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100 let matematiky na Masarykově univerzitě

Zuzana DošláJan Slovák — 2019

Pokroky matematiky, fyziky a astronomie

Článek nabízí stručný přehled témat a osobností, které formovaly rozvoj matematiky na Masarykově univerzitě v Brně od jejího založení v roce 1919. Vývoj vědních oborů sledujeme ve čtyřech obdobích historie univerzity.

Oscillation of third order differential equation with damping term

Miroslav BartušekZuzana Došlá — 2015

Czechoslovak Mathematical Journal

We study asymptotic and oscillatory properties of solutions to the third order differential equation with a damping term x ' ' ' ( t ) + q ( t ) x ' ( t ) + r ( t ) | x | λ ( t ) sgn x ( t ) = 0 , t 0 . We give conditions under which every solution of the equation above is either oscillatory or tends to zero. In case λ 1 and if the corresponding second order differential equation h ' ' + q ( t ) h = 0 is oscillatory, we also study Kneser solutions vanishing at infinity and the existence of oscillatory solutions.

Singular quadratic functionals of one dependent variable

Zuzana DošláOndřej Došlý — 1995

Commentationes Mathematicae Universitatis Carolinae

Singular quadratic functionals of one dependent variable with nonseparated boundary conditions are investigated. Necessary and sufficient conditions for nonnegativity of these functionals are derived using the concept of and . The paper also includes two comparison theorems for coupled points with respect to the various boundary conditions.

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