Results 11 to 20 of about 221 (157)

Generalized quasi-Banach sequence spaces and measures of noncompactness

Anais da Academia Brasileira de Ciências, 2013
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA, DIOCESAR L. FERNANDEZ, LUDMILA NIKOLOVA   +2 more
doaj   +1 more source

Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

Journal of Inequalities and Applications, 2016
In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi, Mohammad Mursaleen, Syed Abdul Mohiuddine   +2 more
doaj   +1 more source

A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations

Journal of Mathematics, 2018
We study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), equipped with a suitable topology. As an application of the technique associated with this family of measures of noncompactness, we study the existence of ...
H. Mehravaran, M. Khanehgir, R. Allahyari   +2 more
doaj   +1 more source

Existence of solutions for some classes of integro-differential equations via measure of noncompactness

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari, Reza Arab, Ali Shole Haghighi   +2 more
doaj   +1 more source

Existence Results for Fractional Integral Equations in Frechet Spaces

Journal of Mathematical Sciences and Modelling, 2022
The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval.
Said Baghdad
doaj   +1 more source

Real Interpolation and Measure of Weak Noncompactness

Mathematische Nachrichten, 1995
AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
openaire   +3 more sources

Existence of bounded solutions for second order neutral difference equations via measure of noncompactness

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
doaj   +1 more source

Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces [PDF]

Mathematica Bohemica, 2017
We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem ...
Djamila Seba
doaj   +1 more source

Existence of solutions of infinite systems of nonlinear Volterra integral equations on a Fréchet space

پژوهش‌های ریاضی, 2021
In this paper, we introduce a Fréchet space  and define a measure of noncompactness on it.  For credit and the application to our theorems, in the application section of this paper, we present a theorem which shows the existence of solution of infinite ...
Hogat Allah Amiri kayvanloo, Mahnaz Khanehgir, Reza Allahyari   +2 more
doaj  

Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2010
The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra, John Graef, F. Mostefai   +2 more
doaj   +1 more source