Results 51 to 60 of about 19,755 (210)
Robust observability for regular linear systems under nonlinear perturbation
Electronic Journal of Differential Equations, 2015 In this article, we consider the admissibility and exact observability of a class of semilinear systems obtained by nonlinear perturbation for regular linear systems.
Weisheng Jiang, Bin Liu, Zhibing Zhang
doaj
Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces
International Journal of Mathematics and Mathematical Sciences, 2012 Generalized solutions to the abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under consideration.
Irina V. Melnikova, Uljana A. Alekseeva
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Nonlinear semigroups generated by j-elliptic functionals
Journal de Mathématiques Pures et Appliquées, 2016 We generalise the theory of energy functionals used in the study of gradient systems to the case where the domain of definition of the functional cannot be embedded into the Hilbert space $H$ on which the associated operator acts, such as when $H$ is a trace space.
Chill, Ralph +2 more
openaire +2 more sources
Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej +3 more
wiley +1 more source
Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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On Global Existence of the Fractional Reaction-Diffusion System’s Solution
International Journal of Analysis and Applications, 2023 The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods
Iqbal M. Batiha +3 more
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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
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Multivalued evolution equations with infinite delay in Fréchet spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay ...
Selma BAGHLI-BENDIMERAD +1 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates the existence and uniqueness of solutions to nonlinear Volterra integral equations of variable fractional order in Fréchet spaces. The variable‐order fractional derivative is considered in the Riemann–Liouville sense, which extends classical approaches and is central to the paper’s novelty.
Mohamed Telli +5 more
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