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ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from n=Q to (F(x,u,Du))+integral from n=■Q to (G(x,u))
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作者 严树森 《Acta Mathematica Scientia》 SCIE CSCD 1989年第2期231-240,共10页
In this paper we deal with the existence of infinitely many critical points of the even functional I(u)=integral from n=Q to (F(x,u,Du))+integral from n=(?)Q to (G(x,u)), u∈W^(1,p)(Ω),where G(x, u)=integral from n=o... In this paper we deal with the existence of infinitely many critical points of the even functional I(u)=integral from n=Q to (F(x,u,Du))+integral from n=(?)Q to (G(x,u)), u∈W^(1,p)(Ω),where G(x, u)=integral from n=o to u (g(x,t)dt), under the weak structure conditions on F(x, u, q) by the Mountain Pass Lemma. 展开更多
关键词 ON the existence OF INFINITELY MANY CRITICAL POINTS OF the EVEN FUNCTIONAL integral from n=Q to x u Du ON the existence OF INFINITELY MANY CRITICAL POINTS OF the EVEN FUNCTIONAL integral from n Q to x u
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A study on the psychological needs of nurses caring for patients with coronavirus disease 2019 from the perspective of the existence,relatedness, and growth theory 被引量:4
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作者 Xue Yin Lingdan Zeng 《International Journal of Nursing Sciences》 CSCD 2020年第2期157-160,共4页
Objective:This study aimed to explore the psychological needs of nurses caring for patients with coronavirus disease 2019(COVID-19)and to propose corresponding interventions.Methods:In-depth interviews were conducted ... Objective:This study aimed to explore the psychological needs of nurses caring for patients with coronavirus disease 2019(COVID-19)and to propose corresponding interventions.Methods:In-depth interviews were conducted with 10 nurses who cared for patients with COVID-19.Interview data were analyzed by category analysis from the perspective of the existence,relatedness,and growth theory(ERG).Results:The existence needs were mainly reflected in health and security needs,whereas the relatedness needs consisting mainly of interpersonal needs,humanistic concern needs,and family needs;further,the growth needs were mainly reflected as a strong need for knowledge.Existence needs were the main needs during the epidemic,with health and security needs influencing each other.Humanistic concern needs were the most important of the relatedness needs;interpersonal and family needs were also growing.Conclusion:It is found that the existence,relatedness,and growth needs coexist in clinical nurses.It is helpful to take effective interventions to meet their needs if the needs of nurses caring for COVID-19 patients could be perceived well. 展开更多
关键词 COVID-19 Nursing staff Psychological needs the existence relatedness and growth theORY
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ON THE EXISTENCE AND NODAL CHARACTER OF SOLUTIONS OF SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS 被引量:1
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作者 曹道珉 邓引斌 《Acta Mathematica Scientia》 SCIE CSCD 1990年第4期471-478,共8页
In this paper we prove the existence of k-node solution of singular nonlinear boundary value problems for each k is-an-element-of N union {0}.
关键词 ON the existence AND NODAL CHARACTER OF SOLUTIONS OF SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS BVP
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ON THE EXISTENCE AND NODAL CHARACTER OF THE SOLUTIONS OF SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS 被引量:1
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作者 曹道珉 邓引斌 《Acta Mathematica Scientia》 SCIE CSCD 1991年第4期443-461,共19页
1. Introduction We consider the singular nonlinear boundary value problem where l=v+3/v-1,l+1 is the critical exponent of the embedding of weighted Sobolev space Wt21,2(O, +∞) into Lt2q(O, ∞), v>2. When v=N-1... 1. Introduction We consider the singular nonlinear boundary value problem where l=v+3/v-1,l+1 is the critical exponent of the embedding of weighted Sobolev space Wt21,2(O, +∞) into Lt2q(O, ∞), v>2. When v=N-1 we can get the radial solutions of problem where 2*=2N/N-2 is the critical exponent of the Sobolev embedding H1(Rn)→LQ(RN). Kurtz has discussed the existence of κ-node solution of (1.1), (1.2) for each κ∈N U{0} when the growth rate of |u|l-1u+f(u) is lower then |u|v+3/v-1 i.e. 展开更多
关键词 ON the existence AND NODAL CHARACTER OF the SOLUTIONS OF SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS
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THE EXISTENCE OF INFINITELY MANY SO UTIONS OF QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS IN UNBOUNDED DOMAINS 被引量:1
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作者 李工宝 《Acta Mathematica Scientia》 SCIE CSCD 1989年第2期175-188,共14页
In this paper, we use the concentration-compactness principle together with the Mountain Pass Lemma to get the existence of nontrivial solutions and the existence of infinitely many solutions of the problem need not b... In this paper, we use the concentration-compactness principle together with the Mountain Pass Lemma to get the existence of nontrivial solutions and the existence of infinitely many solutions of the problem need not be compact operators from E to R~1. 展开更多
关键词 the existence OF INFINITELY MANY SO UTIONS OF QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS IN UNBOUNDED DOMAINS
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ON THE EXISTENCE OF LIMIT CYCLES OF LIENARD EQUATION
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作者 黄安基 曹登庆 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第2期125-138,共14页
In this paper, we have proved several theorems which guarantee that the Lienard equation has at least one or n limit cycles without using the traditional assumption G Thus some results in [3-5] are extended. The limit... In this paper, we have proved several theorems which guarantee that the Lienard equation has at least one or n limit cycles without using the traditional assumption G Thus some results in [3-5] are extended. The limit cycles can be located by our theorems. Theorems 3 and 4 give sufficient conditions for the existence of n limit cycles having no need of the conditions that the function F(x) is odd or 'nth order compatible with each other' or 'nth order contained in each other'. 展开更多
关键词 LIM ON the existence OF LIMIT CYCLES OF LIENARD EQUATION CYCLE
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THE EXISTENCE AND UNIQUENESS OF THE SCREW TENSOR FOR THE FINITE DISPLACEMENT OF A RIGIDBODY
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作者 余燊 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1984年第3期1325-1332,共8页
The existence and uniqueness theorem of the screw tensor for the finite displacement of a rigidbody is proposed and then proved using the screw calculus. As a conseguence, formulae are obtained for determining the scr... The existence and uniqueness theorem of the screw tensor for the finite displacement of a rigidbody is proposed and then proved using the screw calculus. As a conseguence, formulae are obtained for determining the screw tensor in terms of the finite displacement data of the rigidbody. 展开更多
关键词 SCT the existence AND UNIQUENESS OF the SCREW TENSOR FOR the FINITE DISPLACEMENT OF A RIGIDBODY
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SIMILARITY TRANSFORMATION, THE STRUCTURE OF THE TRAVELING WAVES SOLUTION AND THE EXISTENCE OF A GLOBAL SMOOTH SOLUTION TO GENERALIZED KURAMOTO SIVASHINSKY TYPE EQUATIONS
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作者 郭柏灵 潘兴德 《Acta Mathematica Scientia》 SCIE CSCD 1991年第1期48-55,共8页
The existence of a global smooth solution for the initial value problem of generalized Kuramoto-Sivashinsky type equations have been obtained. Similarty siolutions and the structure of the traveling waves solution for... The existence of a global smooth solution for the initial value problem of generalized Kuramoto-Sivashinsky type equations have been obtained. Similarty siolutions and the structure of the traveling waves solution for the generalized KS equations are discussed and analysed by using the qualitative theory of ODE and Lie's infinitesimal transformation respectively. 展开更多
关键词 SIMILARITY TRANSFORMATION the STRUCTURE OF the TRAVELING WAVES SOLUTION AND the existence OF A GLOBAL SMOOTH SOLUTION TO GENERALIZED KURAMOTO SIVASHINSKY TYPE EQUATIONS
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THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR EVOLUTION EQUATIONS AND APPLICATIONS TO P. D. E.
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作者 张壮志 《Acta Mathematica Scientia》 SCIE CSCD 1991年第2期231-240,共10页
The main purpose of this paper is to discuss the existence and asymptotic behavior of solutions for [GRAPHICS] and for which the sufficient conditions of asymptotic behavior are obtained and the restriction for the ex... The main purpose of this paper is to discuss the existence and asymptotic behavior of solutions for [GRAPHICS] and for which the sufficient conditions of asymptotic behavior are obtained and the restriction for the existence is reduced. 展开更多
关键词 the existence AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR EVOLUTION EQUATIONS AND APPLICATIONS TO P
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The Existence of Solutions for Kirchhoff-Type Equations with General Singular Terms
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作者 WANG Ji-nan SUN Da-wei 《Chinese Quarterly Journal of Mathematics》 2024年第3期315-323,共9页
We study the existence of solutions for Kirchhoff-type equations.Firstly,we use the Sobolev inequality and the weakly lower semi-continuity of the norm to prove that the corresponding function can reach the global min... We study the existence of solutions for Kirchhoff-type equations.Firstly,we use the Sobolev inequality and the weakly lower semi-continuity of the norm to prove that the corresponding function can reach the global minimum.Then,we use the variational method and some analytical techniques to obtain the existence of the positive solution of the equation whenλis small enough. 展开更多
关键词 Kirchhoff-type equation the existence Positive solution Variational method
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THE EXISTENCE OF GLOBAL SOLUTION AND "BLOW UP" PHENOMENON FOR A SYSTEM OF MULTI DIMENSIONAL SYMMETRIC REGULARIZED WAVE EQUATIONS 被引量:10
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作者 郭柏灵 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1992年第1期59-72,共14页
The existence and uniqueness of the global smooth solution to the initial-boundary valueproblem of a system of multi-dimensions SRWE are proved. The sufficient conditions of 'blowingup' of the solution are given.
关键词 BLOW UP PHENOMENON FOR A SYSTEM OF MULTI DIMENSIONAL SYMMETRIC REGULARIZED WAVE EQUATIONS the existence OF GLOBAL SOLUTION AND
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The Existence of a Weak Solution of Inhomogeneous Quasilinear Elliptic Equation with Critical Growth Conditions 被引量:4
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作者 Li Gongbao Zhou Huansong Wuhan Institute of Mathematical Sciences Academia Sinica P. O. Box 71007 Wuhan, 430071 China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1995年第2期146-155,共10页
In this paper, we get the existence of a weak solution of the following inhomogeneous quasilinear elliptic equation with critical growth conditions: where N≥2, f(x,u)~|u|<sup>m-1</sup>e<sup>b|u|&... In this paper, we get the existence of a weak solution of the following inhomogeneous quasilinear elliptic equation with critical growth conditions: where N≥2, f(x,u)~|u|<sup>m-1</sup>e<sup>b|u|<sup>γ</sup></sup>at +∞, with γ=N/N-1, m≥1, b】0. 展开更多
关键词 LIM the existence of a Weak Solution of Inhomogeneous Quasilinear Elliptic Equation with Critical Growth Conditions MATH
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On the Existence,Uniqueness and Stability of Periodic Solutions of Large Scale Systems with Unbounded Delay 被引量:1
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作者 Wang Lian Wang Muqiu Li Liming Institute of Mathematics Academia Sinica Beijing,100080 China Hebei Institute of Finance and Economics Shijiazhuang,050091 China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1994年第1期88-98,共11页
In this paper,we consider the periodic solution problems for the systems with unbounded delay,and the existence,uniqueness and stability of the periodic solution are dealt with unitedly.First we establish the suitable... In this paper,we consider the periodic solution problems for the systems with unbounded delay,and the existence,uniqueness and stability of the periodic solution are dealt with unitedly.First we establish the suitable delay-differential inequality,then study seperately the problems of periodic solution for the systems with bounded delay,with unbounded delay and the Volterra integral-dlfferentlal systems with infinite delay by using the character of matrix measure and the asymptotic fixed point theorem of poincaré’s periodic operator in the different phase spaces.A series of simple criteria for the existence,uniqueness and stability of these systems are obtained. 展开更多
关键词 On the existence Uniqueness and Stability of Periodic Solutions of Large Scale Systems with Unbounded Delay
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Examination on the existence of slow wave in fluid saturated porous medium with the optical method 被引量:2
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作者 ZHU Guozhen ZHU Xifu LIU Liang(Department of Physics, Tsinghua University Beijing 100084)(State Key Laborotory of ocoustics, The Chinese Academy of science Beijing 100080) 《Chinese Journal of Acoustics》 1999年第4期304-310,共7页
With the shadowgraph method, three ultrasonic pulses in Water, which correspond to the conversion modes of the fast compressional wave, the transverse wave and the slow compressional wave in the sample of Fluid-Satura... With the shadowgraph method, three ultrasonic pulses in Water, which correspond to the conversion modes of the fast compressional wave, the transverse wave and the slow compressional wave in the sample of Fluid-Saturated Porous Medium (FSPM) respectively,were observed and recorded by CCD camera. The positions of these pulses are cousistent with the computed positions and the time interval between these pulses measured by a transmitterreceiver method. 展开更多
关键词 WAVE Examination on the existence of slow wave in fluid saturated porous medium with the optical method
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On the Sufficient Conditions for the Existence of Limit Cycles of the System (dx)-(dt)=y,(dy)/(dt)=(?)bijxiyj
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作者 黄克成 《Acta Mathematica Sinica,English Series》 SCIE 1985年第3期255-260,共6页
关键词 On the Sufficient Conditions for the existence of Limit Cycles of the System DT DX dy ij)x~iy~j
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NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF RICCATI'S EQUATION WITH PERIODIC COEFFICIENTS
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作者 郜奉欣 侯占元 张振国 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1989年第3期219-233,共15页
In this paper, the concept of generalized ω-periodic solution is given for Riccati's equationy'=a(t)y^2+b(t)y+c(t)with perriodic coefficients, the relation between generalized ω-periodicsolutions and the cha... In this paper, the concept of generalized ω-periodic solution is given for Riccati's equationy'=a(t)y^2+b(t)y+c(t)with perriodic coefficients, the relation between generalized ω-periodicsolutions and the characteristic numbers of system x'_1=c(t)x_2, x'_2=-a(t)x_1-b(t)x_2 is indicated, andseveral necessary and sufficient conditions are given using the coefficients. Moreover, in the case of a(t)without zero, the relation between the number of continuous ω-periodic solutions of y'=a(t)y^2+b(t)y+c(t)+δand the parameter δ is given; thus the problem on the existence of continuous ω-periodic.solutions is basically solved. 展开更多
关键词 TH PS NECESSARY AND SUFFICIENT CONDITIONS FOR the existence OF PERIODIC SOLUTIONS OF RICCATI’S EQUATION WITH PERIODIC COEFFICIENTS exp
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THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE 0F PERIODIC SOLUTIONS OF A TYPE OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
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作者 张毅 章毅 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1991年第1期74-79,共6页
In this paper, using Fourier series, we study the problem of the existence of periodic solutionsof a type of periodic neutral differential difference system. Some necessary and sufficient conditionsfor the existence o... In this paper, using Fourier series, we study the problem of the existence of periodic solutionsof a type of periodic neutral differential difference system. Some necessary and sufficient conditionsfor the existence of periodic solutions of a type of neutral functional equation system are obtained,and at the same time, we present a method with formula shows how to find the periodicsolutions. 展开更多
关键词 OD OP PER the NECESSARY AND SUFFICIENT CONDITIONS FOR the existence 0F PERIODIC SOLUTIONS OF A TYPE OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
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Erratum: Examination on the existence of slow wave in fluid saturated porous medium with optical method
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作者 ZHU Guozhen ZHU xifu LIU Liang (Department of Physics, Tsinghua University Beijing 100080) (State Key Lab. Acoustics, Chinese Academy of Sciences Beijing 100080) 《Chinese Journal of Acoustics》 2000年第1期96-96,共1页
关键词 Erratum Examination on the existence of slow wave in fluid saturated porous medium with optical method WAVE
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The existence of identity of periodic semigroup rings
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作者 Yang, HX Luo, YF 《Chinese Science Bulletin》 SCIE EI CAS 1997年第7期614-615,共2页
IN ref. [1], Ponizovskiǐ raised the following problem: which semigroup rings are rings with identity? In ref. [2], Li investigated orthodox semigroup rings. In this letter we discuss periodic semigroup rings. Using t... IN ref. [1], Ponizovskiǐ raised the following problem: which semigroup rings are rings with identity? In ref. [2], Li investigated orthodox semigroup rings. In this letter we discuss periodic semigroup rings. Using the same notation as in ref. [2], we 展开更多
关键词 the existence of identity of periodic semigroup rings
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NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIAPUNOV FUNCTION OF LUR'E FORM WITH■≤0
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作者 仵永先 赵素霞 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1990年第3期245-250,共6页
This paper is concerned with the problem of absolute stability for a control system with severalexecutive elements. Necessary and sufficient conditions are obtained for the existence of Liapunovfunction of Lur'e f... This paper is concerned with the problem of absolute stability for a control system with severalexecutive elements. Necessary and sufficient conditions are obtained for the existence of Liapunovfunction of Lur'e form with negative semi--definite derivative (i.e. V≤0). 展开更多
关键词 NECESSARY AND SUFFICIENT CONDITIONS FOR the existence OF LIAPUNOV FUNCTION OF LUR’E FORM WITH
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