Periodic solutions of reaction diffusion systems in a half-space domain

DOI10.1016/j.nonrwa.2007.01.001zbMath1146.35305OpenAlexW2051427987MaRDI QIDQ933545

Canrong Tian, Zhigui Lin

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.01.001

zbMATH Keywords

nonlinear Neumann boundary conditionsupper and lower solutionsmonotone iterationsplankton allelopathic model

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57)

Related Items (6)

Periodicity and blowup in a two-species cooperating model ⋮ Coexistence and asymptotic periodicity in a competition model of plankton allelopathy ⋮ THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A QUASILINEAR PARABOLIC SYSTEM ⋮ A two-species cooperative Lotka-Volterra system of degenerate parabolic equations ⋮ Asymptotic behavior of solutions of a periodic diffusion system of plankton allelopathy ⋮ Asymptotic behavior of solutions of a periodic diffusion system

Cites Work

• Monotone iterative technique for semilinear elliptic systems
• Periodic solutions of parabolic systems with nonlinear boundary conditions
• A delay differential equations model of plankton allelopathy
• Parabolic systems in unbounded domains. I: Existence and dynamics
• On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations.
• Periodic solutions of systems of parabolic equations in unbounded domains
• An abstract monotone iterative technique
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