| Abstract |
In this study, we consider the nonlinear second order differential equation
(1)
Let and be positive continuous function.
The function is called a solution of the equation (1), if it together with is continuously differentiable and satisfies the equation (1) for all .
When the equation (1) becomes the Sturm-Liouville linear equation
(2)
Currently there are a lot of studies of qualitative properties of equations (1), (2) such as conjugate, disconjugate in a given interval and the oscillatory, nonoscillation of equations (1) and (2) for . When nonnegative, these properties of the equations (1) and (2), were studied well enough [1]. In this paper we investigate the questions of conjugacy, oscillatory of the equations (1) and (2) when the function changes sign.
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