A characterization of the non local boundary value problems associated with an elliptic operator
Gerd Grubb (1968)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Abstract boundary-value operators and their adjoints”
A characterization of the non local boundary value problems associated with an elliptic operator
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Nonlocal elliptic boundary value problems
Martin Schechter (1966)
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S. Rempel, Bert-Wolfgang Schultze (1982)
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-th order ordinary differential systems under Stieltjes boundary conditions
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On the solvability of the Lyapunov equation for nonselfadjoint differential operators of order 2m with nonlocal boundary conditions
Aris Tersenov (2001)
Annales Polonici Mathematici
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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.