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Now showing items 1-10 of 12

#### Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

(Hindawi, 2012-01-03)

It is proved that, for the asymptotic convergence of all solutions, the existence of
an increasing and asymptotically convergent solution is sufficient. Therefore, the main
attention is paid to the criteria for the existence ...

#### Discrete matrix delayed exponential for two delays and its property

(Springer Nature, 2013-06-13)

In recent papers, a discrete matrix delayed exponential for a single delay was defined and its main property connected with the solution of linear discrete systems with a single delay was proved. In the present paper, a ...

#### Bounded solutions of delay dynamic equations on time scales

(Springer Nature, 2012-10-24)

In this paper we discuss the asymptotic behavior of solutions of a delay dynamic equation $$y^{\Delta}(t)=f(t,y(\tau(t)))$$ where $f\colon\mathbb{T}\times\mathbb{R}\rightarrow\mathbb{R}$, \tau\colon\T\rightarrow \T$ is a ...

#### Stabilization of Lure-type Nonlinear Control Systems by Lyapunov-Krasovskii Functionals

(Springer Nature, 2012-10-24)

The paper deals with the stabilization problem of Lure-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form ...

#### An efficient new perturbative Laplace method for space-time fractional telegraph equations

(Springer Nature, 2012-11-27)

In this paper, we propose a new technique for solving space-time fractional telegraph equations. This method isbased on perturbation theory and the Laplace transformation.

#### On a delay population model with quadratic nonlinearity

(Springer Nature, 2012-12-28)

In this paper, a nonlinear delay differential equation with quadratic nonlinearity is investigated. It is proved that the positive equilibrium is globally asymptotically stable without any further limitations on parameters ...

#### Explicit general solution of planar linear discrete systems with constant coefficients and weak delays

(Springer Nature, 2013-03-06)

In this paper, planar linear discrete systems with constant coefficients and two delays $$ x(k+1)=Ax(k)+Bx(k-m)+Cx(k-n) $$ are considered where $k\in\bZ_0^{\infty}:=\{0,1,\dots,\infty\}$, $x\colon \bZ_0^{\infty}\to\mathbb{R}^2$, ...

#### Modeling of applied problems by stochastic systems and their analysis using the moment equations

(Springer Nature, 2013-10-09)

The paper deals with systems of linear differential equations with coefficients depending on the Markov process. Equations for particular density and the moment equations for given systems are derived and used in the ...

#### Exponential stability of perturbed linear discrete systems

(Springer, 2016-01-29)

The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of ...

#### Bounded and unbounded non-oscillatory solutions of a four-dimensional nonlinear neutral difference system

(Springer Nature, 2015-10-15)

The paper is concerned with a four-dimensional nonlinear difference system with
delayed arguments where the first equation of the system is of a neutral type.
A classification of non-oscillatory solutions is given and ...