Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/45
Browse
Browsing Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences by Author "0000-0002-7532-1920"
Now showing 1 - 5 of 5
- Results Per Page
- Sort Options
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.Article Existence of positive solutions to multi-point third order problems with sign changing nonlinearities(UNIV TARTU PRESS, 1 W STRUVE ST, TARTU, 50091, ESTONIA, 2020) Dogan, Abdulkadir; Graef, John R; 0000-0002-7532-1920; 0000-0002-8149-4633; AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği BölümüIn this paper, the authors examine the existence of positive solutions to a third-order boundary value problem having a sign changing nonlinearity. The proof makes use of fixed point index theory. An example is included to illustrate the applicability of the results.Article On the existence of positive solutions of the p-Laplacian dynamic equations on time scales(WILEY, 2017) DOĞAN, Abdülkadir; 0000-0002-7532-1920; AGÜ; DOĞAN, AbdülkadirIn 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.Article On the existence of positive solutions of the p-Laplacian dynamic equations on time scales(WILEY111 RIVER ST, HOBOKEN 07030-5774, NJ, 2017) Dogan, Abdulkadir; 0000-0002-7532-1920; AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği BölümüIn 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 Positive solutions of nonlinear multi-point boundary value problems(SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2018) Dogan, Abdulkadir; 0000-0002-7532-1920; AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği BölümüThis paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution if f is nonnegative and continuous. Positive solutions of the above boundary value problem satisfy theHarnack inequality inf(0 <= t <= 1) u(t) >= gamma parallel to u parallel to(infinity.)