Geodesic
An integral condition of oscillation for equation $y'''+p(t)y'+q(t)y=0$ with nonnegative coefficients
Archivum mathematicum, Tome 31 (1995) no. 2, pp. 155-161 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Our aim in this paper is to obtain a new oscillation criterion for equation \[ y^{\prime \prime \prime }+ p(t)y^{\prime } + q(t)y = 0 \] with a nonnegative coefficients which extends and improves some oscillation criteria for this equation. In the special case of equation (*), namely, for equation $ y^{\prime \prime \prime }+ q(t)y = 0$, our results solve the open question of $Chanturiya$.
Our aim in this paper is to obtain a new oscillation criterion for equation \[ y^{\prime \prime \prime }+ p(t)y^{\prime } + q(t)y = 0 \] with a nonnegative coefficients which extends and improves some oscillation criteria for this equation. In the special case of equation (*), namely, for equation $ y^{\prime \prime \prime }+ q(t)y = 0$, our results solve the open question of $Chanturiya$.
Classification : 34C10, 34C11
Keywords: nonoscillatory and oscillatory solution; second order Riccati equation 
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Škerlík, Anton. An integral condition of oscillation for equation $y'''+p(t)y'+q(t)y=0$ with nonnegative coefficients. Archivum mathematicum, Tome 31 (1995) no. 2, pp. 155-161. http://geodesic.mathdoc.fr/item/ARM_1995_31_2_a6/

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