The present paper deals with three new species of the family Salticidae collected from Mount Jianfengling, Hainan, China. All types are deposited in the Institute of Zoology, Academia Sinica, Beijing. 1. Laufeia prosz...The present paper deals with three new species of the family Salticidae collected from Mount Jianfengling, Hainan, China. All types are deposited in the Institute of Zoology, Academia Sinica, Beijing. 1. Laufeia proszynskii sp. nov. (figs.1-2) Holotype, Mount Jianfengling (18°7′N, 108°8′E), rain forest, May 3,1982.展开更多
In this paper, we study the initial boundary value problem of coupled generalized Kirchhoff equations. Firstly, the rigid term and nonlinear term of Kirchhoff equation are assumed appropriately to obtain the prior est...In this paper, we study the initial boundary value problem of coupled generalized Kirchhoff equations. Firstly, the rigid term and nonlinear term of Kirchhoff equation are assumed appropriately to obtain the prior estimates of the equation in E<sub>0</sub> and E<sub>k</sub> space, and then the existence and uniqueness of solution is verified by Galerkin’s method. Then, the solution semigroup S(t) is defined, and the bounded absorptive set B<sub>k</sub> is obtained on the basis of prior estimation. Through using Rellich-Kondrachov compact embedding theorem, it is proved that the solution semigroup S(t) has the family of the global attractors A<sub>k</sub> in space E<sub>k</sub>. Finally, by linearizing the equation, it is proved that the solution semigroup S(t) is Frechet differentiable on E<sub>k</sub>, and the family of global attractors A<sub>k</sub> have finite Hausdroff dimension and Fractal dimension.展开更多
This paper mainly studies the initial value problems of Kirchhoff-type coupled equations. Firstly, by giving the hypothesis of Kirchhoff stress term , the Galerkin’s method obtains the existence uniqueness of the ove...This paper mainly studies the initial value problems of Kirchhoff-type coupled equations. Firstly, by giving the hypothesis of Kirchhoff stress term , the Galerkin’s method obtains the existence uniqueness of the overall solution of the above problem by using a priori estimates in the spaces of E<sub>0</sub> and E<sub>k</sub>, and secondly, it proves that there is a family of global attractors for the above problem, and finally estimates the Hausdorff dimension and the Fractal dimension of the family of global attractors.展开更多
Zheng Yu is addicted to cats. Her childhood dream to keep a cat was finally realized last year when she started to work and got her ownapartment. However, over the course of several months. Zheng has completely change...Zheng Yu is addicted to cats. Her childhood dream to keep a cat was finally realized last year when she started to work and got her ownapartment. However, over the course of several months. Zheng has completely changed her understanding of keeping a cat.展开更多
The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the L-average, and a united convergence theory with its applications is presented.
In this paper, the concept of globally exponentially attractive set is proposed and used to consider the ultimate bounds of the family of Lorenz systems with varying parameters. Explicit estimations of the ultimate bo...In this paper, the concept of globally exponentially attractive set is proposed and used to consider the ultimate bounds of the family of Lorenz systems with varying parameters. Explicit estimations of the ultimate bounds are derived. The results presented in this paper contain all the existing results as special cases. In particular, the critical cases, b→ 1^+ and a→0^+, for which the previous methods failed, have been solved using a unified formula.展开更多
In this paper,we study the wellness and long time dynamic behavior of the solution of the initial boundary value problem for a class of higher order Kirchhoff equations <img src="Edit_e49f9c34-0a5d-4ef2-828f-b...In this paper,we study the wellness and long time dynamic behavior of the solution of the initial boundary value problem for a class of higher order Kirchhoff equations <img src="Edit_e49f9c34-0a5d-4ef2-828f-ba3f0912bed3.png" alt="" />with strong damping terms. We will properly assume the stress term <i>M(s)</i><span style="position:relative;top:6pt;"><v:shape id="_x0000_i1026" type="#_x0000_t75" o:ole="" style="width:27pt;height:17.25pt;"><v:imagedata src="file:///C:\Users\TEST~1.SCI\AppData\Local\Temp\msohtmlclip1\01\clip_image002.wmz" o:title=""></v:imagedata></v:shape></span> and<span style="letter-spacing:-0.2pt;"> nonlinear term g(u<sub>t</sub>)<span style="position:relative;top:6pt;"><v:shape id="_x0000_i1027" type="#_x0000_t75" o:ole="" style="width:27pt;height:17.25pt;"><v:imagedata src="file:///C:\Users\TEST~1.SCI\AppData\Local\Temp\msohtmlclip1\01\clip_image003.wmz" o:title=""></v:imagedata></v:shape></span>. First, we can prove the existence and uniqueness of the solution of the equation via a prior estimate and Galerkin’s method, then the existence of the family of global attractor is obtained. At last, we can obtain that the Hausdorff dimension and Fractal dimension of the family of global attractor are finite.</span>展开更多
WALKING in any city or ruralarea in China today, one will seewomen with confidence andpride, with their own work and lives.There is not much difference between theurban and rural women in dress. Theirfaces portray con...WALKING in any city or ruralarea in China today, one will seewomen with confidence andpride, with their own work and lives.There is not much difference between theurban and rural women in dress. Theirfaces portray contentment and happiness.These are significant changes which havebeen brought about by women walking outof the family over the past near 50 years,and getting involved in society, alteringtheir dependence on men and making thempeople of dignity. The government knew clearly that展开更多
THIS year is the International Year of the Family which was designated to promote global cooperation on family issues. On May 15, which was named the International Day of the Family. the Ali-China Women’s Federation ...THIS year is the International Year of the Family which was designated to promote global cooperation on family issues. On May 15, which was named the International Day of the Family. the Ali-China Women’s Federation and the Women’s Federation of Beijing organized 18 districts and counties to展开更多
The United Nations has proclaimed 1994 as the International Year of the Family and has defined its objectives to stimulate local, national and international actions as part of a sustained longterm effort to: a. Increa...The United Nations has proclaimed 1994 as the International Year of the Family and has defined its objectives to stimulate local, national and international actions as part of a sustained longterm effort to: a. Increase awareness of family issues among Governments as well as in the private sector. IYF would serve to highlight the importance of families; increase a better understanding of their unctions and problems; promote nowledge of the economic, social and emographic processes affecting展开更多
In this paper, we study the long-time behavior of the solution of the initial boundary value problem of the coupled Kirchhoff equations. Based on the relevant assumptions, the equivalent norm on E<sub>k</sub&...In this paper, we study the long-time behavior of the solution of the initial boundary value problem of the coupled Kirchhoff equations. Based on the relevant assumptions, the equivalent norm on E<sub>k</sub> is obtained by using the Hadamard graph transformation method, and the Lipschitz constant l<sub>F</sub><sub> </sub>of F is further estimated. Finally, a family of inertial manifolds satisfying the spectral interval condition is obtained.展开更多
In this paper, we study the long time behavior of a class of generalized Beam-Kirchhoff equation , and prove the existence and uniqueness of the global solution of this class of equation by Galerkin method by making s...In this paper, we study the long time behavior of a class of generalized Beam-Kirchhoff equation , and prove the existence and uniqueness of the global solution of this class of equation by Galerkin method by making some assumptions about the nonlinear function term . The existence of the family of global attractor and its Hausdorff dimension and Fractal dimension estimation are proved.展开更多
The development of bilingualism of a bilingual child is inextricably linked with the formation of an individual folklore-linguistic picture of the world.In this regard,proverbs,sayings,riddles and folk phraseology as ...The development of bilingualism of a bilingual child is inextricably linked with the formation of an individual folklore-linguistic picture of the world.In this regard,proverbs,sayings,riddles and folk phraseology as universal phenomena of folklore of the Russian and Greek languages,which have important linguistic and cultural potential,are of particular interest from the point of view of their presence in the bilingual speech and thought activity.The quantitative and qualitative characteristics of the functioning of paremiological and phraseological units in a bilingual speech determine the content of folklore language worldview and directly depend on the type of formation of the child’s early bilingualism.Phraseological and paremiological composition of the folklore picture of the world of natural Russian-Greek bilinguals is asymmetric and directly depends on the type of early bilingualism–in bilinguals who learn two languages on the principle of“one-person-one-language”,asymmetry prevails in favor of the Greek language,children from Russian-speaking families whose bilingualism develops according to the principle“family language is the language of society”exhibit better knowledge of Russian folklore elements compared to Greek.展开更多
In this paper, by constructing the one-to-one correspondence between its IFS and the quaternary fractional expansion, the n-th iteration analytical expression and the limit representation of the family of the Koch-typ...In this paper, by constructing the one-to-one correspondence between its IFS and the quaternary fractional expansion, the n-th iteration analytical expression and the limit representation of the family of the Koch-type curves with arbitrary angles are obtained. The distinction between our method and that of H. Sagan is that we provide the generation process analytically and represent it as a graph of a series function which looks like the Weierstrass function. With these arithmetic expressions, we further analyze and prove some of the fractal properties of the Koch-type curves such as the self-similarity, the HSlder exponent and with the property of continuous everywhere but differentiable nowhere. Then, we will show that the Koch- type curves can be approximated by different constructed generators. Based on the analytic transformation of the Koch-type curves, we also constructed more continuous but nowhere-differentiable curves represented by arithmetic expressions. This result implies that the analytical expression of a fractal has theoretical and practical significance.展开更多
文摘The present paper deals with three new species of the family Salticidae collected from Mount Jianfengling, Hainan, China. All types are deposited in the Institute of Zoology, Academia Sinica, Beijing. 1. Laufeia proszynskii sp. nov. (figs.1-2) Holotype, Mount Jianfengling (18°7′N, 108°8′E), rain forest, May 3,1982.
文摘In this paper, we study the initial boundary value problem of coupled generalized Kirchhoff equations. Firstly, the rigid term and nonlinear term of Kirchhoff equation are assumed appropriately to obtain the prior estimates of the equation in E<sub>0</sub> and E<sub>k</sub> space, and then the existence and uniqueness of solution is verified by Galerkin’s method. Then, the solution semigroup S(t) is defined, and the bounded absorptive set B<sub>k</sub> is obtained on the basis of prior estimation. Through using Rellich-Kondrachov compact embedding theorem, it is proved that the solution semigroup S(t) has the family of the global attractors A<sub>k</sub> in space E<sub>k</sub>. Finally, by linearizing the equation, it is proved that the solution semigroup S(t) is Frechet differentiable on E<sub>k</sub>, and the family of global attractors A<sub>k</sub> have finite Hausdroff dimension and Fractal dimension.
文摘This paper mainly studies the initial value problems of Kirchhoff-type coupled equations. Firstly, by giving the hypothesis of Kirchhoff stress term , the Galerkin’s method obtains the existence uniqueness of the overall solution of the above problem by using a priori estimates in the spaces of E<sub>0</sub> and E<sub>k</sub>, and secondly, it proves that there is a family of global attractors for the above problem, and finally estimates the Hausdorff dimension and the Fractal dimension of the family of global attractors.
文摘Zheng Yu is addicted to cats. Her childhood dream to keep a cat was finally realized last year when she started to work and got her ownapartment. However, over the course of several months. Zheng has completely changed her understanding of keeping a cat.
基金This project is supported by the Special Funds for Major State Basic Research Projects(Grant No. G19990328) the National Natural Science Foundation of China(Grant No. 10271025) also supported partly by Zhejiang Provincial Natural Science Foundation o
文摘The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the L-average, and a united convergence theory with its applications is presented.
基金Supported partly by the National Natural Science Foundation of China (Grant Nos. 60474011 and 60274007)the National Natural Science Foun-dation of China for Excellent Youth (Grant No. 60325310)+2 种基金the Guangdong Province Science Foundation for Program of Research Team (Grant No. 04205783)the Natural Science Fund of Guangdong Province, China (Grant No. 05006508)the Natural Science and Engineering Re-search Council of Canada (Grant No. R2686A02)
文摘In this paper, the concept of globally exponentially attractive set is proposed and used to consider the ultimate bounds of the family of Lorenz systems with varying parameters. Explicit estimations of the ultimate bounds are derived. The results presented in this paper contain all the existing results as special cases. In particular, the critical cases, b→ 1^+ and a→0^+, for which the previous methods failed, have been solved using a unified formula.
文摘In this paper,we study the wellness and long time dynamic behavior of the solution of the initial boundary value problem for a class of higher order Kirchhoff equations <img src="Edit_e49f9c34-0a5d-4ef2-828f-ba3f0912bed3.png" alt="" />with strong damping terms. We will properly assume the stress term <i>M(s)</i><span style="position:relative;top:6pt;"><v:shape id="_x0000_i1026" type="#_x0000_t75" o:ole="" style="width:27pt;height:17.25pt;"><v:imagedata src="file:///C:\Users\TEST~1.SCI\AppData\Local\Temp\msohtmlclip1\01\clip_image002.wmz" o:title=""></v:imagedata></v:shape></span> and<span style="letter-spacing:-0.2pt;"> nonlinear term g(u<sub>t</sub>)<span style="position:relative;top:6pt;"><v:shape id="_x0000_i1027" type="#_x0000_t75" o:ole="" style="width:27pt;height:17.25pt;"><v:imagedata src="file:///C:\Users\TEST~1.SCI\AppData\Local\Temp\msohtmlclip1\01\clip_image003.wmz" o:title=""></v:imagedata></v:shape></span>. First, we can prove the existence and uniqueness of the solution of the equation via a prior estimate and Galerkin’s method, then the existence of the family of global attractor is obtained. At last, we can obtain that the Hausdorff dimension and Fractal dimension of the family of global attractor are finite.</span>
文摘WALKING in any city or ruralarea in China today, one will seewomen with confidence andpride, with their own work and lives.There is not much difference between theurban and rural women in dress. Theirfaces portray contentment and happiness.These are significant changes which havebeen brought about by women walking outof the family over the past near 50 years,and getting involved in society, alteringtheir dependence on men and making thempeople of dignity. The government knew clearly that
文摘THIS year is the International Year of the Family which was designated to promote global cooperation on family issues. On May 15, which was named the International Day of the Family. the Ali-China Women’s Federation and the Women’s Federation of Beijing organized 18 districts and counties to
文摘The United Nations has proclaimed 1994 as the International Year of the Family and has defined its objectives to stimulate local, national and international actions as part of a sustained longterm effort to: a. Increase awareness of family issues among Governments as well as in the private sector. IYF would serve to highlight the importance of families; increase a better understanding of their unctions and problems; promote nowledge of the economic, social and emographic processes affecting
文摘In this paper, we study the long-time behavior of the solution of the initial boundary value problem of the coupled Kirchhoff equations. Based on the relevant assumptions, the equivalent norm on E<sub>k</sub> is obtained by using the Hadamard graph transformation method, and the Lipschitz constant l<sub>F</sub><sub> </sub>of F is further estimated. Finally, a family of inertial manifolds satisfying the spectral interval condition is obtained.
文摘In this paper, we study the long time behavior of a class of generalized Beam-Kirchhoff equation , and prove the existence and uniqueness of the global solution of this class of equation by Galerkin method by making some assumptions about the nonlinear function term . The existence of the family of global attractor and its Hausdorff dimension and Fractal dimension estimation are proved.
文摘The development of bilingualism of a bilingual child is inextricably linked with the formation of an individual folklore-linguistic picture of the world.In this regard,proverbs,sayings,riddles and folk phraseology as universal phenomena of folklore of the Russian and Greek languages,which have important linguistic and cultural potential,are of particular interest from the point of view of their presence in the bilingual speech and thought activity.The quantitative and qualitative characteristics of the functioning of paremiological and phraseological units in a bilingual speech determine the content of folklore language worldview and directly depend on the type of formation of the child’s early bilingualism.Phraseological and paremiological composition of the folklore picture of the world of natural Russian-Greek bilinguals is asymmetric and directly depends on the type of early bilingualism–in bilinguals who learn two languages on the principle of“one-person-one-language”,asymmetry prevails in favor of the Greek language,children from Russian-speaking families whose bilingualism develops according to the principle“family language is the language of society”exhibit better knowledge of Russian folklore elements compared to Greek.
基金Supported partly by National Natural Science Foundation of China(No.60962009)
文摘In this paper, by constructing the one-to-one correspondence between its IFS and the quaternary fractional expansion, the n-th iteration analytical expression and the limit representation of the family of the Koch-type curves with arbitrary angles are obtained. The distinction between our method and that of H. Sagan is that we provide the generation process analytically and represent it as a graph of a series function which looks like the Weierstrass function. With these arithmetic expressions, we further analyze and prove some of the fractal properties of the Koch-type curves such as the self-similarity, the HSlder exponent and with the property of continuous everywhere but differentiable nowhere. Then, we will show that the Koch- type curves can be approximated by different constructed generators. Based on the analytic transformation of the Koch-type curves, we also constructed more continuous but nowhere-differentiable curves represented by arithmetic expressions. This result implies that the analytical expression of a fractal has theoretical and practical significance.