Results 61 to 70 of about 4,373 (230)

An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation

open access: yesAbstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval.
A. M. A. El-Sayed   +2 more
wiley   +1 more source

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

open access: yesJournal 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
wiley   +1 more source

The Existence of Central Approximate Identity for Beurling Segal Algebras and Related Homological Properties

open access: yesJournal 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

Two properties of norms in Orlicz spaces

open access: yesLe Matematiche, 2001
A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
doaj  

The exact values of nonsquare constants for a class of Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2005
We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
doaj  

Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity

open access: yesMathematische Nachrichten, Volume 297, Issue 11, Page 3982-4002, November 2024.
Abstract We study a superlinear elliptic boundary value problem involving the p$p$‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem.
Mabel Cuesta, Rosa Pardo
wiley   +1 more source

Approximative Compactness in Orlicz Spaces

open access: yesJournal of Approximation Theory, 1998
Let \(M\) be a convex \(N\)-function and let \(\ell^M\) be the Orlicz sequence space with Luxemburg norm, \(L^M\) the Orlicz space with Luxemburg norm or with Orlicz norm of functions over a Lebesgue measurable set \(\Omega\subset \mathbb{R}\) of finite measure. It is proved that \(\ell^M\) is approximatively compact if and only if it is reflexive and \
Hudzik, Henryk, Wang, Baoxiang
openaire   +2 more sources

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