WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/394

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Institution Author: search.filters.institutionAuthor.Dogan, AbdulkadirPublisher: search.filters.publisher.Texas State Univ

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Now showing 1 - 5 of 5
  • Article
    Citation - WoS: 2
    Citation - Scopus: 7
    Triple Positive Solutions for M-Point Boundary-Value Problems of Dynamic Equations on Time Scales With P-Laplacian
    (Texas State Univ, 2015) Dogan, Abdulkadir
    In this article we study the existence of positive solutions for m-point dynamic equation on time scales with p-Laplacian. We prove that the boundary-value problem has at least three positive solutions by applying the five functionals fixed-point theorem. An example demonstrates the main results.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 12
    Positive Solutions of the P-Laplacian Dynamic Equations on Time Scales With Sign Changing Nonlinearity
    (Texas State Univ, 2018) Dogan, Abdulkadir
    This article concerns the existence of positive solutions for p-Laplacian boundary value problem on time scales. By applying fixed point index we obtain the existence of solutions. Emphasis is put on the fact that the nonlinear term is allowed to change sign. An example illustrates our results.
  • 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: 1
    Eigenvalue Problems for Singular Multi-Point Dynamic Equations on Time Scales
    (Texas State Univ, 2017) Dogan, Abdulkadir
    In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.