OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMS
OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.2, pp.49-62
Zhang, Zhenguo
(COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE, HEBEI NORMAL, UNIVERSITY, INFORMATION COLLEGE, ZHEJIANG OCEAN UNIVERSITY)
Yang, Aijun
(COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE, HEBEI NORMAL UNIVERSITY)
Di, Congna
(COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE, HEBEI NORMAL UNIVERSITY)
Zhang, Zhenguo,
Yang, Aijun,
&
Di, Congna.
(2007). OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMS. 한국수학교육학회지시리즈B:순수및응용수학, 14(2), 49-62.
Abstract
In this paper, the oscillation and existence of nonoscillatory solutions of odd order difference equations with nonlinear neutral terms are studied respectively. Some new criteria are established. Furthermore, some examples are given to illustrate the advance of our results.
- keywords
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oscillation,
nonoscillation,
nonlinear neutral terms,
discrete Krasnostlskii's fixed point theorem