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Search Results: 1 - 10 of 36963 matches for " Baoqiang Yan "
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The Existence and Uniqueness of Positive Solutions for a Singular Nonlinear Three-Point Boundary Value Problems  [PDF]
Yao Dong, Baoqiang Yan
Journal of Applied Mathematics and Physics (JAMP) , 2018, DOI: 10.4236/jamp.2018.612217
Abstract:
Using the method of lower and upper solutions, we study the following singular nonlinear three-point boundary value problems:\"\" , where K ∈ C[0,1] ,0 < α <1 , 0 < η < 1 and λ is a positive parameter and present the existence, uniqueness, and the dependency on parameters of the positive solutions under various assumptions. Our result improves those in the previous literatures.
Multiple positive solutions for singular boundary-value problems with derivative dependence on finite and infinite intervals
Baoqiang Yan
Electronic Journal of Differential Equations , 2006,
Abstract: In this paper, Krasnoselskii's theorem and the fixed point theorem of cone expansion and compression are improved. Using the results obtained, we establish the existence of multiple positive solutions for the singular second-order boundary-value problems with derivative dependance on finite and infinite intervals.
Multiple positive solutions for a class of nonresonant singular boundary-value problems
Yansheng Liu,Baoqiang Yan
Electronic Journal of Differential Equations , 2006,
Abstract: Using a specially constructed cone and the fixed point index theory, this paper shows the existence of multiple positive solutions for a class of nonresonant singular boundary-value problem of second-order differential equations. The nonexistence of positive solution is also studied.
Positive solutions for second-order singular three-point boundary-value problems with sign-changing nonlinearities
Caisheng Ji,Baoqiang Yan
Electronic Journal of Differential Equations , 2010,
Abstract: In this article, we study the existence and uniqueness of the positive solution for a second-order singular three-point boundary-value problem with sign-changing nonlinearities. Our main tool is a fixed-point theorem.
Multiple positive solutions for singular m-point boundary-value problems with nonlinearities depending on the derivative
Ya Ma,Baoqiang Yan
Electronic Journal of Differential Equations , 2008,
Abstract: Using the fixed point theorem in cones, this paper shows the existence of multiple positive solutions for the singular $m$-point boundary-value problem $$displaylines{ x''(t)+a(t)f(t,x(t),x'(t))=0,quad 0 Keywords m-point boundary-value problem --- singularity --- positive solutions --- fixed point theorem
Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations
Fengfei Jin,Baoqiang Yan
Boundary Value Problems , 2008, DOI: 10.1155/2008/457028
Abstract: Positive solutions to the singular initial-boundary value problems x ¢ € 2 ¢ € 2= ¢ ’f(t, ¢ € ‰xt), ¢ € ‰0 Keywords
Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations
Jin Fengfei,Yan Baoqiang
Boundary Value Problems , 2008,
Abstract: Positive solutions to the singular initial-boundary value problems are obtained by applying the Schauder fixed-point theorem, where on and may be singular at and . As an application, an example is given to demonstrate our result.
The Nonexistence and Existence of Singular Three-point Boundary Value Problems with Sign-changing Nonlinearities
具有变号非线性项的奇异三点边值问题正解的存在性和不存在性

Yan Baoqiang,
闫宝强

数学物理学报(A辑) , 2011,
Abstract: This paper discusses singular three-point boundary value problems y'(t)+a(t)f(t, y(t), y'(t))= 0, 0
Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on $x'$
Yun Chen,Baoqiang Yan,Lili Zhang
Electronic Journal of Differential Equations , 2007,
Abstract: Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem $$displaylines{ x''(t)+a(t)f(t,x(t),x'(t))=0,quad 0 Keywords Three-point boundary value problem --- singularity --- positive solutions --- fixed point theorem.
Existence of Solutions of Three-Point Boundary Value Problems for Second Order Impulsive Differential Equations
二阶脉冲微分方程三点边值问题解的存在性

SONG Yuxia,YAN Baoqiang,
宋玉霞
,闫宝强

系统科学与数学 , 2008,
Abstract: In this paper, firstly the comparison theorem of three-point boundary value problems for second-order impulsive differential equations is established, and then by means of a monotone iterative method, the existence of solutions of three-point boundary value problems for impulsive second order differential equations is given.
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