Miscellaneous Topics

Ravi P. Agarwal, Said R. Grace and Donal O’Regan
Additional contact information
Ravi P. Agarwal: Florida Institute of Technology
Said R. Grace: Cairo University
Donal O’Regan: National University of Ireland

Chapter Chapter 9 in Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations, 2002, pp 625-655 from Springer

Abstract: 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.

Keywords: Nonlinear Differential Equation; Order Differential Equation; Oscillatory Solution; Nonoscillatory Solution; Limit Circle (search for similar items in EconPapers)
Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2515-6_9

Ordering information: This item can be ordered from
http://www.springer.com/9789401725156

DOI: 10.1007/978-94-017-2515-6_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().