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 -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
It is shown that for a given system of linearly independent linear continuous functionals , , the set of all -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 -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
In the paper the fundamental properties of discrete dynamical systems generated by an -condensing mapping ( 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”
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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