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.
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页数：10
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