Publication details
Inhomogeneous quadratic functionals on time scales
| Authors | |
|---|---|
| Year of publication | 2001 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| 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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