Classical results of the Hartman–Wintner type lead to the asymptotic integration of certain types of linear, non-autonomous systems of differential or difference equations. Here, we show how to extend such results to linear dynamic equations on time scales having bounded graininess, using both averaged as well as pointwise dichotomy conditions
The theory of time scales was introduced by Stefan Hilger in his 1988 PhD dissertation, [18]. The st...
AbstractThe aim of this paper is to generalize the classical theorems on averaging of differential e...
We extend the theory of differential equations with piecewise continuous argument to general time sc...
Classical results of the Hartman–Wintner type lead to the asymptotic integration of ...
As a way to unify a discussion of many kinds of problems for equations in the contionous and discret...
We consider linear dynamic systems on time scales, which contain as special cases linear differentia...
Until recently, mathematical models of natural occurrences were either exclusively continuous or dis...
Time scales have been introduced in order to unify the theories of differential and difference equat...
AbstractIn this paper, we define the exponential dichotomy of linear dynamic equations on time scale...
AbstractThe Hartman-Wintner theorem on asymptotic integration is established for a certain class of ...
We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a li...
We consider first and second order linear dynamic equations on a time scale. Such equations contain ...
AbstractNecessary and sufficient criteria are established for the existence of exponential dichotomi...
We study the asymptotic behavior of nonoscillatory solutions of nonlinear dynamic equations on time ...
We give conditions on the coefficient matrix for certain perturbed linear dynamic equations on time ...
The theory of time scales was introduced by Stefan Hilger in his 1988 PhD dissertation, [18]. The st...
AbstractThe aim of this paper is to generalize the classical theorems on averaging of differential e...
We extend the theory of differential equations with piecewise continuous argument to general time sc...
Classical results of the Hartman–Wintner type lead to the asymptotic integration of ...
As a way to unify a discussion of many kinds of problems for equations in the contionous and discret...
We consider linear dynamic systems on time scales, which contain as special cases linear differentia...
Until recently, mathematical models of natural occurrences were either exclusively continuous or dis...
Time scales have been introduced in order to unify the theories of differential and difference equat...
AbstractIn this paper, we define the exponential dichotomy of linear dynamic equations on time scale...
AbstractThe Hartman-Wintner theorem on asymptotic integration is established for a certain class of ...
We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a li...
We consider first and second order linear dynamic equations on a time scale. Such equations contain ...
AbstractNecessary and sufficient criteria are established for the existence of exponential dichotomi...
We study the asymptotic behavior of nonoscillatory solutions of nonlinear dynamic equations on time ...
We give conditions on the coefficient matrix for certain perturbed linear dynamic equations on time ...
The theory of time scales was introduced by Stefan Hilger in his 1988 PhD dissertation, [18]. The st...
AbstractThe aim of this paper is to generalize the classical theorems on averaging of differential e...
We extend the theory of differential equations with piecewise continuous argument to general time sc...
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