On nonlinear delay differential equations. (English) Zbl 0804.34065

Iserles, A.

Trans. Am. Math. Soc. 344, No. 1, 441-477 (1994).

Nonlinear delay differential equations are investigated. The uniform boundedness, asymptotic stability, periodicity of the solution of such problem are proved. The approach of Dirichlet series is used. Different cases of the right-hand side function are considered and the convergence of the Dirichlet expansions is proved for them.

Reviewer: A.Slavova (Russe)

MSC:

34K99	Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34K05	General theory of functional-differential equations
34K20	Stability theory of functional-differential equations

Keywords:

nonlinear delay differential equations; uniform boundedness; asymptotic stability; periodicity; Dirichlet series

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