Measure of Noncompactness and Neutral Functional Differential Equations with State-Dependent Delay
Journal Title: Journal of Mathematics and Applications - Year 2016, Vol 39, Issue
Abstract
Our aim in this work is to study the existence of solutions of first and second order for neutral functional differential equations with state-dependent delay. We use the Mönch's fixed point theorem for the existence of solutions and the concept of measures of noncompactness.
Authors and Affiliations
Mouffak Benchohra, Johnny Henderson, Imene Medjadj
Keywords
Related Articles
- EP ID EP342531
- DOI 10.7862/rf.2016.2
- Views 84
- Downloads 0
Starlikeness and convexity of certain integral operators defined by convolution
We define two new general integral operators for certain analytic functions in the unit disc U and give some sufficient conditions for these integral operators on some subclasses of analytic functions.
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...
Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations
In the present paper we provide some existence results and Ulam's type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompac...
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...