OSCILLATION OF SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH A NONLINEAR NEUTRAL TERM ON TIME SCALES
Author(s) -
Ying Sui,
Zhenlai Han
Publication year - 2018
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2018.1811
Subject(s) - nonlinear system , term (time) , mathematics , oscillation (cell signaling) , dynamic equation , mathematical analysis , nonlinear oscillations , transformation (genetics) , control theory (sociology) , physics , computer science , control (management) , biochemistry , chemistry , genetics , quantum mechanics , artificial intelligence , gene , biology
In this article, we consider the oscillation of second order nonlinear dynamic equations with a nonlinear neutral term on time scales. Some new sufficient conditions which insure that any solution of the equation oscillates are established by means of an inequality technique and Riccati transformation. This paper improves and generalizes some known results. Several illustrative examples are given throughout.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom