On the vol'pert theory of travelling-wave solutions for parabolic systems
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Publication:4886567
DOI10.1016/0362-546X(95)00038-WzbMath0869.34064OpenAlexW2113118226MaRDI QIDQ4886567
Publication date: 15 August 1996
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(95)00038-w
Reaction-diffusion equations (35K57) General spectral theory of ordinary differential operators (34L05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (7)
Existence of additional unstable equilibria for some monostable systems ⋮ Stability of planar traveling fronts in bistable reaction-diffusion systems ⋮ Propagation of stochastic travelling waves of cooperative systems with noise ⋮ Spatial spread of infectious diseases with conditional vector preferences ⋮ Existence of heteroclinic orbits for systems satisfying monotonicity conditions. ⋮ Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems ⋮ Entire solutions of monotone bistable reaction-diffusion systems in \(\mathbb{R}^N\)
Cites Work
- On convexity properties of the spectral radius of nonnegative matrices
- Convexity and log convexity for the spectral radius
- Non-negative matrices and Markov chains. 2nd ed
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Travelling Waves for Mutualist Species
- A CONVEXITY PROPERTY OF POSITIVE MATRICES
- Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix
- Upper and lower stability and index theory for positive mappings and applications
- Algebra, analysis and probability for a coupled system of reaction-duffusion equations
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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