Results 81 to 90 of about 1,488 (168)

Some Properties of Measures of Noncompactness in Paranormed Spaces [PDF]

Proceedings of the American Mathematical Society, 1988
This paper presents new properties of important measures of noncompactness in paranormed spaces. Using these properties some fixed point theorems for multivalued mappings in general topological vector spaces are obtained in a straightforward way.
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An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions

Abstract and Applied Analysis, 2011
We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures
Fang Li, Gaston M. N'Guérékata
doaj   +1 more source

Asymptotic behavior of solutions to functional integral equation with deviating arguments

Electronic Journal of Differential Equations, 2008
This article presents results on the existence and asymptotic behavior of solutions of a functional integral equation with deviating arguments. The proof of our main result uses the classical Schauder fixed point theorem and the technique of measures
Krishnan Balachandran, M. Diana Julie
doaj  

Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative.
Maamar Benbachir, Abdelatif Boutiara
doaj  

Existence of solutions for infinite systems of differential equations in spaces of tempered sequences

Electronic Journal of Differential Equations, 2017
The aim of this article is to study the existence of solutions for infinite systems of differential equations. We look for solutions in Banach tempered sequence spaces, using techniques associated with measures of noncompactness, and results from ...
Jozef Banas, Monika Krajewska
doaj  

Existence and asymptotic stability of continuous solutions for integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
doaj  

Existence of weak solutions for a boundary value problem of a second order ordinary differential equation

Boundary Value Problems, 2018
The aim of this paper is to investigate the existence of weak solutions for a boundary value problem of a second order differential equation. As the main tool, we apply a Krasnosel’skii type fixed point theorem in conjunction with the technique of ...
Shiyou Weng, Fuli Wang
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Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem

Journal of Function Spaces, 2014
Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation.
Agnieszka Chlebowicz, Mohamed Abdalla Darwish, Kishin Sadarangani   +2 more
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Measures of noncompactness and their applications

, 2021
The measures of noncompactness are very useful tools in the theory of operatorequations in Banach spaces. In particular, the fixed point theorems derived fromthem have many important results. In this study, we state a general information onmeasures of noncompactness and fixed point theory. In addition, applications fromvarious topics are presented.
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Topological Langmuir-cyclotron wave. [PDF]

Sci Adv, 2023
Qin H, Fu Y.
europepmc   +1 more source