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Freiria, A. A.; Dos Reis, J. G.

Uniform asymptotic stability of perturbed systems of neutral differential equations. (English) Zbl 0511.34054

Nonlinear Anal., Theory Methods Appl. 6, 117-123 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0511.34054

MSC:

34K20 Stability theory of functional-differential equations
34D20 Stability of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations

Keywords:

non-perturbed neutral functional differential equation; Lyapunov function
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References:

[1] Cruz, M. A.; Hale, J. K., Stability of functional differential equations of neutral type, J. diff. Eqns, 7, 2, 334-355 (1970) · Zbl 0191.38901
[2] Izé, A. F.; Dos Reis, J. G., Stability of perturbed neutral functional differential equations, Nonlinear Analysis T.M.A., 2, 5, 563-571 (1978) · Zbl 0414.34078
[3] Hale, J. K., Theory of functional differential equations, (Applied Mathematical Sciences, Vol. 3 (1977), Springer Verlag: Springer Verlag Berlin) · Zbl 0189.39904
[4] Lopes, O. F., Periodic solutions of perturbed neutral differential equations, J. diff. Equns, 15, 1 (1974) · Zbl 0251.34050
[5] Onuchic, N., On a criterion of instability for differential equations with the time delay, (Periodic Orbits, Stability and Resinances (1970), Reidel Publishing Co: Reidel Publishing Co Holland), 339-342
[6] Levin, J. J.; Nohel, J., On a nonlinear delay equation, J. math. Analysis Applic., 8, 34-44 (1964) · Zbl 0129.07703
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