Transformation of a class of nonselfadjoint eigenvalue problems
Authors: D. R. K. S. Rao and K. N. Murty
Journal: Proc. Amer. Math. Soc. 81 (1981), 287-292
MSC: Primary 34B05; Secondary 34A30
MathSciNet review: 593473
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Abstract: A class of non-self-adjoint boundary value problems possessing countably many real eigenvalues can be made self-adjoint by means of a nonsingular transformation. A set of criteria for such problems to be self-adjoint is derived.
-  Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. MR 0069338
-  E. L. Ince, Ordinary differential equations, Longmans, Gree and Co., Ltd., London, 1927.
-  F. R. Gantmacher, The theory of matrices. I, Chelsea, New York, 1959.
Keywords: Matrix differential equation, boundary value problems, fundamental matrix, elementary divisors
Article copyright: © Copyright 1981 American Mathematical Society