Oscillation of third order nonlinear functional dynamic equations on time scales

It is the purpose of this paper to give oscillation criteria for the third order nonlinear functional dynamic equation on a time scale , where γ is the quotient of odd positive integers, a and r are positive rd -continuous functions on , and the function g : satisfies lim t →∞ g ( t ) = ∞ and f ∈ C...

Full description

Saved in:
Bibliographic Details
Published in:Differential equations and dynamical systems 2010-04, Vol.18 (1-2), p.199-227
Main Authors: Erbe, Lynn, Hassan, Taher S., Peterson, Allan
Format: Article
Language:English
Subjects:
Computer Science
Engineering
Mathematics
Mathematics and Statistics
Original Research
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:It is the purpose of this paper to give oscillation criteria for the third order nonlinear functional dynamic equation on a time scale , where γ is the quotient of odd positive integers, a and r are positive rd -continuous functions on , and the function g : satisfies lim t →∞ g ( t ) = ∞ and f ∈ C . Our results are new for third order delay dynamic equations and extend many known results for oscillation of third order dynamic equations. Some examples are given to illustrate the main results.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-010-0005-y