Expansions associated with nonselfadjoint boundary value problems
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- by Robert Carlson PDF
- Proc. Amer. Math. Soc. 73 (1979), 173-179 Request permission
Abstract:
Eigenfunction expansions are given for a class of non-self-adjoint boundary-value problems. The results apply to systems of ordinary differential equations, some of whose coefficients may be arbitrary bounded Hilbert space operators.References
- Colin Clark, On relatively bounded perturbations of ordinary differential operators, Pacific J. Math. 25 (1968), 59–70. MR 226447, DOI 10.2140/pjm.1968.25.59
- Earl A. Coddington and Aalt Dijksma, Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces, Ann. Mat. Pura Appl. (4) 118 (1978), 1–118. MR 533601, DOI 10.1007/BF02415124
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- Avner Friedman, Partial differential equations, Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1969. MR 0445088
- Seymour Goldberg, Unbounded linear operators: Theory and applications, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0200692
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 173-179
- MSC: Primary 47E05; Secondary 34B25
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516459-4
- MathSciNet review: 516459