Nonlinear integrodifferential equations and a priori bounds on periodic solutions

DOI10.1007/BF01759641zbMath0756.45012MaRDI QIDQ1199808

Paul W. Eloe, Muhammad N. Islam, Theodore Allen Burton

Publication date: 16 January 1993

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

a priori boundsLyapunov's direct methodsystem of integrodifferential equationscontinuous \(T\)-periodic solutionstopological transversality method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Periodic solutions of integral equations (45M15) Systems of nonlinear integral equations (45G15)

Related Items (10)

On the existence of periodic solutions of some nonlinear functional differential equations with unbounded delay ⋮ Existence results for periodic solutions of integro-dynamic equations on time scales ⋮ Periodic solutions for functional differential equations with infinite lead and delay ⋮ Boundary value problems for second order integro-differential equations of Fredholm type ⋮ Periodic solutions of difference equations ⋮ Periodic solutions of abstract differential equations with infinite delay ⋮ On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations ⋮ Periodic Solutions of Linear Integro‐Differential Equations ⋮ Periodic solutions of measure functional differential equations ⋮ Topological transversality and periodic solutions of neutral functional differential equations

Cites Work

• Nonlinear boundary value problems for some classes of ordinary differential equations
• Expension of some results concerning the generalized Lienard equation
• Theory of functional differential equations. 2nd ed
• Periodic solutions of nonlinear functional differential equations
• An extension of a theorem of A. C. Lazer on forced nonlinear oscillations
• Periodic solutions to functional differential equations
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