On a class of fourth order linear recurrence equations.
On a construction of weak solutions to non-stationary Stokes type equations by minimizing variational functionals and their regularity
In this paper, we prove that the regularity property, in the sense of Gehring-Giaquinta-Modica, holds for weak solutions to non-stationary Stokes type equations. For the construction of solutions, Rothe's scheme is adopted by way of introducing variational functionals and of making use of their minimizers. Local estimates are carried out for time-discrete approximate solutions to achieve the higher integrability. These estimates for gradients do not depend on approximation.
On a generalized discrete ratio-dependent predator-prey system.
On a new class of structured matrices related to the discrete skew-self-adjoint Dirac systems.
On an inequality of Kolmogorov type for a second-order difference expression.
On asymptotics of discrete Mittag-Leffler function
The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters). The aim of the paper is to introduce a discrete analogue of this function as a solution of a certain two-term linear fractional difference equation (involving both the Riemann-Liouville as well as the Caputo fractional -difference operators) and describe its...
On boundary value problems for second-order discrete inclusions.
On difference linear periodic systems II. Non-homogeneous case
This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.
On discrete analogues of nonlinear implicit differential equations.
On global exponential stability of discrete-time Hopfield neural networks with variable delays.
On homoclinic solutions of a semilinear -Laplacian difference equation with periodic coefficients.
On lower and upper solutions without ordering on time scales.
On lP solutions of discrete Volterra equations.
On lP solutions of discrete Volterra equations. (Summary).
On Lyapunov-type inequalities for two-dimensional nonlinear partial systems.
On multidimensional Ostrowski and Grüss type finite difference inequalities.
On nonautonomous discrete dynamical systems driven by means.
On nonlinear boundary value problems for functional difference equations with -Laplacian.
On non-point invertible transformations of difference and differential-difference equations.
On nonresonance problems of second-order difference systems.