Geodesic
Spectral properties of fourth order differential operators
Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 153-168.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Necessary and sufficient conditions for discreteness and boundedness below of the spectrum of the singular differential operator $\ell(y)\equiv{1\over w(t)}\ddif{(r(t)\ddif{y})}$, $t\in[a,\infty)$ are established. These conditions are based on a recently proved relationship between spectral properties of $\ell$ and oscillation of a certain associated second order differential equation.
DOI : 10.21136/MB.1997.125911
Classification : 34B05, 34C10, 34L05
Keywords: singular differential operators; property BD; oscillation criteria; principal solution 
@article{10_21136_MB_1997_125911,
     author = {Do\v{s}l\'y, Ond\v{r}ej and Hilscher, Roman},
     title = {Spectral properties of fourth order differential operators},
     journal = {Mathematica Bohemica},
     pages = {153--168},
     publisher = {mathdoc},
     volume = {122},
     number = {2},
     year = {1997},
     doi = {10.21136/MB.1997.125911},
     mrnumber = {1460945},
     zbl = {0894.34028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.125911/}
}
TY  - JOUR
AU  - Došlý, Ondřej
AU  - Hilscher, Roman
TI  - Spectral properties of fourth order differential operators
JO  - Mathematica Bohemica
PY  - 1997
SP  - 153
EP  - 168
VL  - 122
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.125911/
DO  - 10.21136/MB.1997.125911
LA  - en
ID  - 10_21136_MB_1997_125911
ER  - 
%0 Journal Article
%A Došlý, Ondřej
%A Hilscher, Roman
%T Spectral properties of fourth order differential operators
%J Mathematica Bohemica
%D 1997
%P 153-168
%V 122
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.125911/
%R 10.21136/MB.1997.125911
%G en
%F 10_21136_MB_1997_125911
Došlý, Ondřej; Hilscher, Roman. Spectral properties of fourth order differential operators. Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 153-168. doi : 10.21136/MB.1997.125911. http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.125911/

Cité par Sources :