On the solvability of nonlinear Sturm-Liouville problems

被引：15

作者：

Rodriguez, Jesus ^{[1
]}

Abernathy, Zachary ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期

关键词：

Boundary value problems; Schauder Fixed Point Theorem; Global Inverse Function Theorem; Sturm-Liouville; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2011.08.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The focus of this paper is the study of nonlinear differential equations subject to general non-local boundary conditions. To establish sufficient conditions for the existence of solutions, we use properties of the nonlinearities and their relationship with the eigenvalues of an associated linear Sturm-Liouville problem. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：310 / 319

页数：10

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