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@inproceedings{557885,
author = {Hilscher, Roman and Zeidan, Vera},
address = {Boca Raton},
booktitle = {Proceedings of the Sixth International Conference on Difference Equations},
keywords = {Discrete quadratic functional; Linear Hamiltonian difference system;
Discrete quadratic functional; Linear Hamiltonian difference system; Conjoined basis; Riccati difference equation; Focal point},
language = {eng},
location = {Boca Raton},
isbn = {0-415-31675-8},
pages = {461-470},
publisher = {Chapman & Hall/CRC},
title = {Discrete quadratic functionals with jointly varying endpoints via separable endpoints},
year = {2004}
}
TY - JOUR
ID - 557885
AU - Hilscher, Roman - Zeidan, Vera
PY - 2004
TI - Discrete quadratic functionals with jointly varying endpoints via separable endpoints
PB - Chapman & Hall/CRC
CY - Boca Raton
SN - 0415316758
KW - Discrete quadratic functional
KW - Linear Hamiltonian difference system
KW - Discrete quadratic functional
KW - Linear Hamiltonian difference system
KW - Conjoined basis
KW - Riccati difference equation
KW - Focal point
N2 - A characterization of the positivity of a discrete quadratic functional with mixed state endpoints is presented. The functional is transformed in two different ways into problems with separable endpoints to which previous results are applied. The outcome are conditions that include augmented conjoined bases and implicit and explicit Riccati equations with corresponding augmented equality or inequality boundary conditions. The results of this paper extend and complete known ones.
ER -
HILSCHER, Roman a Vera ZEIDAN. Discrete quadratic functionals with jointly varying endpoints via separable endpoints. In \textit{Proceedings of the Sixth International Conference on Difference Equations}. Boca Raton: Chapman \&{} Hall/CRC, 2004, s.~461-470. ISBN~0-415-31675-8.
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