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Inhomogeneous Quadratic Functionals on Time Scales

✍ Scribed by Roman Hilscher

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
84 KB
Volume
253
Category
Article
ISSN
0022-247X

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✦ Synopsis

In a previous paper by the author Math. Comput. Modelling 32 2000 , 507᎐527, . Linear Hamiltonian systems on time scales. Positivity of quadratic functionals a Ž . Ž . unified theory for continuous ‫ޔ‬ s ‫ޒ‬ and discrete ‫ޔ‬ s ‫ޚ‬ linear Hamiltonian systems on an arbitrary time scale ‫ޔ‬ is developed. In particular, it is stated that disconjugacy of the Hamiltonian system is a sufficient condition for positivity of the Ž . corresponding homogeneous quadratic functional. In this paper we present a Ž similar condition for quadratic functionals on time scales with general inhomoge-. neous boundary conditions.

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