The Australian Journal of Mathematical Analysis and Applications


Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  

 

Paper Information

Paper Title:

Positive Periodic Solutions for Second-Order Differential Equations with Generalized Neutral Operator

Author(s):

Wing-Sum Cheung, Jingli Ren and Weiwei Han

Department of Mathematics,
The University of Hong Kong
 Pokfulam Road,
Hong Kong

Department of Mathematics, Zhengzhou University
Zhengzhou 450001,
P.R. China

wscheung@hkucc.hku.hk
renjl@zzu.edu.cn

Abstract:

By some analysis of the neutral operator and an application of the fixed-point index theorem, we obtain sufficient conditions for the existence, multiplicity and nonexistence of periodic solutions to a second-order differential equation with the prescribed neutral operator, which improve and extend some recent results of Lu-Ge, Wu-Wang, and Zhang. An example is given to illustrate our results. Moreover, the analysis of the generalized neutral operator will be helpful for other types of differential equations.

 

Full Text PDF:


2004-2021 Austral Internet Publishing