Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems

Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems This paper is devoted to the study of the existence of single and multiple positive solutions for the first order boundary value problem x′ = f(t, x), x(0) = x(T), where f ∈ C([0, T] × R) . In addition, we apply our existence theorems to a class of nonlinear periodic boundary value problems with a singularity at the origin. Our proofs are based on a fixed point theorem in cones. Our results improve some recent results in the literatures. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems

Loading next page...
 
/lp/springer-journals/existence-of-single-and-multiple-solutions-for-first-order-periodic-WvrnQC1rAP
Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-007-0371-6
Publisher site
See Article on Publisher Site

Abstract

This paper is devoted to the study of the existence of single and multiple positive solutions for the first order boundary value problem x′ = f(t, x), x(0) = x(T), where f ∈ C([0, T] × R) . In addition, we apply our existence theorems to a class of nonlinear periodic boundary value problems with a singularity at the origin. Our proofs are based on a fixed point theorem in cones. Our results improve some recent results in the literatures.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2007

References