# Discrete singular functionals

Archivum Mathematicum (2005)

- Volume: 041, Issue: 3, page 339-347
- ISSN: 0044-8753

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topMařík, Robert. "Discrete singular functionals." Archivum Mathematicum 041.3 (2005): 339-347. <http://eudml.org/doc/249490>.

@article{Mařík2005,

abstract = {In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.},

author = {Mařík, Robert},

journal = {Archivum Mathematicum},

keywords = {difference equation; half-linear equation; functional; singular functional; difference equation; half-linear equation; functional},

language = {eng},

number = {3},

pages = {339-347},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Discrete singular functionals},

url = {http://eudml.org/doc/249490},

volume = {041},

year = {2005},

}

TY - JOUR

AU - Mařík, Robert

TI - Discrete singular functionals

JO - Archivum Mathematicum

PY - 2005

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 041

IS - 3

SP - 339

EP - 347

AB - In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.

LA - eng

KW - difference equation; half-linear equation; functional; singular functional; difference equation; half-linear equation; functional

UR - http://eudml.org/doc/249490

ER -

## References

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- Řehák P., Oscillatory properties of second order half–linear difference equations, Czech. Math. J. 51, No. 2 (2001), 303–321. MR1844312

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