Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels
DOI10.3934/dcdss.2021077zbMath1479.35077OpenAlexW3176307444WikidataQ115219125 ScholiaQ115219125MaRDI QIDQ2063995
Jin Liang, Kun-Peng Jin, Ti-Jun Xiao
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021077
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Stability theory for integral equations (45M10) Abstract integral equations, integral equations in abstract spaces (45N05) Abstract hyperbolic equations (35L90) Integro-partial differential equations (35R09)
Related Items (4)
Cites Work
- Unnamed Item
- Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback
- Global solutions to the equation of thermoelasticity with fading memory
- Integro-differential equations of hyperbolic type with positive definite kernels
- Global existence for elastic waves with memory
- Exponential stability of the wave equation with boundary time-varying delay
- Stability of the heat and of the wave equations with boundary time-varying delays
- Global solutions to the equation of viscoelasticity with fading memory
- Frequency domain methods for Volterra equations
- Abstract Volterra integrodifferential equations with applications to parabolic models with memory
- Thermoacoustic tomography for an integro-differential wave equation modeling attenuation
- Exponential stability for the wave model with localized memory in a past history framework
- Stability of hyperbolic-parabolic mixed type equations with partial boundary condition
- Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings
- Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels
- Coupled second order semilinear evolution equations indirectly damped via memory effects
- Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping
- Stability of hyperbolic-parabolic mixed type equations
- A semilinear integro-differential equation: global existence and hidden regularity
- Linearized stability for nonlinear Volterra equations
- Coupled second order evolution equations with fading memory: optimal energy decay rate
- Stability of Timoshenko systems with past history
- Decay estimates for second order evolution equations with memory
- Semilinear integrodifferential equations of hyperbolic type: existence in the large
- Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory
- Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable
- Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
- Energy methods for nonlinear hyperbolic volterra integrodifferential equations
- On a Nonlinear Hyperbolic Volterra Equation
- Stability for the Mixed Problem Involving the Wave Equation, with Localized Damping, in Unbounded Domains with Finite Measure
- Positive definite functions and Volterra integral equations
- Stability Theorems for Some Functional Equations
- Note on intrinsic decay rates for abstract wave equations with memory
- \(L^p\) estimates for the linear wave equation and global existence for semilinear wave equations in exterior domains
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