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Article Citation - WoS: 29Citation - Scopus: 30Boundary Value Problems for Second Order Nonlinear Differential Equations on Infinite Intervals(Academic Press inc Elsevier Science, 2004) Guseinov, GS; Yaslan, IIn this paper, we consider boundary value problems for nonlinear differential equations on the semi-axis (0, infinity) and also on the whole axis (-infinity, infinity), under the assumption that the left-hand side being a second order linear differential expression belongs to the Weyl limit-circle case. The boundary value problems are considered in the Hilbert spaces L-2(0, infinity) and L-2(-infinity, infinity), and include boundary conditions at infinity. The existence and uniqueness results for solutions of the considered boundary value problems are established. (C) 2003 Elsevier Inc. All rights reserved.Article Citation - WoS: 2Citation - Scopus: 2Existence of Solutions To Second-Order Nonlinear Discrete Elliptic Equations(Taylor & Francis Ltd, 2009) Guseinov, Gusein Sh.In this paper, we consider a boundary value problem (BVP) for second-order nonlinear partial difference equations on finite lattice domains. Some conditions are established that ensure existence and uniqueness of solutions to the BVP under consideration.Article Citation - WoS: 1Citation - Scopus: 1On a system of second-order multi-point boundary value problems on time scales(Tbilisi Centre Math Sci, 2021) Oguz, Arzu Denk; Topal, S. GulsanThis paper is concerned with the existence and nonexistence of positive solutions for a system of nonlinear second order dynamic equations with multi-point boundary conditions on time scales.Article Citation - WoS: 6Citation - Scopus: 6A Boundary Value Problem for Second Order Nonlinear Difference Equations on the Semi-Infinite Interval(Taylor & Francis Ltd, 2002) Guseinov, GSIn this paper, we consider a boundary value problem (BVP) for nonlinear difference equations on the discrete semi-axis in which the left-hand side being a second order linear difference expression belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l(2) and is formed via boundary conditions at a starting point and at infinity. Existence and uniqueness results for solutions of the considered BVP are established.Article Citation - WoS: 34Citation - Scopus: 46Fixed Point Results on -Symmetric Quasi-Metric Space Via Simulation Function With an Application To Ulam Stability(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn this paper, in the setting of D - symmetric quasi- metric spaces, the existence and uniqueness of a fixed point of certain operators are scrutinized carefully by using simulation functions. The most interesting side of such operators is that they do not form a contraction. As an application, in the same framework, the Ulam stability of such operators is investigated. We also propose some examples to illustrate our results.Article Citation - WoS: 4Citation - Scopus: 6A Note on A Rational Form Contractions With Discontinuities at Fixed Points(House Book Science-casa Cartii Stiinta, 2020) Karapinar, E.In this paper, we investigate one of the classical problems of the metric fixed point theory: Whether there is a contraction condition which does not force the mapping to be continuous at the fixed point. We propose a contraction conditions in rational form that has a unique fixed point but not necessarily continuous at the given fixed point.Article Citation - WoS: 10Citation - Scopus: 13Some Fixed Point Theorems in Locally p-convex Spaces(Springer international Publishing Ag, 2013) Gholizadeh, Leila; Karapinar, Erdal; Roohi, MehdiIn this paper we investigate the existence of a fixed point of multivalued maps on almost p-convex and p-convex subsets of topological vector spaces. Our results extend and generalize some fixed point theorems on the topic in the literature, such as the results of Himmelberg, Fan and Glicksberg.
