Results 41 to 50 of about 993,184 (218)

Blow-Up of Solution of Lamé Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

open access: yesMathematics, 2023
In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation.
Amina Benramdane   +4 more
doaj   +1 more source

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley   +1 more source

Nonlinear semigroups and the existence and stability of solutions of semilinear nonautonomous evolution equations

open access: yesAbstract and Applied Analysis, 1996
This paper is concerned with the existence and stability of solutions of a class of semilinear nonautonomous evolution equations. A procedure is discussed which associates to each nonautonomous equation the so-called evolution semigroup of (possibly ...
Bernd Aulbach, Nguyen Van Minh
doaj   +1 more source

Stability of limit regimes in general reaction-diffusion type systems

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян   +1 more
doaj   +1 more source

Fault‐Tolerant Fuzzy Boundary Control for Nonlinear Distributed Parameter Systems Under Limited Measurements and Markovian Failures

open access: yesCAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li   +5 more
wiley   +1 more source

Finite groups are big as semigroups [PDF]

open access: yes, 2011
We prove that a finite group G occurs as a maximal proper subsemigroup of an infinite semigroup (in the terminology of Freese, Ježek, and Nation, G is a big semigroup) if and only if |G| ≥ 3.
Ruskuc, Nik   +3 more
core   +1 more source

Bounded control of time-delay nonlinear PDEs via an LQR approach: Application to the generalized Kuramoto–Sivashinsky equation

open access: yesResults in Control and Optimization
This work develops a Linear Quadratic Regulator (LQR)-based optimal feedback controller for nonlinear partial differential equations (PDEs) subject to an input time delay. The controller is designed using the linearized dynamics and is shown to stabilize
R. Al Jamal, N. Smaoui
doaj   +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

Neutrosophic LA-Semigroup Rings [PDF]

open access: yes, 2015
Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures.
Shabir, Muhammad   +7 more
core   +1 more source

Controllability of mild solutions for fractional neutral evolution equations with state-dependent delay [PDF]

open access: yesArchives of Control Sciences
This paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives.
Selma Baghli-Bendimerad   +1 more
doaj   +1 more source

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