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INTERSECTION THEOREMS CONCERNING NONCOMPACT SETS WITH H-CONVEX SECTIONS AND THEIR APPLICATIONS 被引量:1
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第1期85-92,共8页
In this paper, we prove some intersection theorems concerning noncompact sets with H-convex sections which generalize the corresponding results of Ma, Fan, Tarafdar, Lassonde and Shin-Tan to H-spaces without the linea... In this paper, we prove some intersection theorems concerning noncompact sets with H-convex sections which generalize the corresponding results of Ma, Fan, Tarafdar, Lassonde and Shin-Tan to H-spaces without the linear structure and to noncompact setting. An application to von Neumann type minimax theorems is given. 展开更多
关键词 H-SPACE H-convex weakly H-convex continuous selection theorem coincidence theorem
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Existence of Multiple Solutions for a Superlinear Sturm Liouville BVPs
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作者 孙伟平 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 2000年第1期1-4,共4页
The existence of solutions of a Sturm Liouville boundary value problem(BVP) for u″+g(u)=p(t,u,u′)(0≤t≤1) is studied by using a continuation theorem based on the topological degree theory. Under the condition that... The existence of solutions of a Sturm Liouville boundary value problem(BVP) for u″+g(u)=p(t,u,u′)(0≤t≤1) is studied by using a continuation theorem based on the topological degree theory. Under the condition that g grows superlinearly and p grows with respect to u and u′ linearly at most, the boundary value problem has an infinitude of solutions. 展开更多
关键词 continuation theorem topological degree superlinearity
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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS 被引量:23
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作者 LuShiping GeWeigao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第4期382-390,共9页
By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation d N d t=N(t)[a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(... By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation d N d t=N(t)[a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(t)N′(t-τ(t))]. 展开更多
关键词 positive periodic solution abstract continuation theorem neutral functional differential equation.
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EXISTENCE OF POSITIVE SOLUTION FOR A TWO-PATCHES COMPETITION SYSTEM WITH DIFFUSION AND TIME DELAY AND FUNCTIONAL RESPONSE 被引量:12
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作者 LiBiwen ZengXianwu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第1期1-8,共8页
By using the continuation theorem of coincidence theory, the existence of a positive periodic solution for a two patches competition system with diffusion and time delay and functional responsex [FK(W1*3/4。*2/3]... By using the continuation theorem of coincidence theory, the existence of a positive periodic solution for a two patches competition system with diffusion and time delay and functional responsex [FK(W1*3/4。*2/3]′ 1 (t)=x 1(t)a 1(t)-b 1(t)x 1(t)-c 1(t)y(t)1+m(t)x 1(t)+D 1(t)[x 2(t)-x 1(t)], x [FK(W1*3/4。*2/3]′ 2 (t)=x 2(t)a 2(t)-b 2(t)x 2(t)-c 2(t)∫ 0 -τ k(s)x 2(t+s) d s+D 2(t)[x 1(t)-x 2(t)], y′(t)=y(t)a 3(t)-b 3(t)y(t)-c 3(t)x 1(t)1+m(t)x 1(t)is established, where a i(t),b i(t),c i(t)(i=1,2,3),m(t) and D i(t)(i=1,2) are all positive periodic continuous functions with period w >0, τ is a nonnegative constant and k(s) is a continuous nonnegative function on [- τ ,0]. 展开更多
关键词 periodic solutions competition diffusive system functional response continuation theorem of coincidence degree topological degree.
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Periodic Solution for Diffusive Predator-Prey System with Functional Response 被引量:4
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作者 Li Bi\|wen 1,2 , Cheng Jian 1 1. Department of Mathematics, Hubei Normal University, Huangshi 435002, Hubei,China 2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei,China 《Wuhan University Journal of Natural Sciences》 CAS 2002年第3期267-273,共7页
In this paper, a three species diffusive predator-prey model with functional response is studied, where all parameters are time dependent. By using the continuation theorem of coincidence degree theory, the existence ... In this paper, a three species diffusive predator-prey model with functional response is studied, where all parameters are time dependent. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for this system is established. 展开更多
关键词 diffusive model functional nesponse positive periodic solution continuation theorem of coincidence degree fopological degree
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Periodic Solutions of Mixed Type p-Laplacian Equations with Deviating Arguments 被引量:5
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作者 WANG Xiao-ming 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期177-182,共6页
Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,... Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results. 展开更多
关键词 P-LAPLACIAN periodic solutions mixed type deviating argument Man’asevichMawhin continuation theorem
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HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS 被引量:2
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作者 鲁世平 郑亮 陈丽娟 《Acta Mathematica Scientia》 SCIE CSCD 2013年第5期1361-1374,共14页
By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, ... By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, and then the homoclinic solutions are obtained as the limit points of a certain subsequence of the above set. 展开更多
关键词 homoclinic solution periodic solution neutral functional differential system Mawhin's continuation theorem
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The Existence and Uniqueness of Periodic Solutions for a Kind of Lienard Equation with a Deviating Argument 被引量:2
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作者 WANG Na 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第1期74-80,共7页
By means of Mawhin's continuation theorem,we study a kind of lie'nard functional differential equations:x"(t)+f(x(t))x'(t)+g(t,x(t-τ(t))) = e(t).Some new results on the existence and uniqueness of pe... By means of Mawhin's continuation theorem,we study a kind of lie'nard functional differential equations:x"(t)+f(x(t))x'(t)+g(t,x(t-τ(t))) = e(t).Some new results on the existence and uniqueness of periodic solutions are obtained. 展开更多
关键词 periodic solution deviating argument lie’nard equations continuation theorem
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Existence of Solutions to Multi-point BVP with p-Laplacian at Resonance 被引量:2
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作者 LI Li-fang GE Wei-gao 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第3期379-384,共6页
This paper is concerned with the existence of solutions for the following multipoint boundary value problem at resonance{(Φp (x'))' + f(t,x)=0,0 < t < 1,x' (0)=x'(ξ) x(1)=m-3 ∑i=1 βi x(η i),... This paper is concerned with the existence of solutions for the following multipoint boundary value problem at resonance{(Φp (x'))' + f(t,x)=0,0 < t < 1,x' (0)=x'(ξ) x(1)=m-3 ∑i=1 βi x(η i),where βi∈ R,m-3 ∑i=1 β i=1,0 < η 1 < η 2 < ··· < ηm-3 < 1,m-3 ∑i=1 βiηi=1,0 < ξ < 1.An existence theorem is obtained by using the extension of Mawhin's continuation theorem.Since almost all the multi-point boundary value problem at resonance in previous papers are for the linear operator without p-Laplacian by the use of Mawhin's continuation theorem,our method is new. 展开更多
关键词 multi-point boundary value problem the extension of Mawhin’s continuation theorem RESONANCE p-Laplacian operator
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PERIODIC SOLUTIONS OF THIRD-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS 被引量:2
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作者 Zhang Zhengqiu Wang ZhichengDept.ofAppl.Math.,HunanUniv.,Changsha410082,China 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第2期145-154,共10页
The sufficient condition for the existence of2 π- periodic solutions of the following third- order functional differential equations with variable coefficients a(t) x (t) +bx″2 k- 1(t) +cx′2 k- 1(t) + 2 k- 1 i=1... The sufficient condition for the existence of2 π- periodic solutions of the following third- order functional differential equations with variable coefficients a(t) x (t) +bx″2 k- 1(t) +cx′2 k- 1(t) + 2 k- 1 i=1 cixi(t) +g(x(t-τ) ) =p(t) =p(t+2π) is obtained.The approach is based on the abstract continuation theorem from Mawhin and the a- priori estimate of periodic solutions 展开更多
关键词 periodic solution abstract continuation theorem a- priori estimate coincidence degree functional differential equation
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Existence of Solutions for Second Order Three-Point Boundary Value Problems with Nonlinear Growth 被引量:2
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作者 ZHANGHui-xing LIUWen-bin ZHANGJian-jun CHENTai-yong 《Journal of China University of Mining and Technology》 EI 2005年第2期163-166,共4页
The existence of solutions for second order three-point boundary value problems with nonlinear growth at resonance is studied by using Mawhin continuation theorem. The result shows that theorem 1 and 2 at least have o... The existence of solutions for second order three-point boundary value problems with nonlinear growth at resonance is studied by using Mawhin continuation theorem. The result shows that theorem 1 and 2 at least have one solution in c1[0,1] 展开更多
关键词 three-point boundary value problems RESONANCE mawhin continuation theorem.
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Existence of Two Periodic Solutions of a Delayed Single Species Model with Feedback Regulation and Harvest Term 被引量:1
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作者 TIAN De-sheng CAI Guang-xing YANG Ce-ping 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第3期407-413,共7页
By means of the continuation theorem of the coincidence degree theory,the existence of two periodic solutions of a delayed single species model with feedback regulation and harvest term is obtained.
关键词 two periodic solutions delayed single-species model feedback regulation and harvest term continuation theorem of the coincidence degree theory
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SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY
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作者 孔凡超 罗治国 《Acta Mathematica Scientia》 SCIE CSCD 2017年第6期1803-1816,共14页
This paper is concerned with the non-Newtonian filtration equations with non- linear sources and a time-varying delay. By an extension of Mawhin's continuation theorem and some analysis methods, several sufficient co... This paper is concerned with the non-Newtonian filtration equations with non- linear sources and a time-varying delay. By an extension of Mawhin's continuation theorem and some analysis methods, several sufficient conditions ensuring the existence of solitary wave and periodic wave solutions are obtained. Some corresponding results in the literature are improved and extended. An example is given to illustrate the effectiveness of our results. 展开更多
关键词 solitary wave periodic wave Mawhin's continuation theorem time:varyingdelay nonlinear sources
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PERIODIC SOLUTIONS FOR GENERALIZED PREDATOR-PREY SYSTEMS WITH TIME DELAY AND DIFFUSION
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作者 李必文 《Acta Mathematica Scientia》 SCIE CSCD 2004年第1期151-160,共10页
A set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for delayed generalized predator-prey dispersion systemwhere ai(t),bi(t) and Di(t)(i = 1, 2) axe positive c... A set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for delayed generalized predator-prey dispersion systemwhere ai(t),bi(t) and Di(t)(i = 1, 2) axe positive continuous T-periodic functions, gi(t,xi) (i = 1,2) and h(t,y) are continuous and T-periodic with respect to t and h(t,y) > 0 for y>0,t, y∈R,pi(x)(i=1,2) are continuous and monotonously increasing functions, and Pi(xi)>0 for xi>0. 展开更多
关键词 Positive periodic solution continuation theorem of coincidence degree predator-prey system DIFFUSION DELAY
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Homoclinic Solutions for a Prescribed Mean Curvature Lienard p-Laplacian Equation with a Deviating Argument
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作者 兰德新 陈文斌 《Journal of Donghua University(English Edition)》 EI CAS 2016年第3期392-398,共7页
Homoclinic solutions were introduced for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argument.It was divided into three parts to discuss the existence of homoclinic solutions.By using an ... Homoclinic solutions were introduced for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argument.It was divided into three parts to discuss the existence of homoclinic solutions.By using an extension of Mawhin's continuation theorem,the existence of a set with 2kT-periodic for a prescribed mean curvature Lienard p-Laplacian equation with a deviating argument was studied.According to a limit on a certain subsequence of 2kT-periodic set,homoclinic solutions were obtained.A numerical example demonstrates the validity of the main results. 展开更多
关键词 homoclinic solution Lienard p-Laplacian equation continuation theorem prescribed mean curvature
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A REGULAR VALUE OF COMPACT DEFORMATION
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作者 J.M.Soriano 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第9期1265-1274,共10页
Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one .value in a specific open ball. The proof of the result is constructive and based upon continu... Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one .value in a specific open ball. The proof of the result is constructive and based upon continuation methods. 展开更多
关键词 regular value continuation methods continuous dependence theorem C^1- homotopy proper mapping compact mapping Fredholm mapping topological complement Sard-Smale theorem
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Existence of Anti-periodic Solution for Differential Equations
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作者 FU NING 《Communications in Mathematical Research》 CSCD 2010年第4期369-374,共6页
In this paper,we discuss the anti-periodic boundary value problem for a class of first order differential equations.By using homotopy method,we obtain the conditions for the existence of anti-periodic solution for the... In this paper,we discuss the anti-periodic boundary value problem for a class of first order differential equations.By using homotopy method,we obtain the conditions for the existence of anti-periodic solution for the equation under consideration.This result can be extended to higher order differential equations. 展开更多
关键词 continuation theorem anti-periodic solution homotopy method
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THE AUTOMATIC GENERATION OF LIMIT STATE FUNCTION OF HINGED STRUCTURE
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作者 车维毅 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第12期1187-1193,共7页
In this paper, the theorem of structure continual variation of truss structure in the analysis of structure reliability is derived, and it is used to generate limit state function automatically. We can avoid repeated ... In this paper, the theorem of structure continual variation of truss structure in the analysis of structure reliability is derived, and it is used to generate limit state function automatically. We can avoid repeated assembly of global stiffness matrix and repeated inverse operations of the matrix caused by constant changes of structure topology. A new criterion of degenerate of the structure into mechanism is introduced. The calculation examples are satisfactory. 展开更多
关键词 hinged structure continual variation theorem limit state function
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Positive Periodic Solutions of Nonautonomous Delayed Predator-Prey System with Pulse Controls
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作者 Bin Wang Shunqiang Shi Ping Luo 《Journal of Applied Mathematics and Physics》 2021年第7期1452-1467,共16页
In this paper, a biological model for two predators and one prey with impulses and periodic delays is considered. By assuming that one predator consumes prey according to Holling II functional response while the other... In this paper, a biological model for two predators and one prey with impulses and periodic delays is considered. By assuming that one predator consumes prey according to Holling II functional response while the other predators consume prey according to the Beddington-DeAngelis functional response, based on the coincidence degree theory, the existence of positive periodic solutions of nonautonomous predator-prey system with impulses and periodic delays is obtained under suitable conditions. 展开更多
关键词 Positive Periodic Solution PREDATOR-PREY IMPULSES Delays Continuation theorem
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Existence of Periodic Solutions for an Output Hidden Feedback Elman Neural Network
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作者 Valéry Covachev Zlatinka Covacheva 《Journal of Software Engineering and Applications》 2020年第12期348-363,共16页
<div style="text-align:justify;"> <span style="font-family:Verdana;">We first recall the sufficient conditions for the existence of a periodic output of a modified Elman neural network ... <div style="text-align:justify;"> <span style="font-family:Verdana;">We first recall the sufficient conditions for the existence of a periodic output of a modified Elman neural network with a periodic input found by using Mawhin’s continuation theorem of coincidence degree theory. Using this result, we obtain sufficient conditions for the existence of a periodic output for an output hidden feedback Elman neural network with a periodic input. Examples illustrating these sufficient conditions are given.</span> </div> 展开更多
关键词 Elman Neural Network Periodic Input and Output Mawhin’s Continuation theorem
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