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A change of variables in the asymptotic theory of differential equations with unbounded delays. (English) Zbl 1016.34077

The author deals with asymptotic properties of solutions to the nonhomogeneous linear differential equation \[ \dot x(t)= ax(\tau(t))+ bx(t)+ f(t)\tag{1} \] with nonzero real scalars \(a\), \(b\), and unbounded lag. The key techniques here is based on a change of the independent and dependent variables in equation (1) into a more suitable form. This work is closely related to E. B. Lim [SIAM J. Math. Anal. 9, 915-920 (1978; Zbl 0392.34035)].
Reviewer: Zhou

MSC:

34K25 Asymptotic theory of functional-differential equations
34K17 Transformation and reduction of functional-differential equations and systems, normal forms
39B99 Functional equations and inequalities

Citations:

Zbl 0392.34035
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References:

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