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@article{492725, author = {Hilscher, Roman and Zeidan, Vera}, article_number = {4}, keywords = {Discrete quadratic functional; Linear Hamiltonian difference system; Discrete quadratic functional; Linear Hamiltonian difference system; Conjoined basis; Riccati difference equation}, language = {eng}, issn = {0035-7596}, journal = {Rocky Mountain Journal of Mathematics}, title = {A remark on discrete quadratic functionals with separable endpoints}, volume = {33}, year = {2003} }
TY - JOUR ID - 492725 AU - Hilscher, Roman - Zeidan, Vera PY - 2003 TI - A remark on discrete quadratic functionals with separable endpoints JF - Rocky Mountain Journal of Mathematics VL - 33 IS - 4 SP - 1337-1351 EP - 1337-1351 SN - 00357596 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 N2 - 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. ER -
HILSCHER, Roman a Vera ZEIDAN. A remark on discrete quadratic functionals with separable endpoints. \textit{Rocky Mountain Journal of Mathematics}. 2003, roč.~33, č.~4, s.~1337-1351. ISSN~0035-7596.
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