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Boundary value problems and controllability of linear systems with right invertible operators

Seria
Rozprawy Matematyczne tom/nr w serii: 316 wydano: 1992
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Abstrakty
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CONTENTS
Introduction..........................................................................................................................................................5
Preliminaries........................................................................................................................................................7
   1. Linear spaces and linear operators..............................................................................................................7
   2. Right and left invertible operators................................................................................................................8
   3. Algebraic operators....................................................................................................................................12
   4. Singular integral operators.........................................................................................................................15
I. Characterizations of right inverses and interpolation problems.......................................................................16
   5. Operations on Volterra right inverses.........................................................................................................16
   6. Characterization of polynomials in right inverses with algebraic operator coefficients................................18
   7. Algebraic exponentials................................................................................................................................23
   8. Property (c).................................................................................................................................................28
   9. Interpolation problems................................................................................................................................32
II. Generalized almost invertible operators.........................................................................................................45
   10. Properties of generalized almost invertible operators...............................................................................45
   11. Equations with generalized almost invertible operators.............................................................................54
   12. Generalized almost invertibility of paired operators...................................................................................62
III. General equations with right invertible operators..........................................................................................68
   13. Pre-resolving operators............................................................................................................................68
   14. Initial value problems................................................................................................................................80
   15. Boundary value problems.........................................................................................................................91
   16. First mixed boundary value problems.....................................................................................................102
   17. Second mixed boundary value problems................................................................................................116
   18. First order equations in the noncommutative case.................................................................................127
   19. Remarks on general boundary value problems......................................................................................133
IV. Controllability of linear systems..................................................................................................................151
   20. Controllability of first order linear systems with right invertible operators................................................141
   21. Controllability of general systems with right invertible operators.............................................................151
   22. Controllability of linear systems described by generalized almost invertible operators...........................161
References......................................................................................................................................................169
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 316
Liczba stron
171
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCCXVI
Daty
wydano
1992
otrzymano
1990-10-09
Twórcy
  • Faculty of Mathematics, University of Hanoi, Hanoi, Vietnam
Bibliografia
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Języki publikacji
EN
Uwagi
1991 Mathematics Subject Classification: Primary 34Gxx, 45A05, 45Exx, 47E05.
Identyfikator YADDA
bwmeta1.element.zamlynska-a67f0819-256c-42f3-8fb9-81554e4f372a
Identyfikatory
ISBN
83-85116-27-3
ISSN
0012-3862
Kolekcja
DML-PL
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