Upper and Lower Solution Methods for Fully Nonlinear Boundary Value Problems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Upper and Lower Solution Methods for Fully Nonlinear Boundary Value Problems

Authors:	Jeffrey EhmePaul W Eloe Johnny Henderson

Institution:	^a Department of Mathematics, Spelman College, Atlanta, Georgia, 30314, f1E-mail: jehme@spelman.eduf1 ^b Department of Mathematics, University of Dayton, Dayton, Ohio, 45469-2316, f2E-mail: Paul.Eloe@notes.udayton.eduf2 ^c Department of Mathematics, Auburn University, Auburn, Alabama, 36849-5310, f3E-mail: hendej2@mail.auburn.eduf3

Abstract:	Sufficient conditions are given for the existence of a solution of a fourth order nonlinear boundary value problem with nonlinear boundary conditions. The conditions assume the existence of a strong upper solution-lower solution pair, a concept that is defined in the paper. The differential equation has nonlinear dependence on all lower order derivatives of the unknown; in particular, appropriate Nagumo conditions are obtained and employed.

Keywords:	nonlinear boundary value problems Nagumo condition upper and lower solution
本文献已被 ScienceDirect 等数据库收录！