Oscillation criteria for third-order nonlinear differential equations

Year, pages: 2008, 201 - 220

In this paper, we are concerned with the oscillation properties of the third order differential equation

$$ ( b(t)([a(t)x^\prime(t) ]^\prime)^γ)^\prime +q(t)x^γ(t)=0,    γ >0. $$

Some new sufficient conditions which insure that every solution oscillates or converges to zero are established. The obtained results extend the results known in the literature for $γ =1$. Some examples are considered to illustrate our main results.

Baculíková, B., Elabbasy, E., Saker, S., Džurina, J. 2008. Oscillation criteria for third-order nonlinear differential equations. In Mathematica Slovaca, vol. 58, no.2, pp. 201-220. 0139-9918.

Baculíková, B., Elabbasy, E., Saker, S., Džurina, J. (2008). Oscillation criteria for third-order nonlinear differential equations. Mathematica Slovaca, 58(2), 201-220. 0139-9918.