Multiple positive solutions for the system of higher order two-point boundary value problems on time scales

K. R. Prasad, Andhra University, Visakhapatnam, India
P. Murali, Andhra University, Visakhapatnam, India
N. V. V. S. Suryanarayana, VITAM College of Engineering, Visakhapatnam, India

E. J. Qualitative Theory of Diff. Equ., No. 32. (2009), pp. 1-13.

Communicated by P. Eloe.Received on 2009-03-14
Appeared on 2009-05-15

Abstract: In this paper, we establish the existence of at least three positive solutions for the system of higher order boundary value problems on time scales by using the well-known Leggett-Williams fixed point theorem. And then, we prove the existence of at least 2k-1 positive solutions for arbitrary positive integer k.


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