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Keywords:
Higher order equations; nonlinear limit-point; nonlinear limit-circle
Higher order equations; nonlinear limit-point; nonlinear limit-circle
Summary:
We describe the nonlinear limit-point/limit-circle problem for the $n$-th order differential equation \[ y^{(n)} + r(t)f(y,y^{\prime }, \dots , y^{(n-1)}) = 0. \] The results are then applied to higher order linear and nonlinear equations. A discussion of fourth order equations is included, and some directions for further research are indicated.
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