Results 11 to 20 of about 488 (166)
Mathematics, 2022 Quadratic integro-differential equations have been discussed in many works, for instance. Some analytic results on the existence and the uniqueness of problem solutions to quadratic integro-differential equations have been investigated in different ...
Ahmed M. A. El-Sayed +2 more
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Open Mathematics, 2015 In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale.
Yantir Ahmet +2 more
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Solvability of an infinite system of integral equations on the real half-axis
Advances in Nonlinear Analysis, 2020 The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis ...
Banaś Józef, Woś Weronika
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Infinite System of Differential Equations in Some Spaces
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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Solvability of fractional dynamic systems utilizing measure of noncompactness
Nonlinear Analysis, 2020 Fractional dynamics is a scope of study in science considering the action of systems. These systems are designated by utilizing derivatives of arbitrary orders.
Hemant Kumar Nashine +3 more
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Nonlinear Analysis, 2022 In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi +3 more
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Local attractivity for integro-differential equations with noncompact semigroups
Nonautonomous Dynamical Systems, 2020 In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we ...
Diop Amadou +3 more
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Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations
Axioms, 2020 In this research article, we introduce a new class of hybrid Langevin equation involving two distinct fractional order derivatives in the Caputo sense and Riemann–Liouville fractional integral. Supported by three-point boundary conditions, we discuss the
Ahmed Salem, Mohammad Alnegga
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A New Variant of Symmetric Distance Spaces and an Extension of the Banach Fixed-Point Theorem
Journal of Mathematics, 2022 The notion of Δ-metric spaces has been proposed in this study as a generalization of b-metric spaces, extended b-metric spaces, and p-metric spaces. A number of topological characteristics of such spaces have been investigated in this paper.
Kushal Roy +3 more
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On the measure of non-compactness of maximal operators
Journal of Function Spaces and Applications, 2004 In one of the previous articles of the author it was proved that if B is a convex quasi-density measurable basis and E is a symmetric space on Rn with respect to the Lebesgue measure, then there do not exist non-orthogonal weights w and v for which the ...
Georgi G. Oniani
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