On asymptotic behavior of solutions of second order linear differential equations.
On third-order linear difference equations involving quasi-differences.
On the dynamics of the generalized Emden-Fowler equation.
Disconjugate operators and related differential equations.
On second-order differential equations with nonhomogeneous -Laplacian.
Nonoscillatory half-linear difference equations and recessive solutions.
Positive solutions for singular discrete boundary value problems.
Singular quadratic functionals and transformation of linear Hamiltonian systems
Monotonicity properties of the linear combination of derivatives of some special functions
The Riccati differential equation with complex-valued coefficients and application to the equation
On oscillatory solutions of third-order linear differential equations
Higher monotonicity properties of special functions: application on Bessel case
Oscillation for third-order nonlinear differential equations with deviating argument.
100 let matematiky na Masarykově univerzitě
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.
General uniqueness theorems for ordinary differential equations
[CDDE 2000. Proceedings of the colloquium on differential and difference equations, Brno, Czech Republic, September 5-8, 2000]. Preface
On transformations of singular quadratic functionals corresponding to equation
Oscillation of third order differential equation with damping term
We study asymptotic and oscillatory properties of solutions to the third order differential equation with a damping term We give conditions under which every solution of the equation above is either oscillatory or tends to zero. In case and if the corresponding second order differential equation is oscillatory, we also study Kneser solutions vanishing at infinity and the existence of oscillatory solutions.
Quadratic functionals with a variable singular end point
In this paper we introduce the definition of coupled point with respect to a (scalar) quadratic functional on a noncompact interval. In terms of coupled points we prove necessary (and sufficient) conditions for the nonnegativity of these functionals.
Singular quadratic functionals of one dependent variable
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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