𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the asymptotics of solutions of delay dynamic equations on time scales

✍ Scribed by Jan Čermák; Miroslav Urbánek

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
307 KB
Volume
46
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Oscillation of third order nonlinear del
Oscillation of third order nonlinear delay dynamic equations on time scales
✍ Taher S. Hassan 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 833 KB

It is the purpose of this paper to give oscillation criteria for the third order nonlinear delay dynamic equation on a time scale T, where γ ≥ 1 is the quotient of odd positive integers, a and r are positive rd-continuous functions on T, and the so-called delay function τ : T → T satisfies τ (t) ≤

Stability for first order delay dynamic
Stability for first order delay dynamic equations on time scales
✍ Haihua Wu; Zhan Zhou 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 264 KB

In this paper, we establish some sufficient conditions for the uniform stability and the uniformly asymptotical stability of the first order delay dynamic equation where T is a time scale, p(.) is rd-continuous and positive, the delay function τ : T → (0, r ]. Our results unify the corresponding on

Oscillation of delay differential equati
Oscillation of delay differential equations on time scales
✍ B.G Zhang; Xinghua Deng 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 614 KB

Consider the following equation: where t is in a measure chain. We apply the theory of measure chains to investigate the oscillation and nonoscillation of the above equation on the basis of some well-known results. And in some sense, we show a method to unify the delay differential equation and del

Asymptotic behavior of solutions of thir
Asymptotic behavior of solutions of third-order nonlinear dynamic equations on time scales
✍ Zhi-Hua Yu; Qi-Ru Wang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 586 KB

## a b s t r a c t In this paper, we will study asymptotic behavior of solutions to third-order nonlinear dynamic equations on time scales of the form 1 By using the Riccati technique and integral averaging technique, two different types of criteria are established, one of which extends some exist