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度量空间上一类压缩型映射对的公共不动点定理
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作者 施彩凤 《南京化工学院学报》 1992年第2期26-28,共3页
给出了度量空间上一类非线性压缩型映射对的公共不动点定理,进而给出了这一对映射与另一可交换映射的公共不动点定理。推广了张石生1982年所得的关于单个映射的相应结果。
关键词 不动点理 映射对 度量空间
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二阶微分方程无穷边值问题的存在性 被引量:3
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作者 邢美红 张克梅 王春梅 《曲阜师范大学学报(自然科学版)》 CAS 2008年第3期25-28,共4页
利用Schauder不动点原理得出[0,+∞)二阶微分方程无穷边值问题正解存在的判定定理.
关键词 不动点 边值问题 正解
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A Generalization of Caristi Fixed Point Theorem 被引量:5
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作者 孙经先 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第1期72-75,共4页
Let X be a metric space with an ordering structure,A: X→X is a operator and x≤Ax for any x∈X. In this paper we prove a new fixed point theorem, which generalizes famous caristi fixed point theorem.
关键词 metric space partially ordred set fixed point theorem
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Singular Perturbation of Two Points Boundary Value Problems for a Class of Third Order Quasilinear Differential Equations 被引量:1
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作者 谢峰 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第3期69-74,共6页
In this paper, the fixed-point Theorem i s used to estimate an asymptotic solution of boundary value problems for a class o f third order quasilinear differential equation and the uniformly valid asymptot ic expansio... In this paper, the fixed-point Theorem i s used to estimate an asymptotic solution of boundary value problems for a class o f third order quasilinear differential equation and the uniformly valid asymptot ic expansion of solution of any orders including boundary layer is obtained. 展开更多
关键词 fixed-point Theorem quasilinear differential eq uation asymptotic expansion singular perturbaiton
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Positive Solutions of a Semilinear Elliptic Equation with Coefficient That Changes Sign
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作者 马如云 姚庆六 李宝麟 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期10-14,共5页
We prove the existence of a positive solution to the problem-Δu=a(x)f(u), x∈Ω, u(x)=0,x∈Ω,where Ω is a bounded domain in R n with smooth boundary, a(x) is allowed to change sign.
关键词 elliptic equation positive solution Leray-Schauder fixed point theorem
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Existence of Multiple Positive Solutions for Higher-Order p-Laplacian Boundary Value Problems
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作者 贺小明 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 2002年第2期212-216,共5页
The existence of multiple positive solutions for a class of higher order p Laplacian boundary value problem is studied. By means of the Leggett Williams fixed point theorem in cones, existence criteria which e... The existence of multiple positive solutions for a class of higher order p Laplacian boundary value problem is studied. By means of the Leggett Williams fixed point theorem in cones, existence criteria which ensure the existence of at least three positive solutions of the boundary value problem are established. 展开更多
关键词 positive solutions cone Leggett Williams fixed point theorem p Laplacian boundary value problems
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The Global Solutions of Impulsive Retarded Functional Differential Equations
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作者 王儒智 孙建安 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第3期94-99,共6页
In this paper, we present some results on the existence of the golbal solutions of nonlinear impulsive retarded functional differential equations.
关键词 Fréchet spaces Tychonoff fixed point Theorem impulsive retarded functional differential equations
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An Existence Theorem of Positive Solution for Fourth-order Superlinear Semipositone Eigenvalue Problems
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作者 江秀芬 姚庆六 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第2期64-68,共5页
In this paper we investigate the existence of positive solution for a class of fourth_order superlinear semipositone eigenvalue problems. This class of problems usually describes the deformation of the elastic beam wh... In this paper we investigate the existence of positive solution for a class of fourth_order superlinear semipositone eigenvalue problems. This class of problems usually describes the deformation of the elastic beam whose both end_points are fixed. 展开更多
关键词 elastic beam equation existence of positive solution SEMIPOSITONE fixed point theorem on cone
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Uniqueness of Solutions to Differential-Iterative Equation
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作者 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 1997年第3期201-207,共7页
Conditions for the uniqueness of solutions to the differential-iterative equations x'(t)=f(x(x(t))) are given by use of fixed point theorems.
关键词 differential-iterative equation continuous map fixed point gheorem
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Existence of Positive Solutions for a Class of Degenerate and Nondegenerate Stable Diffusion Models
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作者 张彦肖 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第3期50-56,共7页
This paper is concerned with a class of degenerate and nondegenerate stable diffusion models.By using the upper and lower solution method and Schauder fixed point principle,the author studies the existence of positive... This paper is concerned with a class of degenerate and nondegenerate stable diffusion models.By using the upper and lower solution method and Schauder fixed point principle,the author studies the existence of positive solutions for these stable_diffusion models under some conditions. 展开更多
关键词 weak upper and lower solutions elliptic system positive solution
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Oscillation in a Class of Neutral Differential Equations with Positive and Negative Coefficients
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作者 单文锐 葛渭高 郭彦平 《Journal of Beijing Institute of Technology》 EI CAS 2002年第3期321-324,共4页
The oscillatory behavior of neutral differential equation with positive and negative coefficients is investigated by mathematics analysis technique and the fixed point principle. Some sufficient conditions for oscilla... The oscillatory behavior of neutral differential equation with positive and negative coefficients is investigated by mathematics analysis technique and the fixed point principle. Some sufficient conditions for oscillation of neutral differential equation with positive and negative coefficients are obtained. 展开更多
关键词 neutral differential equation OSCILLATION fixed point principle positive and negative coefficients
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Common Fixed Point Theorems for Sequences of φ-type Contraction Set-valued Mappings 被引量:9
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作者 WU Jian-rong LIU Hai-yan 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期504-510,共7页
In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings a... In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings are also obtained. 展开更多
关键词 sequence of set-valued mappings common fixed point random fixed point metric space
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A Boundary Value Problem for Second Order Functional Differential Equations with Impulses
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作者 何智敏 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 1998年第4期323-329,共7页
Aim To investigate the boundary value problem for second order functional differentiai equations with impulses. Methods The fixed point principle was used to establish our results. Results and Conclusion The results o... Aim To investigate the boundary value problem for second order functional differentiai equations with impulses. Methods The fixed point principle was used to establish our results. Results and Conclusion The results of the esistence, the uniqueness and the continuous dependence on aprameter of soiutions of the boundary value problems for second order functional differential equations with impulses are obtained. 展开更多
关键词 functional differential equation boundary value Problem impulse fixed point principle
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Fan-Browder Type Fixed Point Theorems and Its Applications on Generalized Convex Product Spaces 被引量:2
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作者 PIAO Yong-Jie 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期349-355,共7页
Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maximai element and equilibrium point are discussed as ap... Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maximai element and equilibrium point are discussed as applications of above results. 展开更多
关键词 generalized convex space F-convex maximal element partially maximal element equilibrium point
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A New Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Section Questions and Intersection Questions 被引量:3
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作者 WEN Kai-ting 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期112-116,共5页
In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem ar... In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained. 展开更多
关键词 hyperconvex metric space fixed point sub-admissible set noncompact measure SECTION INTERSECTION
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Two Positive Periodic Solutions of Delay Functional Difference System with Feedback Control 被引量:1
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作者 GUO Peng-fei ZHU Xian-yang LI Yong-kun 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期102-107,共6页
By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x(n)=-b(n)x(n)+f... By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x(n)=-b(n)x(n)+f(n,x(n-τ1(n)),…,x(n-τm(n)),u(n-δ(n))),△u(n)=-η(n)u(n)+a(n)x(n-σ(n)),n∈Z. 展开更多
关键词 delay difference system positive periodic solution feedback control fixed pointtheorem
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Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete,Convex Metric Spaces 被引量:1
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作者 LIANGJun-qi ZHANGZhi-hong ZHAOLing 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期264-270,共7页
Under the conditions of compatility or sub -c ompatility between a sigle-valued mapping and set-valued mapping, this paper d iscusses the existence of common fixed points for two set-valued mappings and a single-value... Under the conditions of compatility or sub -c ompatility between a sigle-valued mapping and set-valued mapping, this paper d iscusses the existence of common fixed points for two set-valued mappings and a single-valued mapping in complete, convex matric spaces. We extend and develop the main results. 展开更多
关键词 complete convex metric spaces compatible mappings s ub-compatible mappings common fixed point theorems
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The Fixed Point Theorems of α-concave Covex Operators with Application 被引量:2
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作者 颜心力 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第2期88-91,共4页
The coceptions of two element α-concave convex and mixed α-concave convex operators are introduced. The fixed point theorems of the two type operators are obtained. By these theorems,the existence and uniquence of s... The coceptions of two element α-concave convex and mixed α-concave convex operators are introduced. The fixed point theorems of the two type operators are obtained. By these theorems,the existence and uniquence of solution of three type nonlinear integral equations is studied. 展开更多
关键词 semi-order space α-concave convex operator mixed α-concave convex operator
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The Existence of Multiple Solutions for Second Order Differential Equations with Infinite Delay
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作者 孙兴旺 代新利 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第4期378-387,共10页
This paper discusses the existence of multiple solutions for second order differential equations with infinite delay.
关键词 differential euqations infinite delay Schauder fixed point theorem
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The Application of the Fixed-point Theory in Jacketed Solution of Singularly Perturbed Nonlinear Problem
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作者 CHENG Yan (Department of Basic Course, Artillery Academy of P.L.A., Hefei 230031, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期103-107,共5页
In this paper,the fixed_point theorem is used to estimated an asymptotic solution of initial value problems for a class of third nonlinear differential equations which has double initial_layer properties. We obtain th... In this paper,the fixed_point theorem is used to estimated an asymptotic solution of initial value problems for a class of third nonlinear differential equations which has double initial_layer properties. We obtain the uniformly valid asymptotic expansion of any orders including boundary layers. 展开更多
关键词 fixed_point theorem asymptotic expansion jacketed solution singular perturbation
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