Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales

Abstract

In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem. The results obtained here extend the work of Culakova, Hanustiakova and Olach [12]. Two examples are also given to illustrate this work.

Keywords

• positive solutions
• schauder’s fixed point theorem
• dynamic equations
• time scales
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• 34a34
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• 34l30