Extended Hopf bifurcation for abstract integral equations at resonant eigenvalue

DOI10.1007/S10883-014-9235-6zbMath1305.34123OpenAlexW2076768174MaRDI QIDQ459039

Vladimir Jacimovic

Publication date: 8 October 2014

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-014-9235-6

zbMATH Keywords

semigroupHopf bifurcationnon-resonance conditionAIERFDE

Mathematics Subject Classification ID

Abstract bifurcation theory involving nonlinear operators (47J15) Abstract integral equations, integral equations in abstract spaces (45N05) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Unnamed Item
• Invariant manifolds for Volterra integral equations of convolution type
• New bifurcation theorems via the second-order optimality conditions
• Abstract Hopf bifurcation theorem and further extensions via second variation
• Theory of functional differential equations. 2nd ed
• The Hopf bifurcation theorem in infinite dimensions
• Delay equations. Functional-, complex-, and nonlinear analysis
• Hopf bifurcation for retarded functional differential equations and for semiflows in Banach spaces
• A bifurcation problem for a functional differential equation of finitely retarded type
• The Hopf bifurcation for nonlinear semigroups

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