# Discrete spectra criteria for singular difference operators

Mathematica Bohemica (1999)

- Volume: 124, Issue: 1, page 35-44
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

topPeňa, Simón. "Discrete spectra criteria for singular difference operators." Mathematica Bohemica 124.1 (1999): 35-44. <http://eudml.org/doc/248466>.

@article{Peňa1999,

abstract = {We investigate oscillation and spectral properties (sufficient conditions for discreteness and boundedness below of the spectrum) of difference operators
B(y)n+k = (-1)nwk n (pk n yk).},

author = {Peňa, Simón},

journal = {Mathematica Bohemica},

keywords = {discrete spectrum; property BD; discrete variational principle; discrete Wirtinger’s inequality; singular difference operators; oscillation; difference operator; discrete spectrum; property BD; discrete variational principle; discrete Wirtinger's inequality; singular difference operators; oscillation},

language = {eng},

number = {1},

pages = {35-44},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Discrete spectra criteria for singular difference operators},

url = {http://eudml.org/doc/248466},

volume = {124},

year = {1999},

}

TY - JOUR

AU - Peňa, Simón

TI - Discrete spectra criteria for singular difference operators

JO - Mathematica Bohemica

PY - 1999

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 124

IS - 1

SP - 35

EP - 44

AB - We investigate oscillation and spectral properties (sufficient conditions for discreteness and boundedness below of the spectrum) of difference operators
B(y)n+k = (-1)nwk n (pk n yk).

LA - eng

KW - discrete spectrum; property BD; discrete variational principle; discrete Wirtinger’s inequality; singular difference operators; oscillation; difference operator; discrete spectrum; property BD; discrete variational principle; discrete Wirtinger's inequality; singular difference operators; oscillation

UR - http://eudml.org/doc/248466

ER -

## References

top- Bohner M., 10.1006/jmaa.1996.0177, J. Math. Anal. Appl. 199 (1996), 804-826. (199) MR1386607DOI10.1006/jmaa.1996.0177
- Bohner M., Došlý O., 10.1216/rmjm/1181071889, Rocky Mountain J. Math. 27 (1997), 707-743. (1997) MR1490271DOI10.1216/rmjm/1181071889
- Došlý O., Reciprocity principle for Sturm-Liouville difference equations and some of its applications, Proceedings of SICDEA. Veszprem, 1995, pp. 145-153. (1995) MR1636320
- Hinton D. B., Lewis R. T., 10.1016/0022-247X(78)90088-4, J. Math. Anal. Appl. 63 (1978), 421-438. (1978) Zbl0392.39001MR0611455DOI10.1016/0022-247X(78)90088-4
- Hinton D. B., Lewis R. T., Discrete spectra criteria for singular differential operators with middle terms, Math. Proc. Cambridge Philos. Soc. 77 (1975), 337-347. (1975) Zbl0298.34018MR0367358
- Hartman P., Difference equations: disconjugacy, principal solutions, Green's function, complete monoticity, Trans. Amer. Math. Soc. 246 (1978), 1-30. (1978) MR0515528

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.