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Existence of Multiple Positive Solutions for <i>n</i><sup>th</sup> Order Two-Point Boundary Value Problems on Time Scales
Department of Applied Mathematics Andhra University, Visakhapatnam, India
Department of Applied Mathematics Andhra University, Visakhapatnam, India
Department of Mathematics, VITAM College of Engineering, Visakhapatnam, India
- 1 Department of Applied Mathematics Andhra University, Visakhapatnam, India
- 2 Department of Applied Mathematics Andhra University, Visakhapatnam, India
- 3 Department of Mathematics, VITAM College of Engineering, Visakhapatnam, India
Advances in Pure Mathematics·Volume 03 (2013)·Pages 70–77·Published 11 January 2013·DOI10.4236/apm.2013.31009
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Abstract
We consider the n t h 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.
KeywordsTime ScaleDynamical EquationPositive SolutionConeBoundary Value Problem
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