Oscillation and Non-Oscillation Theorems for a Class of Second Order Quasilinear Difference Equations | Zendy

E. Thandapani | Zendy; R. Arul | Zendy

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Oscillation and Non-Oscillation Theorems for a Class of Second Order Quasilinear Difference Equations

Author(s) -

E. Thandapani,

R. Arul

Publication year - 1997

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/789

Subject(s) - oscillation (cell signaling) , class (philosophy) , order (exchange) , mathematics , mathematical analysis , physics , computer science , economics , genetics , finance , artificial intelligence , biology

In this paper there are established necesssary and sufficient conditions for the second order quasilinear difference equation L(p,cp(iyn)) + f(n,y,,+ i ) = 0 (n E No) to have various types of non-oscillatory solutions. In addition, in the case that the equation is either strongly superlinear or strongly sublinear, there are established necessary and sufficient conditions for all solutions to oscillate.

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