ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR EIGENVALUE PROBLEMS ON TIME SCALES

Yan Sun, Jizhou Zhang, Jong Kyu Kim

Abstract


In this paper, we consider the existence of positive solutions for eigenvalue problems on Time Scales. By applying fixed point index theorems for operators on a cone, the existence criteria is developed for positive solutions of boundary value problem. Our results improve and extend many recent results.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)