Discrete quadratic functionals with jointly varying endpoints via separable endpoints
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Proceedings |
| Conference | Proceedings of the Sixth International Conference on Difference Equations |
| MU Faculty or unit | |
| 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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