Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/45
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Browsing Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences by Subject "eigenvalue problem"
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Article Eigenvalue problems for nonlinear third-order m-point p-Laplacian dynamic equations on time scales(WILEY111 RIVER ST, HOBOKEN 07030-5774, NJ, 2016) Dogan, Abdulkadir; 0000-0002-7532-1920; AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü; 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.