OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMS

  • 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)
  • Published : 2007.05.31

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.