Time-scale integral inequalities.
To the theory of linear difference equations
To the theory of linear difference equations with constant coefficients
Transfer of boundary conditions for difference equations
It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems.
Transformace některých nelineárních diferenčních rovnic na nehomogenní lineární diferenční rovnici 1. řádu
Transformations and oscillatory properties of linear Hamiltonian systems -- continuous versus discret
Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications
In this paper, we are concerned with the existence of traveling waves in a class of delayed higher dimensional lattice differential systems with competitive interactions. Due to the lack of quasimonotonicity for reaction terms, we use the cross iterative and Schauder's fixed-point theorem to prove the existence of traveling wave solutions. We apply our results to delayed higher-dimensional lattice reaction-diffusion competitive system.
Triple positive solutions of fourth-order four-point boundary value problems for -Laplacian dynamic equations on time scales.
Twin positive solutions of a nonlinear -point boundary value problem for third-order -Laplacian dynamic equations on time scales.
Two new algorithms for discrete boundary value problems.