Positive solutions for even-order multi-point boundary value problems on time scales


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	Positive solutions for even-order multi-point boundary value problems on time scales


	Fixed Point Theory, Volume 18, No. 2, 2017, 579-590, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.46 Authors: Mustafa Günendi and İsmail Yaslan Abstract: In this paper, we consider the nonlinear even-order m-point boundary value problems on time scales. We establish the criteria for the existence of at least one and three positive solutions for higher order nonlinear m-point boundary value problems on time scales by using Krasnosel'skii's fixed point theorem and Leggett-Williams' fixed point theorem, respectively. Key Words and Phrases: Boundary value problems, cone, fixed point theorems, positive solutions, time scales. 2010 Mathematics Subject Classification: 34B18, 34N05, 39A10, 47H10. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents