Oscillation of Difference Equations

Ravi P. Agarwal, Said R. Grace and Donal O’Regan
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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

Chapter Chapter 1 in Oscillation Theory for Difference and Functional Differential Equations, 2000, pp 1-165 from Springer

Abstract: Abstract The theory of difference equations (recurrence relations), the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last few years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs [2,25,28,51,129, 136,159,167,201,202,214,215,266]. In particular, oscillation of solutions of difference equations has attracted many researchers. The purpose of this chapter is to offer several new fundamental concepts in this fast developing area of research. These concepts are explained through examples and supported by interesting results.

Keywords: Positive Integer; Difference Equation; Oscillatory Behavior; Real Vector Space; Oscillatory Solution (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-94-015-9401-1_1

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