On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations
Archivum Mathematicum (2007)
- Volume: 043, Issue: 1, page 39-53
- ISSN: 0044-8753
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topNaito, Manabu. "On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations." Archivum Mathematicum 043.1 (2007): 39-53. <http://eudml.org/doc/250165>.
@article{Naito2007,
abstract = {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.},
author = {Naito, Manabu},
journal = {Archivum Mathematicum},
keywords = {nonoscillatory solutions; zeros of solutions; singular eigenvalue problems; nonoscillatory solutions; zeros of solutions; singular eigenvalue problems},
language = {eng},
number = {1},
pages = {39-53},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations},
url = {http://eudml.org/doc/250165},
volume = {043},
year = {2007},
}
TY - JOUR
AU - Naito, Manabu
TI - On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 1
SP - 39
EP - 53
AB - 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.
LA - eng
KW - nonoscillatory solutions; zeros of solutions; singular eigenvalue problems; nonoscillatory solutions; zeros of solutions; singular eigenvalue problems
UR - http://eudml.org/doc/250165
ER -
References
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