Bounded solutions of dynamic equations on combined time scales

In: Tatra Mountains Mathematical Publications, vol. 38, no. 4

Barbora Václavíková

Detaily:

Rok, strany: 2007, 273 - 281

Kľúčové slová:

time scale, asymptotic behavior of solution, retract, retraction

Full text

O článku:

In this paper we discuss asymptotic behavior of solutions of a dynamic equation

$$ u^Δ(t)=f(t,u(t)), $$

where $f:mathbb{T}×mathbb{R} ightarrowmathbb{R}$ and $mathbb{T}$ is a combined time scale with zero and nonzero graininess function. We formulate a principle which gives the guarantee that the graph of at least one solution of above mentioned equation stays in the prescribed domain. This principle uses the idea of the retraction method.

Ako citovať:

ISO 690:

Václavíková, B. 2007. Bounded solutions of dynamic equations on combined time scales. In Tatra Mountains Mathematical Publications, vol. 38, no.4, pp. 273-281. 1210-3195.

APA:

Václavíková, B. (2007). Bounded solutions of dynamic equations on combined time scales. Tatra Mountains Mathematical Publications, 38(4), 273-281. 1210-3195.