Results 31 to 40 of about 175 (113)

Existence of solutions for differential inclusions on closed moving constraints in Banach spaces

Electronic Journal of Differential Equations, 2009
In this paper, we prove the existence of solutions to a multivalued differential equation with moving constraints. We use a weak compactness type condition expressed in terms of a strong measure of noncompactness.
Adel Mahmoud Gomaa
doaj   +1 more source

Existence of solutions for mixed Volterra-Fredholm integral equations

Electronic Journal of Differential Equations, 2012
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani, Yaghoub Jalilian, Kishin Sadarangani   +2 more
doaj   +2 more sources

Existence theory for nonlinear volterra integral and differential equations

Journal of Inequalities and Applications, 2001
In this paper we prove the existence theorems for the integrodifferential equation where in first part are functions with values in a Banach space and the integral is taken in the sense of Bochner. In second part are weakly–weakly sequentially
Sikorska Aneta
doaj   +1 more source

Solvability of nonlinear integral equations of product type

Electronic Journal of Differential Equations, 2018
This article concerns nonlinear functional integral equations of product type. The first two equations set on a the positive half-axis encompass different classes of nonlinear integral equations and may involve the product of finitely many integral ...
Bilal Boulfoul, Azzeddine Bellour, Smail Djebali   +2 more
doaj   +2 more sources

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
doaj   +1 more source

APPLICATION OF MEASURES OF WEAK NONCOMPACTNESS TO A NONLOCAL DARBOUX PROBLEM

Demonstratio Mathematica, 2009
AbstractIn this paper we study the existence of pseudosolutions of a nonlocal hyperbolic Darboux problem for the ...
Piotr Majcher, Sushil Sharma
openaire   +1 more source

On the Volterra integral equation and axiomatic measures of weak noncompactness [PDF]

Mathematica Bohemica, 2001
Summary: We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.
openaire   +2 more sources

On measure of noncompactness and application to global attractors of operator semigroups

, 2021
Based on the recent development of the theory of measures of noncompactness, we rst show a representation theorem of measures of noncompactness dened on Banach spaces.
Zheng, Zheming, Fang, Quanqing, Cheng, Lixin, Ablet, Ehmet, Chen, Xiaoling   +4 more
core  

Generalized Schechter essential spectrum of the sum of two bounded operators involving measure of non-almost weak noncompactness

Filomat, 2023
In the present paper we introduce a new concept of measuring, called the measure of non-almost weak noncompactness. We use this measure to characterize the almost weakly compact operators and to investigate the generalized Schechter essential spectrum of the sum of two bounded linear operators.
Rabeb Aydi, Bilel Krichen
openaire   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source