Dispersions for linear differential equations of arbitrary order

František Neuman

Displaying similar documents to “Dispersions for linear differential equations of arbitrary order”

Transformation theory of linear ordinary differential equations -- from local to global investigations

František Neuman (1997)

Archivum Mathematicum

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A survey of investigations of linear differential equations from the point of view of transformations is described. These investigations started in the middle of the last century and continued till the present time. Essential step was done in the fifties by O. Borvka, who started global investigations of the second order equations.

On transformations of functional-differential equations

Jan Čermák (1993)

Archivum Mathematicum

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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...

On a perturbed nonlinear third order differential equation

Michal Greguš (1997)

Archivum Mathematicum

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In this paper we will study some asymptotic properties of a nonlinear third order differential equation viewed as a perturbation of a simpler nonlinear equation investigated recently by the authors in [4].