Discrete inequalities of Wirtinger's type for higher differences.
Discrete isothermic surfaces.
Discrete singular functionals
In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.
Discrete spectra criteria for singular difference operators
We investigate oscillation and spectral properties (sufficient conditions for discreteness and boundedness below of the spectrum) of difference operators B(y)n+k = (-1)nwk n (pk n yk).
Discretely normed Abelian groups.
Discretized representations of harmonic variables by bilateral Jacobi operators.
Dispersions for linear differential equations of arbitrary order
For linear differential equations of the second order in the Jacobi form O. Borvka introduced a notion of dispersion. Here we generalize this notion to certain classes of linear differential equations of arbitrary order. Connection with Abel’s functional equation is derived. Relations between asymptotic behaviour of solutions of these equations and distribution of zeros of their solutions are also investigated.
Distributed delayed competing predators
Distribution of zeros and shared values of difference operators
We investigate the distribution of zeros and shared values of the difference operator on meromorphic functions. In particular, we show that if f is a transcendental meromorphic function of finite order with a small number of poles, c is a non-zero complex constant such that for n ≥ 2, and a is a small function with respect to f, then equals a (≠ 0,∞) at infinitely many points. Uniqueness of difference polynomials with the same 1-points or fixed points is also proved.
Distributional solutions in information theory, I
Distributional solutions in information theory, II
Do nonsingular globally bounded positon solutions exist?
Dunkl operators
Dynamical behavior of a third-order rational difference equation.
Dynamical properties for a class of fourth-order nonlinear difference equations.
Dynamical properties in a fourth-order nonlinear difference equation.
Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls.
Dynamics for nonlinear difference equation .
Dynamics in a discrete predator-prey system with infected prey
In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
Dynamics of a certain sequence of powers.