Yazar "Ilhan, Bekir" seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim Yok
    Öğe
    EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME NONLINEAR INTEGRAL EQUATIONS ON AN UNBOUNDED INTERVAL
    (Texas State Univ, 2016) Ilhan, Bekir; Ozdemir, Ismet
    The goal in this paper is to prove an existence theorem for the solutions of a class of functional integral equations which contain a number of classical nonlinear integral equations as special cases. Our investigations will be carried out in the space of continuous and bounded functions on an unbounded interval. The main tools are some techniques in analysis and the Schauder fixed point theorem via measures of noncompactness. Our results extend and improve some known results in the recent literature. Three nontrivial examples explain the generalizations and applications of our results.
  • Küçük Resim Yok
    Öğe
    On the Existence and Uniform Attractivity of the Solutions of a Class of Nonlinear Integral Equations on Unbounded Interval
    (Mathematical Soc Rep China, 2017) Ozdemir, Ismet; Ilhan, Bekir
    . In this paper, we prove the existence and uniform attractivity of the solutions of a class of functional integral equations which contain a number of classical nonlinear integral equations as special cases. Our investigations will be carried out in the space of continuous and bounded functions on an unbounded interval. The main tools here are the measure of noncompactness and the suitable fixed point theorem. We introduce also some examples and remarks showing the di ff erence between our main result and some previous results.
  • Küçük Resim Yok
    Öğe
    On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations
    (Hindawi Publishing Corporation, 2013) Ozdemir, Ismet; Cakan, Umit; Ilhan, Bekir
    We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval [0, a]. To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompactness. We give also an example satisfying the conditions of our main theorem but not satisfying the conditions described by Maleknejad et al. (2009).