Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/395

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Now showing 1 - 8 of 8
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Triple Positive Solutions of M-Point Boundary Value Problem on Time Scales With P-Laplacian
    (Iranian Mathematical Soc, 2017) Dogan, A.
    In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term f involves a first-order derivative explicitly. Our results are new for the special cases of difference equations and differential equations as well as in the general time scale setting.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Positive Solutions of Nonlinear Multi-Point Boundary Value Problems
    (Springer, 2018-05-17) Dogan, Abdulkadir
    This paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution if f is nonnegative and continuous. Positive solutions of the above boundary value problem satisfy theHarnack inequality inf(0 <= t <= 1) u(t) >= gamma parallel to u parallel to(infinity.)
  • Article
    Citation - WoS: 7
    Citation - Scopus: 9
    On the Existence of Positive Solutions of the P-Laplacian Dynamic Equations on Time Scales
    (Wiley, 2017-01-26) Dogan, Abdulkadir
    In this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As an application, an example is included to demonstrate themain results. Copyright (C) 2017 John Wiley & Sons, Ltd.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    On the Existence of Positive Solutions for the Second-Order Boundary Value Problem
    (Pergamon-Elsevier Science Ltd, 2015-11) Dogan, Abdulkadir
    This paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the Leggett-Williams fixed point theorem, we prove the existence of at least three symmetric positive solutions. (C) 2015 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 10
    Existence of Three Positive Solutions for an M-Point Boundary-Value Problem on Time Scales
    (Texas State Univ, 2013) Dogan, Abdulkadir
    We study an m-point boundary-value problem on times scales. By using a fixed point theorem, we prove the existence of at least three positive solutions, under suitable growth conditions imposed on the nonlinear term. An example is given to illustrate our results.
  • Article
    Citation - Scopus: 3
    Existence of Positive Solutions for P-Laplacian an M-Point Boundary Value Problem Involving the Derivative on Time Scales
    (Texas State Univ, 2014) Dogan, Abdulkadir
    We are interested in the existence of positive solutions for the p-Laplacian dynamic equation on time scales (phi(P)(u(Delta)(t)))(V) a(t)f (t, u Delta(t), (t)) = 0, t is an element of (0,T)(T), subject to the multipoint boundary condition, u(0) = Sigma(m-2)(i=1) alpha iu, (xi(i)) = u Delta(T) = 0, where phi(p)(S) = vertical bar s vertical bar p(-2) s, p > 1, xi i is an element of [0, T](T,) 0 < xi 1 < xi 2 < . . . < xi m-2 < p(T). By using fixed point theorems, we prove the existence of at least three nonnegatvie solutions, two of them positive, to the above boundary value problem. The interesting point is the nonlinear term f is involved with the first order derivative explicitly. An example is given to illustrate the main result.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 10
    Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales
    (Natural Sciences Publishing Corp-nsp, 2014-09-01) Dogan, Abdulkadir
    In 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.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Eigenvalue Problems for Nonlinear Third-Order M-Point P-Laplacian Dynamic Equations on Time Scales
    (Wiley, 2014-08-18) Dogan, Abdulkadir
    This work deals with the existence and uniqueness of a nontrivial solution for the third-order p-Laplacian m-point eigenvalue problems on time scales. We find several sufficient conditions of the existence and uniqueness of nontrivial solution of eigenvalue problems when lambda is in some interval. The proofs are based on the nonlinear alternative of Leray-Schauder. To illustrate the results, some examples are included. Copyright (C) 2014 John Wiley & Sons, Ltd.