International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Short Communication

On asymptotic behaviour of a second order delay differential equation

M. S. Zaki
Mathematics Department, Faculty of Science for Girls, Al Azhar University, Nasr City, Cairo – 11754, Egypt.
Email: [email protected]

  •  Accepted: 22 June 2007
  •  Published: 31 July 2007

Abstract

In this paper, the relation between the oscillatory behavior of the solutions of second order differential equation and the oscillatory behaviour of the solutions of the corresponding delay differential equation is established. Also a necessary and sufficient condition for every bounded solution of the delay differential equations to have nonooscillatory solutions is given. A.M.S.C.: 34C10, 34C11, 34K15.

 

Key words: Zeros, oscillatory and nonoscillatory solutions.

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