Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/395
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Article Citation - WoS: 4Citation - Scopus: 5The Existence of Positive Solutions for a Semipositone Second-Order M-Point Boundary Value Problem(Dynamic Publishers, inc, 2015) Dogan, AbdulkadirIn this paper, we study the existence of positive solutions to boundary value problem {u '' + lambda f(t,u)=0, t is an element of(0,1); u(0)=Sigma(m-2)(i-1) alpha (i)u(xi(i)), u'(1) = Sigma (m-2)(i=1) beta(i) u'(xi(i)), where xi(i) is an element of(0, 1), 0 < xi(1) < xi(2) < ... < xi(m-2) < 1, alpha(i), beta(i) is an element of[0,infinity), lambda is positive parameter. By using Krasnoserskii's fixed point theorem, we provide sufficient conditions for the existence of at least one positive solution to the above boundary value problem.Article Citation - WoS: 17Citation - Scopus: 13Existence of Multiple Positive Solutions for P-Laplacian Multipoint Boundary Value Problems on Time Scales(Springeropen, 2013-08-07) Dogan, AbdulkadirIn this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive solutions. Moreover, we study existence of positive solutions of a multipoint boundary value problem for an increasing homeomorphism and homomorphism on time scales. By using fixed point index theory, sufficient conditions for the existence of at least two positive solutions are provided. Examples are given to illustrate the results. MSC: 34B15, 34B16, 34B18, 39A10.Article Citation - WoS: 1Citation - Scopus: 10Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales(Natural Sciences Publishing Corp-nsp, 2014-09-01) Dogan, AbdulkadirIn this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixed-point index theory and a new fixed-point theorem in cones, the sufficient conditions for the existence of countably many positive solutions are established.