EUDML

It is shown that for a given system of linearly independent linear continuous functionals $l_{i} C^{n - 1} \to ℝ$ , $i = 1, \dots, n$ , the set of all $n$ -th order linear differential equations such that the Green function for the corresponding generalized boundary value problem (BVP for short) exists is open and dense in the space of all $n$ -th order linear differential equations. Then the generic properties of the set of all solutions to nonlinear BVP-s are investigated in the case when the nonlinearity in the differential equation has...

On condensing discrete dynamical systems

Valter Šeda — 2000

Mathematica Bohemica

In the paper the fundamental properties of discrete dynamical systems generated by an $α$ -condensing mapping ( $α$ is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnosel’skij and A. V. Lusnikov in []. They are also applied to study a mathematical model for spreading of an infectious disease investigated by P. Takac in [], [].

A remark to the paper “On condensing discrete dynamical systems”

Valter Šeda — 2001

Mathematica Bohemica

In the paper a new proof of Lemma 11 in the above-mentioned paper is given. Its original proof was based on Theorem 3 which has been shown to be incorrect.

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On a Fučík problem

Metódy funkcionálnej analýzy v numerickej matematike

On some properties of a solution of the Schwarzian differential equation

Antitone operators and ordinary differential equations

Professor Michal Greguš sexagenarian

On nonlinear differential systems with deviating arguments

Nonoscillatory solutions of differential equations with deviating argument

O pojme inverznej analytickej funkcie

Some remarks to coincidence theory

On a class of linear $n$ -th order differential equations

Surjectivity of an operator

Some fixed point theorems for multivalued mappings

On a Boundary Value Problem for a Nonlinear Second-Order Differential Equation

A class of differential equations similar to linear equations

Profesor Marko Švec šesťdesiatročný

Professor Michal Greguš septuagenarian

Professor Marko Švec, octogenarian

Generalized boundary value problems with linear growth

On condensing discrete dynamical systems

A remark to the paper “On condensing discrete dynamical systems”