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RŮŽIČKOVÁ, V. HILSCHER, R.
Originální název
Perturbation of time scale quadratic functionals with variable endpoints
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
Originální abstrakt
In this paper we establish perturbation results pertaining the nonnegativity and positivity of a time scale quadratic functional $\F_0$ and its perturbations of the form $$ \G(x,u)=\F_0(x,u)+\alpha\,\|x(a)\|^2+\beta\,\|x(b)\|^2, $$ where the endpoints of the functional $\F_0$ 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.
Klíčová slova
Quadratic functional, Nonnegativity, Positivity, Time scale, Time scale symplectic system, Linear Hamiltonian system.
Autoři
RŮŽIČKOVÁ, V.; HILSCHER, R.
Rok RIV
2007
Vydáno
31. 12. 2007
Nakladatel
Research India Publications
ISSN
0973-5321
Periodikum
Advances in Dynamical Systems and Applications (ADSA)
Ročník
2
Číslo
Stát
Indická republika
Strany od
207
Strany do
224
Strany počet
18
BibTex
@article{BUT44057, author="Viera {Štoudková Růžičková} and Roman Šimon {Hilscher}", title="Perturbation of time scale quadratic functionals with variable endpoints", journal="Advances in Dynamical Systems and Applications (ADSA)", year="2007", volume="2", number="2", pages="207--224", issn="0973-5321" }