Geodesic
The nonlinear limit-point/limit-circle problem for higher order equations
Archivum mathematicum, Tome 34 (1998) no. 1, pp. 13-22

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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.
Classification : 34B15, 34C05, 34C10, 34C15
Keywords: Higher order equations; nonlinear limit-point; nonlinear limit-circle 
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     author = {Bartu\v{s}ek, Miroslav and Do\v{s}l\'a, Zuzana and Graef, John R.},
     title = {The nonlinear limit-point/limit-circle problem for higher order equations},
     journal = {Archivum mathematicum},
     pages = {13--22},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {1998},
     mrnumber = {1629644},
     zbl = {0914.34023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a2/}
}
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Bartušek, Miroslav; Došlá, Zuzana; Graef, John R. The nonlinear limit-point/limit-circle problem for higher order equations. Archivum mathematicum, Tome 34 (1998) no. 1, pp. 13-22. http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a2/