Šarkovského věta a diferenciální rovnice
Šarkovského věta a diferenciální rovnice. II
Scale-invariant equal sacrifice in taxation and conditional functional equations.
Secant tree calculus
A true Tree Calculus is being developed to make a joint study of the two statistics “eoc” (end of minimal chain) and “pom” (parent of maximum leaf) on the set of secant trees. Their joint distribution restricted to the set {eoc-pom ≤ 1} is shown to satisfy two partial difference equation systems, to be symmetric and to be expressed in the form of an explicit three-variable generating function.
Sechzehntes Internationales Symposium über Funktionalgleichungen.
Second order difference inclusions of monotone type
The existence of anti-periodic solutions is studied for a second order difference inclusion associated with a maximal monotone operator in Hilbert spaces. It is the discrete analogue of a well-studied class of differential equations.
Second order linear difference equations over discrete Hardy fields
We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations.
Second order linear -difference equations: nonoscillation and asymptotics
The paper can be understood as a completion of the -Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear -difference equations. The -Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice with . In addition to recalling the existing concepts of -regular variation and -rapid variation we introduce -regularly bounded functions and prove many related properties. The -Karamata theory is then...
Second-order -point eigenvalue problems on time scales.
Segments of Exponential Series and Regularly Varying Sequences
Self-adjoint boundary-value problems on time-scales.
Separation by monotonic functions.
Separation of convex polyhedral sets with column parameters
Separation is a famous principle and separation properties are important for optimization theory and various applications. In practice, input data are rarely known exactly and it is advisable to deal with parameters. In this article, we are concerned with the basic characteristics (existence, description, stability etc.) of separating hyperplanes of two convex polyhedral sets depending on parameters. We study the case, when parameters are situated in one column of the constraint matrix from the...
Separation via quadratic functions.
Separation via quadratic functions. (Summary).
Séries de -factorielles, opérateurs aux -différences et confluence
Sesquilinear-orthogonally quadratic mappings.
Sets of -recurrence but not -recurrence
For every , we produce a set of integers which is -recurrent but not -recurrent. This extends a result of Furstenberg who produced a -recurrent set which is not -recurrent. We discuss a similar result for convergence of multiple ergodic averages. We also point out a combinatorial consequence related to Szemerédi’s theorem.
Several existence theorems of nonlinear -point BVP for an increasing homeomorphism and homomorphism on time scales.
S-hermitian boundary-value problems for difference systems.