On a method to investigate bifurcation of periodic solutions in retarded differential equations

DOI10.1080/10236199808808126zbMath0909.34061OpenAlexW2134562574MaRDI QIDQ4209753

L. A. V. Carvalho

Publication date: 28 September 1998

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808126

zbMATH Keywords

periodic solutionsbifurcationretarded differential equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Difference Equations∶ Detecting Oscillations via Higher Order Characteristic Equations ⋮ Periodic solutions and stability for a singularly perturbed linear delay differential equation ⋮ Special symmetric periodic solutions of differential systems with distributed delay ⋮ Existence of periodic solutions in a linear higher order system of difference equations ⋮ Periodic solutions of certain hybrid delay-differential equations and their corresponding difference equations ⋮ A method to calculate periodic solutions of functional differential equations ⋮ Multiple symmetric periodic solutions of differential systems with distributed delay ⋮ Periodic solutions of difference equations ⋮ Periodic solutions of discrete Volterra equations. ⋮ On the asymptotic behavior of solutions of certain differential functional equations ⋮ Periodic solutions of certain hybrid delay-differential equations and their corresponding difference equations

Cites Work

• A global bifurcation theorem with applications to functional differential equations
• The range of periods of periodic solutions of \(x'(t)=-\alpha f(x(t-1))\)
• The Fuller index and global Hopf bifurcation
• A Lyapunov Functional for a Retarded Differential Equation