Disconjugacy criteria for linear vector differential equations
Disconjugate operators and related differential equations.
Diskonjugierte Differentialgleichungen 2. Ordnung im Komplexen.
Diskonjugovaná a nekritická komplexná diferenciálna rovnica
Dispersions for linear differential equations of arbitrary order
For linear differential equations of the second order in the Jacobi form O. Borvka introduced a notion of dispersion. Here we generalize this notion to certain classes of linear differential equations of arbitrary order. Connection with Abel’s functional equation is derived. Relations between asymptotic behaviour of solutions of these equations and distribution of zeros of their solutions are also investigated.
Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.
Effect of nonlinear perturbations on second order linear nonoscillatory differential equations.
Eigenvalues of the -Laplacian and disconjugacy criteria.
Eighty fifth anniversary of birthday and scientific legacy of Professor Miloš Ráb
The paper is concentrated on Professor Miloš Ráb and his contribution to the theory of oscillatory properties of solutions of second and third order linear differential equations, the theory of differential equations with complex coefficients and dynamical systems, and the theory of nonlinear second order differential equations. At the beginning, we take a brief look at the most important moments in his life. Afterwards, we describe his scientific activities on mentioned theories.
Einige Bemerkungen über die Nullstellen im zweidimensionalen Raum stetiger Funktionen
Einige Bemerkungen über eine nichtlineare Differentialgleichung dritter Ordnung
Einige Bemerkungen über Nullpunkte im bestimmten dreidimensionalen Raume stetiger Funktionen
Einige oszillatorische Eigenschaften der Lösungen der Differentialgleichung dritter Ordnung
Elliptic equations with decreasing nonlinearity I: barrier method for decreasing solutions
Elliptic equations with decreasing nonlinearity II: radial solutions for singular equations
Equilibrium configurations and small oscillations of some dynamical systems
Error estimation for perturbed systems.
Eventual disconjugacy of for every
The work characterizes when is the equation eventually disconjugate for every value of and gives an explicit necessary and sufficient integral criterion for it. For suitable integers , the eventually disconjugate (and disfocal) equation has 2-dimensional subspaces of solutions such that , , , . We characterize the “smallest” of such solutions and conjecture the shape of the “largest” one. Examples demonstrate that the estimates are sharp.
Existence and concentration of positive solutions for a quasilinear elliptic equation in .
Existence and non-existence of maximal solutions for y" = f(x, y, y') *