Results 41 to 50 of about 163 (105)
Boundary value problem for an infinite system of second order differential equations in $\ell_p$ spaces [PDF]
Mathematica Bohemica, 2020 The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in $\ell_p$ space.
Ishfaq Ahmad Malik, Tanweer Jalal
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On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations
Abstract and Applied Analysis, 2013 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
İsmet Özdemir +2 more
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, 2018 In this paper, we introduce the notion of generalized coupled fixed points and, as a consequence of Darbo’s fixed point theorem associated to an abstract measure of noncompactness, we present a result about the existence of this class of coupled fixed ...
Darwish, Mohamed Abdalla +1 more
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Existence and stability of solutions for a system of quadratic integral equations in Banach algebras
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle.
Said Baghdad
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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Boundary value problem for nonlinear fractional differential equations of variable order via kuratowski MNC technique [PDF]
, 2021 In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed.
Hakem, Ali +4 more
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An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval.
A. M. A. El-Sayed +2 more
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An Extension of Darbo’s Theorem and Its Application [PDF]
, 2014 Here, some extensions of Darbo fixed point theorem associated with measures of noncompactness are proved. Then, as an application, our attention is focused on the existence of solutions of the integral equation x(t)=F(t,f(t,x(α1(t)), x(α2(t))), ((Tx)(t)/
M. B. Ghaemi, A. Samadi
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan +4 more
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An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations
Advances in Difference Equations, 2020 We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani
Amar Deep +4 more
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