Oscillation criteria for differential equations of second order

Year, pages: 2009, 433 - 454

In this article, we give sufficient condition in the form of integral inequalities to establish the oscillatory nature of non linear homogeneous differential equations of the form

$$ (r(t)y')' + q(t)y' + p(t)f(y)g(y') = 0,    t ≥ t₀, $$

where $r, q, p, f$ and $g$ are given data. We do this by separating the two cases $f$ is monotonous and non monotonous.

Nandakumaran, A., Panigrahi, S. 2009. Oscillation criteria for differential equations of second order. In Mathematica Slovaca, vol. 59, no.4, pp. 433-454. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0138-z

Nandakumaran, A., Panigrahi, S. (2009). Oscillation criteria for differential equations of second order. Mathematica Slovaca, 59(4), 433-454. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0138-z