Existence Results for Nonlinear Problems with φ-Laplacian Operators and Nonlocal Boundary Conditions

被引：0

作者：

Dallos Santos, Dionicio Pastor ^{[1
]}

机构：

[1] Univ Sao Paulo, IME, Dept Math, BR-05508090 Sao Paulo, SP, Brazil

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Boundary value problem; Leray-Schauder degree; Brouwer degree; nonlocal boundary conditions; Fixed point theorem; PERIODIC-SOLUTIONS; P-LAPLACIAN;

D O I：

10.5269/bspm.41594

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Leray-Schauder degree theory, we study the existence of at least one solution for the boundary value problem of the type {(phi(u'))' = f(t, u, u') u' (0) = u(0), u'(T) = bu'(0), where phi : R -> R is a homeomorphism such that phi(0) = 0, f : [0, T] x R x R -> R is a continuous function, T a positive real number, and b some non zero real number.

引用

页数：10

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