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Miscellaneous Topics

In: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations

Author

Listed:
  • Ravi P. Agarwal

    (Florida Institute of Technology)

  • Said R. Grace

    (Cairo University)

  • Donal O’Regan

    (National University of Ireland)

Abstract

This chapter contains some special results. In Section 9.1, we shall extend the Sturm-Picone theorem, obtain nonoscillation theorems for perturbed second order nonlinear differential equations, and present a nonlinear Picone type identity to enable us to prove some Sturm-Picone type comparison theorems for nonlinear equations. Section 9.2 is devoted to the study of nonoscillatory solutions of forced differential equations of second order. In Section 9.3 we shall present some limit cycle criteria and discuss its related properties for nonlinear second order differential equations. Finally, in Section 9.4 we shall present some properties of solutions of very general second order differential equations.

Suggested Citation

  • Ravi P. Agarwal & Said R. Grace & Donal O’Regan, 2002. "Miscellaneous Topics," Springer Books, in: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations, chapter 0, pages 625-655, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2515-6_9
    DOI: 10.1007/978-94-017-2515-6_9
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