Stability in the critical case of purely imaginary roots for neutral functional differential equations

DOI10.1016/0022-0396(73)90021-1zbMath0261.34046OpenAlexW1980251123MaRDI QIDQ2560534

Alan R. Hausrath

Publication date: 1973

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90021-1

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items

Normal forms for NFDEs with parameters and application to the lossless transmission line, Hopf bifurcation for functional and functional differential equations with infinite delay, On the stability bifurcation of a nonlinear time delay system, The integral-averaging bifurcation method and the general one-delay equation, Behavior near constant solutions of functional differential equations, Effect of delays on functional differential equations, Integral averaging and bifurcation, Theory of equations of neutral type, Invariant manifolds for Volterra integral equations of convolution type

Cites Work

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• Integral manifolds of perturbed differential systems
• The bifurcation of one or more closed orbits from an equilibrium point of an autonomous differential system
• Existence, uniqueness and continuous dependence for hereditary systems
• Asymptotic behavior of neutral functional differential equations
• Forward and backward continuation for neutral functional differential equations
• Exponential estiamtes and the saddle point property for neutral functional differential equations
• Critical cases for neutral functional differential equations
• Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type
• A class of functional equations of neutral type