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Oscillation of Functional Differential Equations

In: Oscillation Theory for Difference and Functional Differential Equations

Author

Listed:
  • Ravi P. Agarwal

    (National University of Singapore, Department of Mathematics)

  • Said R. Grace

    (Cairo University, Department of Engineering Mathematics)

  • Donal O’Regan

    (National University of Ireland, Department of Mathematics)

Abstract

The purpose of this chapter is to present some recent results pertaining to the oscillation of n—th order functional differential equations with deviating arguments, and functional differential equations of neutral type. We shall mainly deal with integral criteria guaranteeing oscillation. While several results of this chapter were originally formulated for more complicated and/or more general differential equations, we discuss here a simplified version which makes the oscillation theory of functional differential equations transparent. We remark here that because of the large number of oscillation theorems presented in this chapter it was impossible to prove all these results. Instead we selected the proofs of only those results which we thought would best illustrate the various strategies and ideas involved.

Suggested Citation

  • Ravi P. Agarwal & Said R. Grace & Donal O’Regan, 2000. "Oscillation of Functional Differential Equations," Springer Books, in: Oscillation Theory for Difference and Functional Differential Equations, chapter 0, pages 166-317, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-9401-1_2
    DOI: 10.1007/978-94-015-9401-1_2
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