超线性Emden-Fowler方程奇异边值问题的正解

该文利用锥上的不动点给出了超线性Emden-Fowler方程奇异Dirichlet边值问题正解的存在性.     

一维p-Laplacian方程奇异边值问题的正解

本文讨论了一维p-Laplacian方程奇异边值问题的正解的存在性,其中函数f(t,x)可能在t=0,1都有奇点     

三阶非线性奇异边值问题正解存在性

研究三阶奇异边值问题-x=f(t,x,x,′x)″,t∈(0,1),x(0)=x(′0)=x(′1)=0,其中f:(0,1)×(0,∞)×R×R→R连续,f在x=0,t=0与t=1处具有奇性.通过运用上下解方法和单调逼近理论,得到了该问题新的正解的存在性结果.     

一类四阶次线性奇异边值问题的正解

本文利用极大值原理和通过构造上下解给出了一类四阶次线性微分方程的奇异边值问题有C2[0,1]和C3[0,1]正解存在的充分必要条件.     

超线性奇异边值问题正解存在的充分必要条件

本文利用锥上的不动点定理给出了四阶超线性微分方程奇异边值问题C2[0,1]和C3[0,1]正解存在的充分必要条件.     

负指数Emden Fowler方程奇异边值问题的正解

本文利用上下解方法和不动点理论给出了负指数Ｅｍｄｅｎ Ｆｏｗｌｅｒ方程奇异边值问题有Ｃ［０,１］和Ｃ１［０,１］正解存在的充分必要条件．     

四阶奇异边值问题正解的存在性

本文考虑奇异边值问题ｕ（４）（ｔ）＝λα（ｔ）ｆ（ｔ,ｕ（ｔ））,０＜ｔ＜１,ｕ（０）＝ｕ（１）＝０,ｕ＇＇（０）＝ｕ＇＇（１）＝０当λ在某一区间内变化时,得到了上述边值问题存在正解的一些充分条件。     

四阶奇异边值问题正解的存在性

本文考虑奇异边值问题当λ在某一区间内变化时,得到了上述边值问题存在正解的一些充分条件.     

负指数EmdenFowler方程奇异边值问题的正解

本文利用上下解方法和不动点理论给出了负指数ＥｍｄｅｎＦｏｗｌｅｒ方程奇异边值问题有Ｃ［０,１］和Ｃ１［０,１］正解存在的充分必要条件．     

一类高阶奇异边值问题的正解

本文利用上下解方法给出一类高阶微分方程的奇异边值问题正解的充分条件,改进并推广了韦忠礼在文献［１］中的结果,并指出其证明的漏洞．     

Positive solutions for nonlinear singular boundary value problems

Some sufficient conditions for the existence of positive solutions to Dirichlet boundary value problems of a class of nonlinear second order differential equations are given.     

Singular perturbations for third-order nonlinear multi-point boundary value problem

This paper is devoted to study the following third-order multi-point singularly perturbed boundary value problem

     

Positive solutions of superlinear semipositone singular Dirichlet boundary value problems

In this paper, we study a class of superlinear semipositone singular second order Dirichlet boundary value problem. A sufficient condition for the existence of positive solution is obtained under the more simple assumptions.     

A FOUR-POINT BOUNDARY VALUE PROBLEM FOR NONLINEAR EQUATION

1IntroductionThemethodofupperandlowersolutionshasbecomeastandardtoolforstudyingthesolvabilityoftwo-pointboundaryvalllcproblemsassociatedwitllsecond-ordernonlineardifferentialequations.Inrecent,years,Rachunkovd[1,2,3]studiedthefour--pointboundaryvalueprobl…     

Higher order boundary value problems on time scales

In this paper we study the existence of solutions for Lidstone boundary value problems on time scale. Firstly, by using Schauder fixed point theorem in a cone, we obtain the existence of solutions to a Lidstone boundary value problem (LBVP). Secondly, existence result for this problem is also given by the monotone method. Finally, by using Krasnosel'skii fixed point theorem, it is proved that the LBVP has a positive solution.     

On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations

In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions of first and second order periodic boundary value problems and periodic solutions of functional differential equations. We obtain some new results relative to the lower solution α and upper solution β with α?β.     

Positive solutions of singular boundary value problem of negative exponent Emden—Fowler equation

This paper investigates the existence of positive solutions of a singular boundary value problem with negative exponent similar to standard Emden-Fowler equation. A necessary and sufficient condition for the existence of C[0, 1] positive solutions as well as C¹[0, 1] positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem.     

一类含双参数奇异脉冲微分方程的多解性结果

本文考虑了一类含双参数奇异微分方程边值问题.首先证明了关于抽象算子的一个结果,然后应用到相应的奇异边值问题上,本质上推广了文献[5-8]的结果.