Abstract
SynopsisIt is shown that the equation (p2y”)”–(p1y’)’+ p0y = 0 has exactly two linearly independent solutions on [0,∞) with finite Dirichlet integral when the coefficients are nonnegative and p2 satisfies a condition which includes all nondecreasing functions. An inequality for the Dirichlet form is derived and used to extend characterizations of the domains of certain self-adjoint operations associated with the differential expression to arbitrary symmetric boundary conditions at 0.
Publisher
Cambridge University Press (CUP)
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2 articles.
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1. On the dirichlet index conjecture;Lecture Notes in Mathematics;1987
2. The Dirichlet index under minimal conditions;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1984