Results 31 to 40 of about 269 (133)

Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations

Advances in Difference Equations, 2020
In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space.
Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad, Aziz Khan   +3 more
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On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces [PDF]

Proceedings of the American Mathematical Society, 1996
In this paper we prove some formulae and evaluations on relative Hausdorff measures of noncompactness and relative Chebyshev radii in various Banach spaces. We generalize the Lifschitz constant κ ( X ) \kappa (X) and introduce a function κ ~
Wiśnicki, Andrzej, Wośko, Jacek
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Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded [PDF]

, 2001
summary:In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $(\bar{N},q)$ summable or bounded.
Rakočević, V., Malkowsky, E.
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Second order evolution equations with nonlocal conditions

Demonstratio Mathematica, 2017
In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak, Nieto Juan J., Rezoug Noreddine   +2 more
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Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space

Advances in Difference Equations, 2021
A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem, Hashim M. Alshehri, Lamya Almaghamsi   +2 more
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Compactness of quadruple band matrix operator and geometric properties

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022
In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and l∞(Q) into c0, c and l∞, respectively, with the notion of the Hausdorff measure of noncompactness.
Mustafa Cemil Bişgin, Abdulcabbar Sönmez   +1 more
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On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings

Mathematics, 2023
The purpose of the paper is to establish a sufficient condition for the existence of a solution to the equation T(u,C(u))=u using Kannan-type equicontractive mappings, T:A×C(A)¯→Y, where C is a compact mapping, A is a bounded, closed and convex subset of
Huaping Huang, Subhadip Pal, Ashis Bera, Lakshmi Kanta Dey   +3 more
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Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions

Nonlinear Analysis, 2018
In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces.
JinRong Wang, Ahmed Gamal Ibrahim, Donal O’Regan   +2 more
doaj   +1 more source

Compact Operators for Almost Conservative and Strongly Conservative Matrices

Abstract and Applied Analysis, 2014
We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f,X), where ...
S. A. Mohiuddine, M. Mursaleen, A. Alotaibi   +2 more
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On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

, 2021
In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed.
Kadak, Ugur, Baliarsingh, P.
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