POSITIVE SEMIDEFINITENESS OF DISCRETE QUADRATIC FUNCTIONALS

DOI10.1017/S0013091502001086zbMath1040.39010MaRDI QIDQ4444921

Werner Kratz, Ondřej Došlý, Martin J. Bohner

Publication date: 28 January 2004

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quadratic functionalsymplectic difference systemnon-negative definiteness

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12)

Related Items (14)

Oscillation theorems for symplectic difference systems ⋮ A Sturmian separation theorem for symplectic difference systems ⋮ Time scale symplectic systems without normality ⋮ Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey ⋮ Coupled intervals for discrete symplectic systems ⋮ Nabla time scale symplectic systems and related quadratic functionals ⋮ Recursion formulae for the characteristic polynomial of symmetric banded matrices ⋮ Sturmian theory for linear Hamiltonian systems without controllability ⋮ Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales ⋮ A view of dynamic derivatives on time scales from approximations ⋮ Riccati inequality and other results for discrete symplectic systems ⋮ Sturmian and spectral theory for discrete symplectic systems ⋮ Multiplicities of focal points for discrete symplectic systems: revisited ⋮ Picone type identities and definiteness of quadratic functionals on time scales

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