Oscillation Second Order Nonlinear Differential Equation
Issue Date:
2008
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 34, No 2, (2008), 395p-414p
Abstract:
Some new criteria for the oscillation of all solutions of second order differential equations of the form
(d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0,
and the more general equation (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+p(t)φ(g(x),r(t) ψ(x)|dx/dt|α−2 (dx/dt))+q(t)g(x)=0,
are established. our results generalize and extend some known oscillation criterain in the literature.