Stability for the damped wave equation with neutral delay
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DOI: 10.1002/mana.201600229
Abstract: Of concern is a wave equation with a distributed neutral delay. We prove that, despite the destructive nature of delays in general, solutions may go back to the equilibrium state in an exponential manner as… read more here.
Keywords: neutral delay; stability damped; delay; damped wave ... See more keywords
Indirect stability of the wave equation with a dynamic boundary control
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DOI: 10.1002/mana.201700021
Abstract: In this paper, we consider a damped wave equation with a dynamic boundary control. First, combining a general criteria of Arendt and Batty with Holmgren's theorem we show the strong stability of our system. Next,… read more here.
Keywords: decay; system; control; polynomial decay ... See more keywords
Global existence and stability of the wave equation with boundary variable damping
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DOI: 10.1002/mana.202300003
Abstract: In this paper, we present the result of global existence of solution for the wave equation with boundary variable damping term. Then, we prove that this global solution is stable. Our study is based on… read more here.
Keywords: variable damping; wave equation; global existence; equation boundary ... See more keywords
Reconstruction of an initial function from the solutions of the fractional wave equation on the light cone trace
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DOI: 10.1002/mma.10078
Abstract: We reconstruct the initial functions from the trace of the solution of an initial value problem for the wave equation on the light cone. A method to recover the initial function from the solution of… read more here.
Keywords: equation; fractional wave; light cone; wave equation ... See more keywords
Asymptotic Behavior for a Viscoelastic Wave Equation With Acoustic and Fractional Conditions Combined by Nonlinear Time‐Varying Delay in Boundary Feedback in the Presence of Logarithmic Source Term
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DOI: 10.1002/mma.10687
Abstract: This study examines a wave equation within the framework of nonlinear viscoelasticity. Specifically, it considers a nonlinear, time‐varying delay feedback acting on the boundary, coupled with acoustic and fractional boundary conditions, and influenced by a… read more here.
Keywords: acoustic fractional; nonlinear time; wave equation; logarithmic source ... See more keywords
A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
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DOI: 10.1002/mma.4414
Abstract: The key purpose of the present work is to constitute a numerical scheme based on q-homotopy analysis transform method to examine the fractional model of regularized long-wave equation. The regularized long-wave equation explains the shallow… read more here.
Keywords: analysis; fractional model; regularized long; long wave ... See more keywords
Stabilization of a one-dimensional wave equation with variable coefficient under non-collocated control and delayed observation
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DOI: 10.1002/mma.4654
Abstract: In this paper, we consider stabilization of a 1-dimensional wave equation with variable coefficient where non-collocated boundary observation suffers from an arbitrary time delay. Since input and output are non-collocated with each other, it is… read more here.
Keywords: equation variable; observation; non collocated; equation ... See more keywords
A general decay result of a wave equation with a dynamic boundary control of diffusive type
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DOI: 10.1002/mma.5544
Abstract: We study a wave equation with a dynamic boundary control of diffusive type. We establish optimal and explicit energy decay formula by using resolvent estimates. Our new result generalizes and improves the earlier related results… read more here.
Keywords: boundary control; wave equation; dynamic boundary; diffusive type ... See more keywords
Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
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DOI: 10.1002/mma.6343
Abstract: This study explores the fractional damped generalized regularized long‐wave equation in the sense of Caputo, Atangana‐Baleanu, and Caputo‐Fabrizio fractional derivatives. With the aid of fixed‐point theorem in the Atangana‐Baleanu fractional derivative with Mittag‐Leffler–type kernel, we… read more here.
Keywords: wave equation; long wave; regularized long; atangana baleanu ... See more keywords
Spectral Determinant for the Wave Equation on an Interval with Dirac Damping
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DOI: 10.1007/s00020-025-02802-0
Abstract: A closed formula for the spectral determinant for the wave equation on a bounded interval, subject to Dirichlet boundary conditions and an α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-multiple of the… read more here.
Keywords: documentclass 12pt; document; wave equation; determinant wave ... See more keywords
Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation
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DOI: 10.1007/s00211-021-01259-8
Abstract: Time-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices have to be computed… read more here.
Keywords: boundary element; wave equation; cross approximation; approximation ... See more keywords