Boundary value problems for a class of first order quasilinear ordinary differential equations

被引：1

作者：

Bouchez, Vincent ^{[1
]}

Mawhin, Jean ^{[1
]}

机构：

[1] Catholic Univ Louvain, Inst Rech Math & Phys, B-1348 Louvain La Neuve, Belgium

来源：

PORTUGALIAE MATHEMATICA | 2014年 / 71卷 / 3-4期

关键词：

Periodic Problem; Antiperiodic Problem; Leray-Schauder degree; first order phi-laplacian; MEAN-CURVATURE EQUATION; EXACT MULTIPLICITY; POSITIVE SOLUTIONS; PERIODIC-SOLUTIONS; EXACT NUMBER; TIME MAPS;

D O I：

10.4171/PM/1951

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using continuation theorems of Leray-Schauder degree theory, we obtain existence results for the first order quasilinear boundary value problem (phi(u))' = f(t, u), u(T) = bu(0), where phi : R -> (-a, a) is an homeomorphism such that phi(0) = 0 and f : [0, T] x R -> R is a continuous function, a and T being positive real numbers and b some non zero real number.

引用

页码：217 / 247

页数：31

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