Results 61 to 70 of about 507 (130)
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan +4 more
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Nonlocal fractional semilinear differential equations in separable Banach spaces
Electronic Journal of Differential Equations, 2013 In this article, we study the existence of mild solutions for fractional semilinear differential equations with nonlocal conditions in separable Banach spaces.
Kexue Li, Jigen Peng, Jinghuai Gao
doaj
A Quantitative Version of James’s Reflexivity Theorem
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this note, we will use a measure of nonreflexivity of Banach spaces, a measure of nonbounded completeness of bases, and a measure of nonshrinkingness of bases to prove a quantitative version of the well‐known reflexivity theorem due to R. C. James.
Xuemei Xue, Richard I. Avery
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On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, some properties of weighted Segal algebras are investigated. The condition under which it guarantees the existence of a central approximate identity for weighted Segal algebras is given. Also, various homological and cohomological properties of weighted Segal algebras are obtained.
Batoul S. Mortazavi-Samarin +3 more
wiley +1 more source
Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0(Γ) and c(Γ), as well as lpΓ for 1 ≤ p ≤ ∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ.
Shiva Shah +4 more
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Perfectly normal nonrealcompact spaces under Martin's Maximum
Mathematical Logic Quarterly, Volume 70, Issue 4, Page 388-397, November 2024.Abstract We analyze the behavior of a perfectly normal nonrealcompact space (ω1,τ)$(\omega _1, \tau)$ on ω1$\omega _1$ such that for every γ<ω1$\gamma <\omega _1$, γ$\gamma$ is τ$\tau$‐open and γ+ω$\gamma +\omega$ is τ$\tau$‐closed under Martin's Maximum. We show that there exists a club subset D$D$ of ω1$\omega _1$ such that for a stationary subset of
Tetsuya Ishiu
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Abstract and Applied Analysis, 2012 Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal initial conditions u′(t)=Au(t)+∫0tB(t-s)u(s)ds+f(t,u(t)), t∈[0,1], u(0)=g(u),
Carlos Lizama, Juan C. Pozo
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An Arzelà-Ascoli theorem for the Hausdorff measure of noncompactness [PDF]
, 2022 Ben Berckmoes
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On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Benedetti I, Obukhovskii V, Taddei V.
europepmc +1 more source