On oscillatory fourth order nonlinear neutral differential equations I

Year, pages: 2004, 389 - 410

In this paper, oscillatory and asymptotic property of solutions of a class of fourth order neutral differential equations

$$ (r(t) (y(t)+p(t) y(t-τ))'')'' + q(t) G (y(t - σ )) = f(t) \tag"$(*)$" $$

and

$$ (r(t)(y(t)+p(t)y(t-τ))'')'' + q(t) G (y(t - σ)) = 0 $$

are studied under the assumption $\int₀^∞ \frac t{r(t)} d t<∞$ for various ranges of $p(t)$. Sufficient conditions are obtained for the existence of bounded positive solutions of $(*)$.

Parhi, N., Tripathy, . 2004. On oscillatory fourth order nonlinear neutral differential equations I. In Mathematica Slovaca, vol. 54, no.4, pp. 389-410. 0139-9918.

Parhi, N., Tripathy, . (2004). On oscillatory fourth order nonlinear neutral differential equations I. Mathematica Slovaca, 54(4), 389-410. 0139-9918.