Inhomogeneous quadratic functionals on time scales

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Authors

HILSCHER Roman

Year of publication 2001
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords time scale; (continuous and discrete) linear Hamiltonian system; disconjugacy; principal solution
Description In [9] the author develops a unified theory for continuous (T=R) and discrete (T=Z) linear Hamiltonian systems on an arbitrary time scale T. In particular, he states that disconjugacy of the Hamiltonian system is a sufficient condition for positivity of the corresponding (homogeneous) quadratic functional. In this paper we present a similar condition for quadratic functionals on time scales with general (inhomogeneous) boundary conditions.
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