Existence of Positive Solution for the Eighth-Order Boundary Value Problem Using Classical Version of Leray-Schauder Alternative Fixed Point Theorem

被引：7

作者：

Shanmugam, Thenmozhi ^{[1
]}

Muthiah, Marudai ^{[1
]}

Radenovic, Stojan ^{[2
,3
]}

机构：

[1] Bharathidasan Univ, Dept Math, Tiruchirappalli 620024, Tamil Nadu, India

[2] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City 758307, Vietnam

[3] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 758307, Vietnam

来源：

AXIOMS | 2019年 / 8卷 / 04期

关键词：

eighth-order boundary value problem; Green's function; Leray-Schauder nonlinear alternative; nontrivial solution; fixed points;

D O I：

10.3390/axioms8040129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate the existence of solutions for the particular type of the eighth-order boundary value problem. We prove our results using classical version of Leray-Schauder nonlinear alternative fixed point theorem. Also we produce a few examples to illustrate our results.

引用

页数：13

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