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Theory and Modern Applications

Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales

Abstract

We are concerned with proving the existence of one or more than one positive solution of an n-point right-focal boundary value problem for the nonlinear dynamic equation . We will also obtain criteria which lead to nonexistence of positive solutions. Here the independent variable t is in a time scale. We will use fixed point theorems for operators on a Banach space.

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Correspondence to Ilkay Yaslan Karaca.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Karaca, I.Y. Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales. Adv Differ Equ 2006, 043039 (2006). https://doi.org/10.1155/ADE/2006/43039

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  • DOI: https://doi.org/10.1155/ADE/2006/43039

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