Existence of Multiple Positive Periodic Solutions for Second Order Differential Equations

Existence of Multiple Positive Periodic Solutions for Second Order Differential Equations

Year:    2016

Author:    Yue Lü, Peng Sun, Hua Cai, Peishan Han

Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 272–280

Abstract

In this paper, we study the existence of multiple positive periodic solutions for the second order differential equation $$x''(t) + p(t)x' (t) + q(t)x(t) = f(t, x(t)).$$ By using Krasnoselskii fixed point theorem, we establish some criteria for the existence and multiple positive periodic solutions for this differential equation.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2016.03.09

Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 272–280

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    positive periodic solution multiplicity differential equation Krasnoselskii fixed point theorem.

Author Details

Yue Lü

Peng Sun

Hua Cai

Peishan Han