On the solvability of the Lyapunov equation for nonselfadjoint differential operators of order 2m with nonlocal boundary conditions

• Autorzy: Aris Tersenov
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the solvability of the Lyapunov equation A*U + UA = I, where A is a given nonselfadjoint differential operator of order 2m with nonlocal boundary conditions, A* is its adjoint, I is the identity operator and U is the selfadjoint operator to be found. We assume that the spectra of A* and -A are disjoint. Under this restriction we prove the existence and uniqueness of the solution of the Lyapunov equation in the class of bounded operators.

Kategorie tematyczne

• 34B05: Linear boundary value problems
• 34G10: Linear equations
• 47N20: Applications to differential and integral equations
• 47E05: Ordinary differential operators (should also be assigned at least one other classification number in section 47)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 1
• Strony: 79-104

Daty

wydano

2001

Twórcy

autor

Aris Tersenov

• Institute of Applied and Computing Mathematics, FO.R.T.H. Heraklion, Crete 71110, Greece

Identyfikatory

DOI

10.4064/ap77-1-7