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@article{748988,
author = {Hilscher, Roman and Růžičková, Viera},
article_location = {Delhi (Indie)},
article_number = {2},
keywords = {Linear Hamiltonian system; nonnegativity; positivity; quadratic funcfunctional; time scale; time scale symplectic system},
language = {eng},
issn = {0973-5321},
journal = {Advances in Dynamical Systems and Applications},
title = {Perturbation of time scale quadratic functionals with variable endpoints},
volume = {2},
year = {2007}
}
TY - JOUR
ID - 748988
AU - Hilscher, Roman - Růžičková, Viera
PY - 2007
TI - Perturbation of time scale quadratic functionals with variable endpoints
JF - Advances in Dynamical Systems and Applications
VL - 2
IS - 2
SP - 207-224
EP - 207-224
PB - Research India Publications
SN - 09735321
KW - Linear Hamiltonian system
KW - nonnegativity
KW - positivity
KW - quadratic funcfunctional
KW - time scale
KW - time scale symplectic system
N2 - In this paper we establish perturbation results pertaining the nonnegativity and positivity of a time scale quadratic functional F0 and its perturbations of the form G(x, u) = F0(x, u) + alpha || x(a) ||2 + beta || x(b) ||2, where the endpoints of the functional F0 are zero while the endpoints of the functional G can vary. These functionals are closely related to time scale symplectic systems. Moreover, we extend such results to functionals with variable endpoints. The results of this paper generalize perturbation results recently known for the special case of the discrete time, but they are new for the continuous time.
ER -
HILSCHER, Roman and Viera RŮŽIČKOVÁ. Perturbation of time scale quadratic functionals with variable endpoints. \textit{Advances in Dynamical Systems and Applications}. Delhi (Indie): Research India Publications, 2007, vol.~2, No~2, p.~207-224. ISSN~0973-5321.
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