Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/395
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Article Citation - WoS: 7Citation - Scopus: 9On the Existence of Positive Solutions of the P-Laplacian Dynamic Equations on Time Scales(Wiley, 2017-01-26) Dogan, AbdulkadirIn this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As an application, an example is included to demonstrate themain results. Copyright (C) 2017 John Wiley & Sons, Ltd.Article Citation - WoS: 4Citation - Scopus: 5On the Existence of Positive Solutions for the Second-Order Boundary Value Problem(Pergamon-Elsevier Science Ltd, 2015-11) Dogan, AbdulkadirThis paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the Leggett-Williams fixed point theorem, we prove the existence of at least three symmetric positive solutions. (C) 2015 Elsevier Ltd. All rights reserved.Article Citation - WoS: 4Citation - Scopus: 4Eigenvalue Problems for Nonlinear Third-Order M-Point P-Laplacian Dynamic Equations on Time Scales(Wiley, 2014-08-18) Dogan, AbdulkadirThis work deals with the existence and uniqueness of a nontrivial solution for the third-order p-Laplacian m-point eigenvalue problems on time scales. We find several sufficient conditions of the existence and uniqueness of nontrivial solution of eigenvalue problems when lambda is in some interval. The proofs are based on the nonlinear alternative of Leray-Schauder. To illustrate the results, some examples are included. Copyright (C) 2014 John Wiley & Sons, Ltd.