Open Access Research

Multiple positive doubly periodic solutions for a singular semipositone telegraph equation with a parameter

Fanglei Wang1* and Yukun An2

Author Affiliations

1 College of Science, Hohai University, Nanjing, 210098, P.R. China

2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China

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Boundary Value Problems 2013, 2013:7  doi:10.1186/1687-2770-2013-7

Published: 16 January 2013

Abstract

In this paper, we study the multiplicity of positive doubly periodic solutions for a singular semipositone telegraph equation. The proof is based on a well-known fixed point theorem in a cone.

MSC: 34B15, 34B18.

Keywords:
semipositone telegraph equation; doubly periodic solution; singular; cone; fixed point theorem