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Öğe Eigenvalues for iterative systems of nonlinear m-point boundary value problems on time scales(Springer International Publishing Ag, 2014) Karaca, Ilkay Y.; Tokmak, FatmaIn this paper, we determine the eigenvalue intervals of the parameters lambda(1), lambda(2), ..., lambda(n) for which there exist positive solutions of the iterative systems of m-point boundary value problems on time scales. The method involves an application of Guo-Krasnosel'skii fixed point theorem. We give an example to demonstrate our main results.Öğe Existence of positive solutions for boundary value problems of p-Laplacian difference equations(Springeropen, 2014) Fen, Fatma T.; Karaca, Ilkay Y.In this paper, by using the Avery-Peterson fixed point theorem, we investigate the existence of at least three positive solutions for a third order p-Laplacian difference equation. An example is given to illustrate our main results.Öğe Existence of positive solutions for p-Laplacian impulsive boundary value problems on time scales(Springer International Publishing Ag, 2014) Tokmak, Fatma; Karaca, Ilkay Y.In this paper, by using fixed point index theory and a double fixed point theorem, we study the existence of many positive solutions for a class of second-order p-Laplacian boundary value problems with impulse on time scales. An example which supports our theoretical results is also indicated.Öğe Existence of positive solutions for third-order boundary value problems with integral boundary conditions on time scales(Springeropen, 2013) Karaca, Ilkay Y.; Tokmak, FatmaIn this paper, four functionals fixed point theorem is used to verify the existence of at least one positive solution for third-order boundary value problems with integral boundary conditions for an increasing homeomorphism and homomorphism on time scales. We also provide an example to demonstrate our results.Öğe Existence of three symmetric positive solutions for a second-order multi-point boundary value problem on time scales(Springer International Publishing Ag, 2014) Sinanoglu, Aycan; Karaca, Ilkay Y.; Tokmak, Fatma; Senlik, TugbaIn this article, we investigate the existence of at least three symmetric positive solutions of a second-order multi-point boundary value problem on time scales. The ideas involve Bai and Ge's fixed point theorem. As an application, we give an example to demonstrate our main result.Öğe Existence results for p-Laplacian boundary value problems of impulsive dynamic equations on time scales(Springer International Publishing Ag, 2013) Ozen, Ozlem B.; Karaca, Ilkay Y.; Tokmak, FatmaIn this paper, Bai-Ge's fixed point theorem is used to investigate the existence of positive solutions for second-order boundary value problems of p-Laplacian impulsive dynamic equations on time scales. As an application, we give an example to demonstrate our results.
