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A remark on discrete quadratic functionals with separable endpoints

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HILSCHER Roman ZEIDAN Vera

Rok publikování 2003
Druh Článek v odborném periodiku
Časopis / Zdroj Rocky Mountain Journal of Mathematics
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
Obor Obecná matematika
Klíčová slova Discrete quadratic functional; Linear Hamiltonian difference system; Discrete quadratic functional; Linear Hamiltonian difference system; Conjoined basis; Riccati difference equation
Popis A characterization of the positivity of a discrete quadratic functional with separable state endpoints constraints is presented in terms of conjugate intervals to 0 , various conjoined bases of the associated linear Hamiltonian difference system, and solutions of the implicit and explicit Riccati difference equations. The boundary conditions are in the form of either equalities or (strict) inequalities. Three sets of results are derived under different underlying assumptions.
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