APM  Vol.3 No.1 , January 2013
Existence of Multiple Positive Solutions for nth Order Two-Point Boundary Value Problems on Time Scales
Abstract: We consider the nth order nonlinear differential equation on time scales

subject to the right focal type two-point boundary conditions

We establish a criterion for the existence of at least one positive solution by utilizing Krasnosel’skii fixed point theorem. And then, we establish the existence of at least three positive solutions by utilizing Leggett-Williams fixed point theorem.

Cite this paper: K. Prasad, P. Murali and N. Suryanarayana, "Existence of Multiple Positive Solutions for nth Order Two-Point Boundary Value Problems on Time Scales," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 70-77. doi: 10.4236/apm.2013.31009.

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