The direct Lyapunov method for an almost periodic difference system on a compactum.
The discrete version of Ostrowski's inequality in normed linear spaces.
The formulation of second-order boundary value problems on time scales.
The Green formula and HP Spaces on trees.
The trichotomy for difference systems and applications
The lattice structure of connection preserving deformations for -Painlevé equations I.
The stability analysis of a discretized pantograph equation
The paper deals with a difference equation arising from the scalar pantograph equation via the backward Euler discretization. A case when the solution tends to zero but after reaching a certain index it loses this tendency is discussed. We analyse this problem and estimate the value of such an index. Furthermore, we show that the utilized proof technique enables us to investigate some other numerical formulae, too.
Three positive solutions for -Laplacian functional dynamic equations on time scales.
Three solutions for a discrete nonlinear Neumann problem involving the -Laplacian.
Three solutions to Dirichlet boundary value problems for -Laplacian difference equations.
Three solutions to discrete anisotropic problems with two parameters
In this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.
Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem.
To the theory of linear difference equations
Total stability in nonlinear discrete Volterra equations with unbounded delay.
Triple solutions for a higher-order difference equation.
Twin periodic solutions of predator-prey dynamic system on time scales.
Two classical periodic problems on time scales.
Two periodic solutions of neutral difference equations modelling physiological processes.
Ueber die Function W (...) für singuläre Werthe ihrer Parameter.
Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum
Sufficient conditions for the absence of absolutely continuous spectrum for unbounded Jacobi operators are given. A class of unbounded Jacobi operators with purely singular continuous spectrum is constructed as well.