Well-posed Dirichlet problems pertaining to the Duffing equation

被引：0

作者：

Kowalski, Piotr ^{[1
,2
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland

[2] Lodz Univ Technol, Inst Comp Sci, PL-90924 Lodz, Poland

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 59期

关键词：

Dirichlet boundary value problems; nonlinear problems; variational method; Duffing equation; BIFURCATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate existence and continuous dependence on a functional parameter of Duffing's type equation with Dirichlet boundary value conditions. The method applied relies on variational investigation of auxiliary problems and then in order to prove existence, the Banach fixed point theorem is applied. Uniqueness of solutions is also examined.

引用

页码：1 / 15

页数：15

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