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Oscillatory properties of some classes of nonlinear differential equations

Milan Medveď (1992)

Mathematica Bohemica

A sufficient condition for the nonoscillation of nonlinear systems of differential equations whose left-hand sides are given by n -th order differential operators which are composed of special nonlinear differential operators of the first order is established. Sufficient conditions for the oscillation of systems of two nonlinear second order differential equations are also presented.

Parallelisms between differential and difference equations

Veronika Chrastinová, Václav Tryhuk (2012)

Mathematica Bohemica

The paper deals with the higher-order ordinary differential equations and the analogous higher-order difference equations and compares the corresponding fundamental concepts. Important dissimilarities appear for the moving frame method.

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