Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2012; 49(1): 153-164

Printed January 1, 2012

https://doi.org/10.4134/JKMS.2012.49.1.153

Copyright © The Korean Mathematical Society.

Positive solutions for a class of telegraph system with multiparameters

Fanglei Wang and Yukun An

Hohai University, Nanjing University of Aeronautics and Astronautics

Abstract

In this paper, we study the existence, non-existence, and multiplicity of positive solutions for a coupled telegraph system using the fixed-point theorem of cone expansion/compression type, the upper-lower solutions method, and fixed point index theory.

Keywords: telegraph system, doubly periodic solution, upper and lower solutions, fixed point theorem, cone

MSC numbers: 35B09, 35G60