On the solutions of a class of nonlinear functional integral equations in space C [0,a]

Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue

Abstract

The principal aim of this paper is to give sufficient conditions for solvability of a class of some nonlinear functional integral equations in the space of continuous functions defined on interval [0, a]. The main tool used in our study is associated with the technique of measures of noncompactness. We give also some examples satisfying the conditions of our main theorem but not satisfying the conditions in [8].

Authors and Affiliations

İsmet Özdemir, Ümit Çakan

Keywords

Related Articles

On the zeros of an analytic function

Kuniyeda, Montel and Toya had shown that the polynomial p(z) = [formula]; a_0 ≠ 0, of degree n, does not vanish in [formula], where p > 1, q > 1, (1/p) + (1/q) = 1 and we had proved that p(z) does not vanish in [formula]...

The random of lacunary statistical on χ2 over p-metric spaces defined by Musielak

Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. Recently Mohiuddine and Aiyup defined the notion of lacunary statistical convergence and lacunary statistical Cauchy in random 2-nor...

Approximation by Szász Type Operators Including Sheffer Polynomials

In present article, we discuss voronowskaya type theorem, weighted approximation in terms of weighted modulus of continuity for Szász type operators using Sheffer polynomials. Lastly, we investigate statistical approxima...

On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind

In this paper, we concern by a very general cubic integral equation and we prove that this equation has a solution in C[0,1]. We apply the measure of noncompactness introduced by Banaś and Olszowy and Darbo's fixed point...

Certain subordination results on the convolution of analytic functions

In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions f_i s...

Download PDF file
  • EP ID EP342616
  • DOI 10.7862/rf.2015.9
  • Views 70
  • Downloads 0

How To Cite

İsmet Özdemir, Ümit Çakan (2015). On the solutions of a class of nonlinear functional integral equations in space C [0,a]. Journal of Mathematics and Applications, 38(), 105-114. https://europub.co.uk/articles/-A-342616