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On transformations of functional-differential equations

Jan Čermák (1993)

Archivum Mathematicum

The paper contains applications of Schrőder’s equation to differential equations with a deviating argument. There are derived conditions under which a considered equation with a deviating argument intersecting the identity y = x can be transformed into an equation with a deviation of the form τ ( x ) = λ x . Moreover, if the investigated equation is linear and homogeneous, we introduce a special form for such an equation. This special form may serve as a canonical form suitable for the investigation of oscillatory...

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