Keywords: Nehari-type oscillation criteria; conjugate points; self-adjoint equation; principal solution
@article{CMUC_1991_32_3_a6,
author = {Do\v{s}l\'y, Ond\v{r}ej and Fiedler, Frank},
title = {A remark on {Nehari-type} oscillation criteria for self-adjoint linear differential equations},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {447--462},
year = {1991},
volume = {32},
number = {3},
mrnumber = {1159793},
zbl = {0751.34017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a6/}
}
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 SP - 447 EP - 462 VL - 32 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a6/ LA - en ID - CMUC_1991_32_3_a6 ER -
%0 Journal Article %A Došlý, Ondřej %A Fiedler, Frank %T A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations %J Commentationes Mathematicae Universitatis Carolinae %D 1991 %P 447-462 %V 32 %N 3 %U http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a6/ %G en %F CMUC_1991_32_3_a6
Došlý, Ondřej; Fiedler, Frank. A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 447-462. http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a6/
[1] Coppel W.A.: Disconjugacy. Lectures Notes in Math. No. 220, Springer Verlag, Berlin-Heidelberg, 1971. | MR | Zbl
[2] Došlý O.: The existence of conjugate points for self-adjoint linear differential equations. Proc. Roy. Soc. Edinburgh 112A, (1989), 73-85. | MR
[3] Došlý O.: Oscillation criteria for self-adjoint linear differential equations. submitted to Diff. Integral Equations.
[4] Fiedler F.: Hinreichende Oszillationkriterien für gewöhnliche Differentialoperatoren höher Ordnung. Math. Nachr. 96 (1980), 35-48. | MR
[5] Fiedler F.: Oszillationkriterien vom Nehari-Typ für gewöhnliche Differentialoperatoren vierter and sechster Ordnung. Beiträge Anal. 18 (1981), 113-132. | MR
[6] Fiedler F.: Oscillation criteria for a class of $2n$-order ordinary differential operators. J. Diff. Equations 42 (1981), 155-185. | MR | Zbl
[7] Fiedler F.: Oscillation criteria for a special class of $2n$-order ordinary differential equations. Math. Nachr. 131 (1987), 205-218. | MR | Zbl
[8] Glazman I.M.: Direct Methods of Qualitative Spectral Analysis of Singular Differential operators. Davey, Jerusalem, 1965. | MR | Zbl
[9] Lewis R.T.: Oscillation and nonoscillation criteria for some self-adjoint even order linear differential operators. Pacific J. Math. 51 (1974), 221-234. | MR | Zbl
[10] Müller-Pfeiffer E.: Oscillation criteria of Nehari-type for Schrödinger equation. Math. Nachr. 96 (1980), 185-194. | MR
[11] Nehari Z.: Oscillation criteria for second order linear differential equations. Trans. Amer. Math. Soc. 85 (1957), 428-445. | MR | Zbl