Classification of Positive Solutions of Nonlinear Systems of Volterra Integro-Dynamic Equations on Time Scales

Abstract

We give asymptotic classification for the positive solutions of a class of two-dimensional nonlinear Volterra integro-dynamic equations on time scales. Also, by means of Schauder's fixed point theorem, we furnish, in some cases, necessary and sufficient conditions for the existence of such positive solutions. Hence, we generalize and improve the existing results for systems of Volterra nonlinear integro differential and integro difference equations. © Dynamic Publishers, Inc.