Discrete quadratic functionals with jointly varying endpoints via separable endpoints

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Authors

HILSCHER Roman ZEIDAN Vera

Year of publication 2004
Type Article in Proceedings
Conference Proceedings of the Sixth International Conference on Difference Equations
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Discrete quadratic functional; Linear Hamiltonian difference system; Discrete quadratic functional; Linear Hamiltonian difference system; Conjoined basis; Riccati difference equation; Focal point
Description 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.
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