Asymptotic stability for some systems of semilinear Volterra diffusion equations
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Publication:795990
DOI10.1016/0022-0396(84)90165-7zbMath0543.35053OpenAlexW2072984041MaRDI QIDQ795990
Publication date: 1984
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(84)90165-7
stabilityuniquenessasymptotic stabilityfundamental solutionreaction-diffusion systemsFourier-Laplace transformnonlinear perturbationhomogeneous Neumann boundary conditionsLocal existencesemilinear Volterra equations
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Cites Work
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- On a certain class of semilinear Volterra diffusion equations
- On the asymptotic stability of solutions of Volterra integro-differential equations
- Geometric theory of semilinear parabolic equations
- Stability properties for partial Volterra integrodifferential equations
- A class of semi-linear equations of evolution
- Stability and semilinear evolution equations in Hilbert space
- On the Lyapunov-stability of stationary solutions of semilinear parabolic differential equations
- Theory of functional differential equations. 2nd ed
- Volterra integral equations as functional differential equations on infinite intervals
- Asymptotic stability properties of linear Volterra integrodifferential equations
- Nonlinear Volterra integrodifferential systems with L\(^1\)-kernels
- Behaviour of solutions of some abstract functional differential equations and application to predator—prey dynamics
- On a diffusion volterra equation
- Monotone methods and attractivity results for Volterra integro-partial differential equations
- Existence and Stability for Partial Functional Differential Equations
- Global Stability in Ecological Systems with Continuous Time Delay
- Volterra Integral Equations in Banach Space
- Asymptotic Behavior of Linear Integrodifferential Systems
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