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Oscillation of Difference Equations

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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.

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© 2000 Springer Science+Business Media Dordrecht

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Agarwal, R.P., Grace, S.R., O’Regan, D. (2000). Oscillation of Difference Equations. In: Oscillation Theory for Difference and Functional Differential Equations. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9401-1_1

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  • DOI: https://doi.org/10.1007/978-94-015-9401-1_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5447-0

  • Online ISBN: 978-94-015-9401-1

  • eBook Packages: Springer Book Archive

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