Positive solutions of nonlinear multi-point boundary value problems

被引：7

作者：

Dogan, Abdulkadir ^{[1
]}

机构：

[1] Abdullah Gul Univ, Fac Comp Sci, Dept Appl Math, TR-38039 Kayseri, Turkey

来源：

POSITIVITY | 2018年 / 22卷 / 05期

关键词：

Differential equation; Nonlinear boundary value problems; Positive solutions; Fixed point theorem; DIMENSIONAL P-LAPLACIAN; SIGN-CHANGING NONLINEARITY; DIFFERENTIAL-EQUATIONS; EXISTENCE; ITERATION;

D O I：

10.1007/s11117-018-0583-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution if f is nonnegative and continuous. Positive solutions of the above boundary value problem satisfy theHarnack inequality inf(0 <= t <= 1) u(t) >= gamma parallel to u parallel to(infinity.)

引用

页码：1387 / 1402

页数：16

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