Results 21 to 30 of about 2,706 (176)

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, Rabha W. Ibrahim, Reza Arab, Mohsen Rabbani   +3 more
doaj   +1 more source

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
doaj   +1 more source

Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness

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, Ahmed Boudaoui, Wasfi Shatanawi, Noura Laksaci   +3 more
doaj   +1 more source

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, Diop Mamadou Abdoul, Diallo Ouaténi, Traoré Mariam B   +3 more
doaj   +1 more source

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, Mantu Saha, Vahid Parvaneh, Maryam Khorshidi   +3 more
doaj   +1 more source

Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces [PDF]

, 2010
The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions.
Benchohra, M., Graef, John, Mostefai, F.
core   +2 more sources

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
doaj   +1 more source

Instanton Dynamics in the Broken Phase of the Topological Sigma Model [PDF]

, 1995
The topological $\sigma$ model with the black hole metric of the target space is considered. It has been shown before that this model is in the phase with BRST-symmetry broken.
Yung, A. V.
core   +2 more sources

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

On a measure of non-compactness for singular integrals

Journal of Function Spaces and Applications, 2003
It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below.
Alexander Meskhi
doaj   +1 more source