On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations
Naito, Manabu
Archivum Mathematicum, Tome 043 (2007), p. 39-53 / Harvested from Czech Digital Mathematics Library
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The higher-order nonlinear ordinary differential equation \[ x^{(n)} + \lambda p(t)f(x) = 0\,, \quad t \ge a\,, \] is considered and the problem of counting the number of zeros of bounded nonoscillatory solutions $x(t;\lambda )$ satisfying $\lim _{t\rightarrow \infty }x(t;\lambda ) = 1$ is studied. The results can be applied to a singular eigenvalue problem.

Publié le : 2007-01-01
Classification:  34B40,  34C10 
@article{108048,
     author = {Manabu Naito},
     title = {On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations},
     journal = {Archivum Mathematicum},
     volume = {043},
     year = {2007},
     pages = {39-53},
     zbl = {1164.34014},
     mrnumber = {2310123},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108048}
}

Naito, Manabu. On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations. Archivum Mathematicum, Tome 043 (2007) pp. 39-53. http://gdmltest.u-ga.fr/item/108048/

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