Ultimate boundedness and periodicity for some partial functional differential equations with infinite delay

DOI10.1016/j.jmaa.2006.06.088zbMath1178.35369OpenAlexW2091289518MaRDI QIDQ868799

Khalil Ezzinbi, Abdelhai El Azzouzi

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.088

zbMATH Keywords

semigroupperiodic solutionultimate boundednesscondensing mapintegral solutionsuniform fading memory spaceHale and Lunel's fixed point theoremHille--Yosida condition

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Partial functional-differential equations (35R10) A priori estimates in context of PDEs (35B45)

Related Items (6)

Ultimate boundedness theorems for impulsive stochastic differential systems with Markovian switching ⋮ Periodic solution for some class of linear partial differential equation with infinite delay using semi-Fredholm perturbations ⋮ Existence and continuous dependence results for nonlinear differential inclusions with infinite delay ⋮ The periodic solution of functional differential equations with infinite delay ⋮ Periodic solutions for a class of neutral functional differential equations with infinite delay ⋮ On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional differential equations with infinite delay
• A class of linear partial neutral functional differential equations with nondense domain
• Introduction to functional differential equations
• Bounded and periodic solutions of infinite delay evolution equations.
• Periodic solutions of infinite delay evolution equations
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Theory and applications of partial functional differential equations
• Periodic solutions of non-densely defined delay evolution equations
• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• Fixed point theorems and dissipative processes
• The existence of periodic solutions of systems of differential equations
• One-Parameter Semigroups for Linear Evolution Equations
• Global exponential stability and periodicity of recurrent neural networks with time delays
• Regularity of solutions of abstract retarded functional differential equations with unbounded delay
• Existence of a periodic solution for some partial functional differential equations with infinite delay
• Existence for a class of partial functional differential equations with infinite delay
• Local existence and stability for some partial functional-differential equations with infinite delay

This page was built for publication: Ultimate boundedness and periodicity for some partial functional differential equations with infinite delay