Scopus İndeksli Yayınlar Koleksiyonu

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

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Scopus Q: search.filters.scopusQuartile.Q3Subject: search.filters.subject.Fixed Point Theorem

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  • 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: 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.