TITLE:
Existence of Multiple Positive Solutions for nth Order Two-Point Boundary Value Problems on Time Scales
AUTHORS:
Kapula Rajendra Prasad, Penugurthi Murali, Nadakuduti V. V. S. Suryanarayana
KEYWORDS:
Time Scale; Dynamical Equation; Positive Solution; Cone; Boundary Value Problem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.1,
January
29,
2013
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.