PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127410025600zbMath1188.34088MaRDI QIDQ3567267

Khalil Ezzinbi, Rachid Benkhalti, Abdelhai El Azzouzi

Publication date: 11 June 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsmultivalued mapsHille-Yosida conditioncondensing mapspartial neutral functional equations

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (9)

Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay ⋮ Periodic solutions for non-autonomous neutral functional differential equations with finite delay ⋮ Periodicity in the \(\alpha\)-norm for some partial functional differential equations with infinite delay ⋮ Massera problem for non-autonomous retarded differential equations ⋮ Periodic solutions for some nondensely nonautonomous partial functional differential equations in fading memory spaces ⋮ Periodic trajectories of distributed parameter biochemical systems with time delay ⋮ Periodicity in the \({\alpha}\)-norm for partial functional differential equations in fading memory spaces ⋮ Periodic solutions in the \(\alpha\)-norm for some neutral partial functional differential equations with finite delay ⋮ Existence and regularity of periodic solutions for neutral evolution equations with delays

Cites Work

• A class of linear partial neutral functional differential equations with nondense domain
• Rotating waves in neutral partial functional differential equations
• Strict solutions to nonlinear hyperbolic neutral differential equations
• Self-sustained oscillations in a ring array of coupled lossless transmission lines
• Fixed point theorems and dissipative processes
• STABILITY AND HOPF BIFURCATION FOR A DELAYED COOPERATIVE SYSTEM WITH DIFFUSION EFFECTS
• GLOBAL TANGENCY AND TRANSVERSALITY OF PERIODIC FLOWS AND CHAOS IN A PERIODICALLY FORCED, DAMPED DUFFING OSCILLATOR
• HOPF BIFURCATION ANALYSIS FOR A MATHEMATICAL MODEL OF P53-MDM2 INTERACTION
• Bounded and periodic solutions of finite delay evolution equations
• Existence of a periodic solution for some partial functional differential equations with infinite delay

This page was built for publication: PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS