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On transformations of functional-differential equations. (English) Zbl 0802.34079
The author deals with applications of Schröder’s equation to differential equations with deviating arguments. He derives conditions under which the considered equation with a deviating argument intersecting the identity \(y= x\) can be transformed into an equation with a deviation of the form \(\tau(x)= \lambda x\). For linear and homogeneous equations, he introduces a special, canonical form, suitable for investigation of oscillatory and asymptotic properties of these equations.
Reviewer: F.Neuman (Brno)
MSC:
34K05 General theory of functional-differential equations
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
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