Ismail Yaslan, Positive solutions for multi point impulsive boundary value problems on time scales, Vol. 2019 (2019), Article ID 5, pp. 1-11

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DOI: 10.23952/jnfa.2019.5

Received October 14, 2018; Accepted January 26, 2019; Published February 9, 2019.

 

Abstract. In this paper, we consider nonlinear second-order multi-point impulsive boundary value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions by using the Leray-Schauder fixed point theorem, the Avery-Henderson fixed point theorem and the five functional fixed point theorem, respectively. An example that supports the theoretical results is also provided.

 

How to Cite this Article:
Ismail Yaslan, Positive solutions for multi point impulsive boundary value problems on time scales, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 5, pp. 1-11.