Yazar "Gencturk, Ilker" seçeneğine göre listele

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    A Robin boundary value problem for the Cauchy-Riemann operator in a ring domain
    (Walter De Gruyter Gmbh, 2022) Gencturk, Ilker; Linares, Yankis R.
    In this paper, we study a Robin condition for the inhomogeneous Cauchy-Riemann equation w(z) = f in a ring domain R, by reformulating it as a Dirichlet boundary condition.
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    Boundary value problems for a second-order (p, q)-difference equation with integral conditions
    (Tubitak Scientific & Technological Research Council Turkey, 2022) Gencturk, Ilker
    Our purpose in this paper is to obtain some new existence results of solutions for a boundary value problem for a (p, q)-difference equations with integral conditions, by using fixed point theorems. Examples illustrating the main results are also presented.
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    Neumann boundary value problem for Bitsadze equation in a ring domain
    (Springernature, 2020) Gencturk, Ilker; Koca, Kerim
    In this article, we investigate Neumann boundary value problem for Bitsadze equation in a ring domain by using same problem for the first order partial differential equations.
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    Presic-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations
    (Vilnius Univ, Inst Mathematics & Informatics, 2023) Altun, Ishak; Gencturk, Ilker; Erduran, Ali
    In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point theorems for Presic-type mappings in quasimetric spaces. Finally, we state a theorem for the existence and uniqueness of the solution to a boundary value problem for (p, q)-difference equations to demonstrate the applicability of our theoretical results, which we support with an example.
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    RAKOTCH TYPE EXTENSION OF DARBO'S FIXED POINT THEOREM AND AN APPLICATION
    (Univ Politehnica Bucharest, Sci Bull, 2024) Gencturk, Ilker; Erduran, Ali; Altun, Ishak
    In this paper, we present a new extension of Darbo's fixed point theorem inspired by Rakotch's contraction. We also provide the alternative version of Leray-Schauder type of our new result. In order to demonstrate the applicability of our theoretical result, we present an existence theorem based on a functional equation. Finally, we provide an illustration of our existence theorem.
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    THE COMPLEX LINE (p, q)-INTEGRAL AND (p, q)-GREEN'S FORMULA
    (Ivane Javakhishvili Tbilisi State Univ, 2023) Gencturk, Ilker; Koca, Kerim
    In this study, we present the complex line (p, q)-integral and multiple (p, q)-integral by using the concept of (p, q)-calculus. The (p, q)-Green's formula and the (p, q)-Gauss formulas are obtained with appropriate conditions in a complex plane.
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    The Dirichlet-Neumann Boundary Value Problem for the Inhomogeneous Bitsadze Equation in a Ring Domain
    (Chiang Mai Univ, Fac Science, 2021) Gencturk, Ilker
    In this study, by using some integral representations formulas, we study solvability conditions and explicit solution of the Dirichlet-Neumann problem, an example for a combined boundary value problem, for the Bitsadze equation in a ring domain.