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

Journal Title: Journal of Mathematics and Applications - Year 2018, Vol 41, Issue

Abstract

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 theorem to establish the proof of our main result.

Authors and Affiliations

Hamed Kamal Awad, Mohamed Abdalla Darwish, Mohamed M. A. Metwali

Keywords

Related Articles

Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

In the present paper we introduced some seminormed difference sequence spaces combining lacunary sequences and Musielak-Orlicz function M = (M_k) over n-normed spaces and examine some topological properties and inclusion...

On a class of meromorphic functions defined by the convolution

In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and...

De la Vallée Poussin Summability, the Combinatorial Sum ∑_(k=n)^(2n-1) (2k¦k) and the de la Vallée Poussin Means Expansion

In this paper we apply the de la Vallée Poussin sum to a combinatorial Chebyshev sum by Ziad S. Ali in [1]. One outcome of this consideration is the main lemma proving the following combinatorial identity: with Re(z) sta...

On the Exponential Stability of a Neutral Differential Equation of First Order

In this work, we establish some assumptions that guaranteeing the global exponential stability (GES) of the zero solution of a neutral differential equation (NDE). We aim to extend and improves some results found in the...

On Some Qualitative Properties of Integrable Solutions for Cauchy-type Problem of Fractional Order

The paper discusses the existence of solutions for Cauchy-type problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as...

Download PDF file
  • EP ID EP426896
  • DOI 10.7862/rf.2018.3
  • Views 80
  • Downloads 0

How To Cite

Hamed Kamal Awad, Mohamed Abdalla Darwish, Mohamed M. A. Metwali (2018). On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind. Journal of Mathematics and Applications, 41(), 29-38. https://europub.co.uk./articles/-A-426896