𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Oscillation criteria for two-dimensional dynamic systems on time scales

✍ Scribed by Youjun Xu; Zhiting Xu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
625 KB
Volume
225
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


We establish some oscillation criteria for the two-dimensional dynamic system

on a time scale T. Our results not only unify the oscillation of two-dimensional differential systems and difference systems, but include the oscillation results for differential systems and provide new oscillation criteria for difference systems. Several examples are considered to illustrate the main results.


📜 SIMILAR VOLUMES


Stability criteria for impulsive systems
✍ Yajun Ma; Jitao Sun 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 146 KB

In this paper we study stability of impulsive system on time scales. By using comparison method, Lyapunov function and analysis method, the asymptotic stability criteria for system with impulses at fixed times and impulses at variable times on time scales are obtained, respectively. An example is pr

Ważewski’s method for systems of dynamic
✍ Josef Diblík; Miroslava Růžičková; Zdeněk Šmarda 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 287 KB

In the paper the Ważewski's method, which is well-known for ordinary differential equations, is developed for a system of dynamic equations on an arbitrary time scale. Sufficient conditions guaranteeing the existence of at least one solution with a graph staying in a previously defined open set are