Open AccessOn 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 Δ((1/a2(n))(Δ(1/a1(n))(Δx(n))α1)α2)+δq(n)f(x[g(n)])=0, where Δ is the forward difference operator defined by Δx(n)=x(n+1)−x(n)