“…Remark 2 Equations (4) admit oscillatory solutions, see [3]. Proof Note that under the conditions of Theorem 1 the solutions y(t) can have only zeros, say t * ν , ν = 1, 2, ..., N (t 1 , t 2 , y), that satisfy y (t * ν ) = 0.…”
In this paper we give a new method for studying oscillations of large classes of nonlinear ordinary differential equations involving the Riccati equation, the Schrödinger and the Painlevé type equations. Some application are given as well.
“…Remark 2 Equations (4) admit oscillatory solutions, see [3]. Proof Note that under the conditions of Theorem 1 the solutions y(t) can have only zeros, say t * ν , ν = 1, 2, ..., N (t 1 , t 2 , y), that satisfy y (t * ν ) = 0.…”
In this paper we give a new method for studying oscillations of large classes of nonlinear ordinary differential equations involving the Riccati equation, the Schrödinger and the Painlevé type equations. Some application are given as well.
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