Stability analysis of heat flow with boundary time-varying delay effect
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Publication:988836
DOI10.1016/j.na.2010.05.022zbMath1195.35052OpenAlexW2094822189MaRDI QIDQ988836
Xiu-Jin Miao, Yue-Zhong Chen, Zai-Yun Zhang, Zhen-Hai Liu
Publication date: 19 August 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.05.022
exponential stabilityheat flowtime-varying delaymodified Lyapunov functional approachvariable norm technique
Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20)
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Cites Work
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- Approximate controllability of nonlinear stochastic evolution systems with time-varying delays
- Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays
- Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
- Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays
- Existence of fast positive wavefronts for a non-local delayed reaction-diffusion equation
- Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay
- Persistence of wavefronts in delayed nonlocal reaction-diffusion equations
- Entire solutions in monostable reaction-diffusion equations with delayed nonlinearity
- Approximate controllability of a system of parabolic equations with delay
- Traveling fronts in monostable equations with nonlocal delayed effects
- Mixing enhancement in enzymatic chemical reactions by optimal tuning of flows
- Global existence and uniform decay for wave equation with dissipative term and boundary damping
- Method of Lyapunov functionals construction in stability of delay evolution equations
- Traveling wavefronts for time-delayed reaction-diffusion equation. I: Local nonlinearity
- Traveling wavefronts for time-delayed reaction-diffusion equation. II: Nonlocal nonlinearity
- Hopf bifurcations in a reaction-diffusion population model with delay effect
- Uniform attractors for non-autonomous parabolic equations with delays
- Asymptotic stability of traveling wave fronts in nonlocal reaction-diffusion equations with delay
- Exponential convergence of BAM neural networks with time-varying coefficients and distributed delays
- Semigroups of linear operators and applications to partial differential equations
- Introduction to functional differential equations
- Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations
- Existence of traveling wave solutions for a reaction-diffusion equation with distributed delays
- Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
- Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays
- Dynamic stabilization of an Euler-Bernoulli beam equation with time delay in boundary observation
- Existence and stability of periodic solutions for parabolic systems with time delays
- Nonmonotone travelling waves in a single species reaction--diffusion equation with delay
- Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
- Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
- The global attractor of a competitor-competitor-mutualist reaction-diffusion system with time delays
- Dynamics for a type of general reaction-diffusion model
- Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbations
- Stabilization of wave systems with input delay in the boundary control
- Mixing Enhancement by Optimal Flow Advection
- Entire solutions in bistable reaction-diffusion equations with nonlocal delayed nonlinearity
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- Two examples of ill-posedness with respect to time delays revisited
- Boundary Feedback Stabilization of an Unstable Heat Equation
- Boundary control of an unstable heat equation via measurement of domain-averaged temperature
- On the passivity of linear delay systems
- On a nonlinear heat equation with a time delay
- Stability and asymptotic behaviour of solutions of the heat equation
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- Convergence of solutions of reaction-diffusion systems with time delays
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