Results 71 to 80 of about 194,262,804 (90)

On interpolation of the measure of noncompactness [PDF]

open access: yes, 2006
We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method.
Luz M. Fernández-cabrera   +5 more
core  

SOME RESULTS ON $\gamma$-$\varepsilon$-CONDITION PSEUDOSPECTRUM

open access: yes
In this paper, we define a new part of spectrum called the essential $\overline{\gamma}$-pseudospectrum  of a linear operator via the measure of noncompactness of Kuratowski $\overline{\gamma}$. Our aim is to characterize the essential $\overline{\gamma}$
Krichen, Bilel, Beghdadi, Mahamed
core   +1 more source

EXISTENCE RESULT FOR A COUPLED SYSTEM OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS IN A BANACH ALGEBRA [PDF]

open access: yes
In this work, we investigate the existence result for a coupled system of hybrid fractional differential equations in a Banach algebra. Our main result is based on a generalization of Darbo’s fixed point theorem in Banach algebra.
Srivastava, Hari Mohan, Hedia, Benaouda
core   +2 more sources

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

open access: yes, 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   +4 more
core  

A Kneser theorem for ordinary differential equations in Banach spaces [PDF]

open access: yes, 2010
We show that the set of solutions of the initial-value problemu(τ)=a,   u\u27(t) = g(t,u(t)) + k(t,u(t)),   τ≤t≤T,in a Banach space is compact and connected, whenever g and k are bounded and continuous functions such that g is one ...
Mitschele, Marc
core   +1 more source

S-essential spectra and measure of noncompactness

open access: yes, 2017
In the present paper we give some results concerning the S-essential spectra of linear bounded operators on a Banach space using the notion of a measure of noncompactness.
Chafika Belabbaci   +2 more
core   +1 more source

Investigation of the generalized proportional langevin and sturm-liouville fractional differential equations via variable coefficients and antiperiodic boundary conditions with a Control Theory Application Arising from Complex Networks

open access: yes, 2022
This article studies the existence theory of an innovation type of generalized proportional fractional differential equations with the assistance of the technique of Kuratowski measure on noncompactness combined with the fixed-point theorem of Monch ...
Kaabar, Mohammed K. A.   +4 more
core  

Boundary value problems for fractional differential equations

open access: yes, 2012
This paper is concerned with the existence of solutions of nonlinear fractional differential inclusions with boundary conditions in a Banach space. The main result is obtained by using the set-valued analog of Mönch fixed point theorem combined with the ...
Djamila Seba   +2 more
core  

Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays

open access: yes, 2020
Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space ...
Yejuan Wang, Xiaoli Liu
core  

A Study of p-Laplacian Nonlocal Boundary Value Problem Involving Generalized Fractional Derivatives in Banach Spaces

open access: yes
The aim of this article is to introduce and study a new class of fractional integro nonlocal boundary value problems involving the p-Laplacian operator and generalized fractional derivatives.
Madeaha Alghanmi
core   +1 more source

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