A sufficient condition for the existence of periodic solution for a reaction diffusion equation with infinite delay.

DOI10.1016/S0096-3003(02)00860-3zbMath1056.45009OpenAlexW2012937886MaRDI QIDQ1417016

Li Zhou, Yanbin Tang

Publication date: 18 December 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00860-3

zbMATH Keywords

existenceasymptotic behavioruniquenessdelayperiodic solutionintegro-partial differential equationreaction diffusion equationreaction diffusion

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Periodic solutions of integral equations (45M15) Asymptotics of solutions to integral equations (45M05)

Related Items (1)

Global asymptotic behavior in a Lotka-Volterra competition system with spatio-temporal delays

Cites Work

• Periodic solutions of parabolic systems with nonlinear boundary conditions
• Existence and stability of periodic quasisolutions in nonlinear parabolic systems with discrete delays
• On Volterra’s Population Equation with Diffusion
• Asymptotic behaviour of solutions of periodic competition diffusion system
• Quasisolutions and global attractor of reaction-diffusion systems
• A prior bounds and stability of solutions for a Volterra reaction-diffusion equation with infinite delay

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