Profile URL: https://hdl.handle.net/20.500.14411/7671
Job Title:Öğretim Görevlisi
Main Affiliation: Mathematics
Status: Former Staff
Name Variants:
Y., Ahmet A.,Yantir Ahmet, Yantır Yantır,A. Y.,Ahmet Ahmet, Yantir A., Yantir Yantır, Ahmet Yantir, Ahmet A.,Yantır Yantir,A.
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Article Citation - Scopus: 12Existence of Solutions of the Dynamic Cauchy Problem in Banach Spaces(Warsaw University, 2012-09-01) Cichon,M.; Kubiaczyk,I.; Sikorska-Nowak,A.; Yantir,A.In this paper we obtain the existence of solutions and Carathéodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales xδ(t) = f(t, x(t)), x(0) = x0, t 2 Ia, where f is continuous or f satisfies Carathéodory conditions and some conditions expressed in terms of measures of noncompactness. The Mönch fixed point theorem is used to prove the main result, which extends these obtained for real valued functions.Article Citation - WoS: 18Citation - Scopus: 20Weak Solutions for the Dynamic Cauchy Problem in Banach Spaces(Pergamon-elsevier Science Ltd, 2009-10) Cichon, Mieczyslaw; Kubiaczyk, Ireneusz; Sikorska-Nowak, Aneta; Yantir, AhmetThis paper is devoted to unify and extend the results of the existence of the weak solutions of continuous and discrete Cauchy problem in Banach spaces. We offer the existence of the weak solution of dynamic Cauchy problem on an infinite time scale. The measure of weak noncompactness and the fixed point theorem of Kubiaczyk are used to prove the main result. (C) 2009 Elsevier Ltd. All rights reserved.Article Citation - WoS: 4Citation - Scopus: 4Existence of Positive Solutions of a Sturm-Liouville Bvp on an Unbounded Time Scale(Taylor & Francis Ltd, 2008-03) Topal, S. Gulsan; Yantir, Ahmet; Cetin, ErbilA fixed point theorem of Guo-Krasnoselskii type is used to establish existence results for the nonlinear Sturm-Liouville dynamic equation (p(t)x(Delta))(del) + lambda phi(t)f(t,x(t)) = 0 with the boundary conditions on an unbounded time scale. Later on the positivity and the boundedness of the solutions are obtained by imposing some conditions on f.Article Citation - Scopus: 6Positive Solutions of a Second Order M-Point Bvp on Time Scales(2009) Topal,S.G.; Yantir,A.In this study, we are concerned with proving the existence of multiple positive solutions of a general second order nonlinear m-point boundary value problem (m-PBVP) uΔ∇(t) + a(t)uΔ(t) + b(t)u(t) + λh(t)f(t, u) = 0,t∈ [0,1], u(p(0))=0, u(σ(1)) Σm-2,i=1 α iu(ni),on time scales. The proofs are based on the fixed point theorems in a Banach space. We present an example to illustrate how our results work. © 2009 InforMath Publishing Group.