Some characterizations of q-factorial functions.
Some characterizations of q-factorial functions.
Some complements of Cauchy's inequality on time scales.
Some discrete Poincaré-type inequalities.
Some new discrete nonlinear delay inequalities and application to discrete delay equations.
Some notes on oscillation of two-dimensional system of difference equations
Oscillatory properties of solutions to the system of first-order linear difference equations are studied. It can be regarded as a discrete analogy of the linear Hamiltonian system of differential equations. We establish some new conditions, which provide oscillation of the considered system. Obtained results extend and improve, in certain sense, results presented in Opluštil (2011).
Some open problems on the solutions of the delay difference equation .
Some Perturbation Results On Multivalued Difference Equations
Some properties of solutions of a class of nonlinear difference equations
Some roughness results concerning reducibility for linear difference equations.
Special solutions of linear difference equations with infinite delay
For the difference equation ,where is a Banach space, is a parameter and is a linear, bounded operator. A sufficient condition for the existence of a unique special solution passing through the point is proved. This special solution converges to the solution of the equation (0) as .
Spectral deformations of Jacobi operators.
Spectral properties of the monodromy matrix for Harper equation
Spektraltheorie linksdefiniter Differenzengleichungssysteme.
Stability and global attractivity for a class of nonlinear delay difference equations.
Stability and local error of difference methods for the solution of the ordinary differential equation of the first order
Stability of linear dynamic systems on time scales.
Stability of nonlinear -difference systems with fractional orders
In the paper we study the subject of stability of systems with -differences of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with fractional orders. The equivalent descriptions of fractional -difference systems are presented. The sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with -orders.
Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay.
Stability problem of some nonlinear difference equations.