Global bifurcation of periodic solutions of some autonomous functional differential equations

DOI10.1016/0022-247X(76)90076-7zbMath0363.34050OpenAlexW2014118904MaRDI QIDQ1240362

Roger D. Nussbaum

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0022-247x(76)90076-7

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Boundary value problems for functional-differential equations (34K10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations ⋮ Global Hopf bifurcations of neutral functional differential equations with state-dependent delay ⋮ BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations ⋮ Global Hopf bifurcation for differential equations with state-dependent delay ⋮ A theorem on the amplitudes of periodic solutions of differential delay equations with applications to bifurcation ⋮ The range of periods of periodic solutions of \(x'(t)=-\alpha f(x(t-1))\) ⋮ Global continua of periodic solutions to some difference-differential equations of neutral type

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