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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Article

Lyapunov Inequality For Dynamic Equation With Order n +1 On Time Scales

pp. 95–101Vol. 13Issue 1January 2015DOI: 10.1080/1726037X.2015.1035026XML
Received:
28 Jan 2015
Accepted:
15 Mar 2015
Published Online:
02 Jun 2015
Article type:
Article
Language:
EN
Article no.:
1726037X.2015.1035026
Pages:
95–101

Abstract

In this paper, we establish a Lyapunov-type inequality for the higher order dynamic equation undefinedon an arbitrary time scale 𝕋 where n is a positive integer, α ≥ 1 is the quotient of two odd positive integers and undefinedwith aundefined ε Cundefined(𝕋, (0,∞)) (1 ≤ k≤ n) and p ε Cundefined(𝕋,ℝ).

Keywords

Subject Classifications

: 34K1139A1039A99

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