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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

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
oscillation, nonoscillation, nonlinear neutral terms, discrete Krasnostlskii's fixed point theorem

한국수학교육학회지시리즈B:순수및응용수학