Boundary value problems for singular second-order functional differential equations

被引：2

作者：

Liu H.-Z. ^{[1
]}

Jiang D.-Q. ^{[2
]}

Wang Y. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Hebei University of Technology

[2] Department of Mathematics, Northeast Normal University

来源：

Acta Mathematicae Applicatae Sinica | 2002年 / 18卷 / 2期

关键词：

Existence; Schauder fixed point theorem; Singular boundary value problem;

D O I：

10.1007/s102550200023

中图分类号：

学科分类号：

摘要：

Positive solutions to the boundary value problem, (Formula Presented) are obtained by applying the Schauder fixed point theorem, where w(x) is a continuous function defined on [0,1] and f(x,y) is a function defined on (0,1)x(0,∞), which satisfies certain restrictions and may have singularity at y=0. The result corrects and improves an existence theorem due to Erbe and Kong[1]. © Springer-Verlag 2002.

引用

页码：249 / 254

页数：5

共 50 条

[21] On solvability of periodic boundary value problems for second order linear functional differential equations
Bravyi, Eugene
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (05) : 1 - 18
[22] Boundary value problems for a second-order differential equation with involution in the second derivative and their solvability
Sarsenbi, Abdissalam
Sarsenbi, Abdizhahan
AIMS MATHEMATICS, 2023, 8 (11): : 26275 - 26289
[23] Existence theory for single and multiple solutions to singular boundary value problems for second order impulsive differential equations
Zu, Li
Lin, Xianing
Jiang, Daqing
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2007, 30 (01) : 171 - 191
[24] BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DELAY DIFFERENTIAL EQUATIONS
Skora, Lidia
OPUSCULA MATHEMATICA, 2012, 32 (03) : 551 - 558
[25] Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations
Jiang, DQ
Wei, JJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (07) : 885 - 898
[26] Variational Approach to Second-Order Impulsive Partial Differential Equations with Periodic Boundary Value Problems
Li Haichun
Zhang Yulong
2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 821 - 825
[27] NONEXISTENCE OF SOLUTIONS TO SOME BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS
Karakostas, George L.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[28] Positive Solutions for Boundary Value Problems of Second-Order Functional Dynamic Equations on Time Scales
Karaca, Ilkay Yaslan
ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[29] Singular Initial Value Problems for Some Quasi-Linear Second-Order Ordinary Differential Equations
Seiler, Werner M.
Seiss, Matthias
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024,
[30] Monotonic Positive Solutions of Nonlocal Boundary Value Problems for a Second-Order Functional Differential Equation
El-Sayed, A. M. A.
Hamdallah, E. M.
El-Kadeky, Kh. W.
ABSTRACT AND APPLIED ANALYSIS, 2012,

← 1 2 3 4 5 →