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Riccati equations for abnormal time scale quadratic functionals
- Source :
-
Journal of Differential Equations . Mar2008, Vol. 244 Issue 6, p1410-1447. 38p. - Publication Year :
- 2008
-
Abstract
- Abstract: This paper focuses on developing new Riccati type conditions for an abnormal time scale symplectic system (). These conditions provide characterizations of the nonnegativity (with and without a certain “image condition”) and positivity of the quadratic functionals associated with such a system. The novelty of these conditions rely on the natural conjoined basis of () in which is not necessarily invertible, and thus the system () could be abnormal. These results are new even in the special case of continuous time, as are some of them in the discrete time setting. [Copyright &y& Elsevier]
- Subjects :
- *RICCATI equation
*DIFFERENTIAL equations
*SYMPLECTIC spaces
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 244
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 30029041
- Full Text :
- https://doi.org/10.1016/j.jde.2007.10.012