Existence of an Antisymmetric Solution of a Boundary Value Problem with Antiperiodic Boundary Conditions

Authors

Jeffrey W. Lyons
Jeffrey T. Neugebauer, Eastern Kentucky UniversityFollow

Author ORCID Identifier

Jeffrey Neugebauerhttps://orcid.org/0000-0003-2450-4169

Department

Mathematics and Statistics

Document Type

Article

Publication Date

1-1-2015

Abstract

In this work, an application is made of a recent extension of the Leggett-Williams fixed point theorem, commonly referred to as an Avery type fixed point theorem, to a second order boundary value problem with antiperiodic boundary conditions. Under certain conditions and with the use of concavity, an antisymmetric solution to the boundary value problem is shown to exist. In conclusion, a non-trivial example is provided.

Recommended Citation

Lyons, Jeffrey W. and Neugebauer, Jeffrey T., "Existence of an Antisymmetric Solution of a Boundary Value Problem with Antiperiodic Boundary Conditions" (2015). EKU Faculty and Staff Scholarship. 629.
https://encompass.eku.edu/fs_research/629

Journal Title

Electronic Journal of Qualitative Theory of Differential Equations