A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations
Commentationes Mathematicae Universitatis Carolinae (1991)
- Volume: 32, Issue: 3, page 447-462
- ISSN: 0010-2628
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topDošlý, Ondřej, and Fiedler, Frank. "A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations." Commentationes Mathematicae Universitatis Carolinae 32.3 (1991): 447-462. <http://eudml.org/doc/247324>.
@article{Došlý1991,
abstract = {Oscillation criteria of Nehari-type for the equation $(-1)^n(x^\{\alpha \}y^\{(n)\})^\{(n)\} + q(x)y = 0$, $\alpha \in \{\mathbf \{R\}\}$, are established. These criteria impose no sign restriction on the function $q(x)$ and generalize some recent results of the second author.},
author = {Došlý, Ondřej, Fiedler, Frank},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Nehari-type oscillation criteria; conjugate points; self-adjoint equation; principal solution; self-adjoint linear differential equation; oscillatory},
language = {eng},
number = {3},
pages = {447-462},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations},
url = {http://eudml.org/doc/247324},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Došlý, Ondřej
AU - Fiedler, Frank
TI - A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 3
SP - 447
EP - 462
AB - Oscillation criteria of Nehari-type for the equation $(-1)^n(x^{\alpha }y^{(n)})^{(n)} + q(x)y = 0$, $\alpha \in {\mathbf {R}}$, are established. These criteria impose no sign restriction on the function $q(x)$ and generalize some recent results of the second author.
LA - eng
KW - Nehari-type oscillation criteria; conjugate points; self-adjoint equation; principal solution; self-adjoint linear differential equation; oscillatory
UR - http://eudml.org/doc/247324
ER -
References
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- Došlý O., Oscillation criteria for self-adjoint linear differential equations, submitted to Diff. Integral Equations.
- Fiedler F., Hinreichende Oszillationkriterien für gewöhnliche Differentialoperatoren höher Ordnung, Math. Nachr. 96 (1980), 35-48. (1980) MR0600799
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- Fiedler F., Oscillation criteria for a class of -order ordinary differential operators, J. Diff. Equations 42 (1981), 155-185. (1981) Zbl0452.34031MR0641646
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- Glazman I.M., Direct Methods of Qualitative Spectral Analysis of Singular Differential operators, Davey, Jerusalem, 1965. Zbl0143.36505MR0190800
- Lewis R.T., Oscillation and nonoscillation criteria for some self-adjoint even order linear differential operators, Pacific J. Math. 51 (1974), 221-234. (1974) Zbl0281.34027MR0350112
- Müller-Pfeiffer E., Oscillation criteria of Nehari-type for Schrödinger equation, Math. Nachr. 96 (1980), 185-194. (1980) MR0600809
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