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The forced oscillation of first order differential equations with deviating arguments. (Chinese. English summary) Zbl 0755.34069

Summary: The oscillation behavior of solutions of first order differential equations with forcing term and deviating arguments of the type \(y'(t)+\sum^ n_{i=1}p_ i(t)y(t-\tau_ i(t))=q(t)\) is considered. Some new oscillation criteria are established. The asymptotic behavior of solutions of a class of first order nonlinear delay differential equations is investigated. Some sufficient conditions for global attractivity are obtained.

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C25 Periodic solutions to ordinary differential equations
34K20 Stability theory of functional-differential equations