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
收藏
页数：13
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