Document Zbl 0427.34071

Stability of Lurie-type functional equations. (English) Zbl 0427.34071

J. Differ. Equations 26, 191-199 (1977).

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MSC:

34K20	Stability theory of functional-differential equations
34K99	Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34D20	Stability of solutions to ordinary differential equations
34H05	Control problems involving ordinary differential equations

Keywords:

Lurie-type functional equations; absolute stability; Lyapunov functionals

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References:

[1]	Aizerman, M. A.; Gantmacher, F. R., Stability of Nonlinear Control Systems (1964), Holden-Day: Holden-Day Dan Francisco, Eng. Trans. · Zbl 0123.28401
[2]	Halanay, A., Ordinary Differential Equations. Stability, Oscillations, Time Lags (1966), Academic Press: Academic Press New York · Zbl 0144.08701
[3]	Hale, J. K., Asymptotic behavior of solutions of differential-difference equations, (Proceedings of the International Symposium for Non-linear Oscillations, Vol. II (1963)), Kiev · Zbl 0139.03501
[4]	Hale, J. K., Functional differential equations with parameters, (Contributions to Differential Equations, I (1962), Wiley: Wiley N.Y), 401 · Zbl 0126.10503
[5]	Hale, J. K., Functional Differential Equations (1971), Springer-Verlag: Springer-Verlag New York · Zbl 0213.36901
[6]	Lefschetz, S., Stability of Non-linear Control Systems (1965), Academic Press: Academic Press New York · Zbl 0136.08801
[7]	Yoshizawa, T., Stability by Liapunov Second Method (1966), The Mathematical Society of Japan: The Mathematical Society of Japan Tokyo · Zbl 0144.10802

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