On the oscillation of certain third-order difference equations | Zendy

Ravi P. Agarwal | Zendy; Said R. Grace | Zendy; Donal O’Regan | Zendy

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On the oscillation of certain third-order difference equations

Author(s) -

Ravi P. Agarwal,

Said R. Grace,

Donal O’Regan

Publication year - 2005

Publication title -

advances in difference equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.67

H-Index - 51

eISSN - 1687-1847

pISSN - 1687-1839

DOI - 10.1155/ade.2005.345

Subject(s) - mathematics , oscillation (cell signaling) , partial differential equation , ordinary differential equation , order (exchange) , oscillation theory , mathematical analysis , differential equation , differential algebraic equation , chemistry , economics , biochemistry , finance

We establish some new criteria for the oscillation of third-order difference equations of the form ÃŽÂ”((1/a2(n))(ÃŽÂ”(1/a1(n))(ÃŽÂ”x(n))ÃŽÂ±1)ÃŽÂ±2)+ÃŽÂ´q(n)f(x[g(n)])=0, where ÃŽÂ” is the forward difference operator defined by ÃŽÂ”x(n)=x(n+1)Ã¢ÂˆÂ’x(n)

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