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Abstrakty
The existence and the uniqueness of an integrated solution of the generalized wave problem were proved by using once integrated semigroups. Also a null-exact controllability of the generalized wave system was obtained.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
745--760
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland
autor
- Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland
Bibliografia
- [1] W. Arendt, Vector-valued Laplace transforms and Cauchy problems, Israel J. Math, vol. 59, no 3 (1987) 327-352.
- [2] N. U. Ahmed, Semigroup Theory with Application to Systems and Control, Longman Scientific & Technical (1991).
- [3] R. F. Curtain, H. Zwart, An Introduction to Infinite Dimensional Linear System Theory, Springer-Verlag, New York (1995).
- [4] K. J. Engel, R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Springer Verlag, New York (2000).
- [5] H. Gajewski, K. Groger, K. Zacharias, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, 1974.
- [6] T. Kato, Abstract Differential Equations and Nonlinear Mixed Problems, Accademia Nazionale dei Lincei Scuola Normale Superiore, Lezioni Fermiane, Pisa, 1985.
- [7] T. Kowalski, W. Sadkowski, Applications of integrated semigroups for control theory, Internat. J. Differential Equations and Appl. vol. 7, No 2 (2003), 123-139.
- [8] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer Verlag, New York (1983).
- [9] W. Sadkowski, Global exact controllability for generalized wave equation, Demonstratio Math. 30, No 3 (1997), 687-696.
- [10] H. Tanabe, Equations of Evolution, Pitman, 1979.
- [11] H. R. Thieme, "Integrated Semigroups" and Integrated Solutions to Abstract Cauchy Problems, J. Math. Anal, and Applications 152, (1990), 416-447.
- [12] E. Zeidler, Nonlinear Functional Analysis and its Applications II A, Springer Verlag, 1990.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0011-0010