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

@book{NguyenVanMau1992,
abstract = {CONTENTSIntroduction..........................................................................................................................................................5Preliminaries........................................................................................................................................................7   1. Linear spaces and linear operators..............................................................................................................7   2. Right and left invertible operators................................................................................................................8   3. Algebraic operators....................................................................................................................................12   4. Singular integral operators.........................................................................................................................15I. 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................................................................................................................................32II. 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...................................................................................62III. 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......................................................................................133IV. 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...........................161References......................................................................................................................................................1691991 Mathematics Subject Classification: Primary 34Gxx, 45A05, 45Exx, 47E05.},
author = {Nguyen Van Mau},
keywords = {differentiation operator; right inverse; Volterra operator; right invertible operator; generalized inverses; initial and boundary value problems; controllability; differential and integral operators; algebraic approach},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Boundary value problems and controllability of linear systems with right invertible operators},
url = {http://eudml.org/doc/219355},
year = {1992},
}

TY - BOOK
AU - Nguyen Van Mau
TI - Boundary value problems and controllability of linear systems with right invertible operators
PY - 1992
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction..........................................................................................................................................................5Preliminaries........................................................................................................................................................7   1. Linear spaces and linear operators..............................................................................................................7   2. Right and left invertible operators................................................................................................................8   3. Algebraic operators....................................................................................................................................12   4. Singular integral operators.........................................................................................................................15I. 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................................................................................................................................32II. 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...................................................................................62III. 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......................................................................................133IV. 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...........................161References......................................................................................................................................................1691991 Mathematics Subject Classification: Primary 34Gxx, 45A05, 45Exx, 47E05.
LA - eng
KW - differentiation operator; right inverse; Volterra operator; right invertible operator; generalized inverses; initial and boundary value problems; controllability; differential and integral operators; algebraic approach
UR - http://eudml.org/doc/219355
ER -