Results 61 to 70 of about 2,572,519 (223)
Abstract Boundary Delay Systems and Application to Network Flow
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
wiley +1 more source
Matrix transformations and generators of analytic semigroups
Journal of Inequalities and Applications, 2006 We establish a relation between the notion of an operator of an analytic semigroup and matrix transformations mapping from a set of sequences into , where is either of the sets , , or . We get extensions of some results given by Labbas and de Malafosse
Medeghri Ahmed, de Malafosse Bruno
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Dynamically Consistent Analysis of Realized Covariations in Term Structure Models
Mathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley +1 more source
Analytic semigroups generated by an operator matrix in L^2(Omega) X L^2(Omega)
Electronic Journal of Differential Equations, 2012 This article concerns the generation of analytic semigroups by an operator matrix in the space $L^2(Omega)imes L^2(Omega)$. We assume that one of the diagonal elements is strongly elliptic and the other is weakly elliptic, while the sum of the non ...
Salah Badraoui
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Final Value Problems for Parabolic Differential Equations and Their Well-Posedness
Axioms, 2018 This article concerns the basic understanding of parabolic final value problems, and a large class of such problems is proved to be well posed. The clarification is obtained via explicit Hilbert spaces that characterise the possible data, giving ...
Ann-Eva Christensen, Jon Johnsen
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Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra +2 more
wiley +1 more source
Analytic General Conformable Semigroup
International Journal of Analysis and ApplicationsConformable fractional derivative is introduced by [1] to simplify the definition of fractional derivatives since most of them used an integral form which is difficult to solve real problem. However, [1] defined the conformable fractional derivative by considering a particular conformable fractional function t1−α.
Nur Natasha Lim Boon Chye @ Mohd Hairie Lim +3 more
openaire +1 more source
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit +5 more
wiley +1 more source
Representation of Multilinear Mappings and s‐Functional Inequality
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley +1 more source
Generators with interior degeneracy on spaces of L^2 type
Electronic Journal of Differential Equations, 2012 We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroups on spaces of L^2 type.
Genni Fragnelli +3 more
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