Abstract
This note concerns the derivation of an integral inequality associated with a Sturm-Liouville differential expression. The inequality results from the Dirichlet formulae for the differential exression, and the lower bound of the self-adjoint differential operator determined by the Neuman boundary condition at the regular end-point.
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References
R. J. Amos and W. N. Everitt, On a quadratic integral inequality, Proc. Royal Soc. Edinburgh 78A (1978), 241–256.
P. B. Bailey, W. N. Everitt and A. Zettl, The Sleign 2 Computer Program for the Automatic Computation of Eigenvalues, [To be entered into the Public Domain in September 1995].
G. Birkhoff and G.-C. Rota, Ordinary Differential Equations, Ginn and Company, Boston, 1960.
W. N. Everitt, On the transformation theory of ordinary second-order linear symmetric differential equations, Czechoslovak Math. J. 32 (107) (1982), 275–306.
M. A. Naimark, Linear Differential Operators, II, Ungar Publishing Company, New York, 1968.
E. C. Titchmarsh, Eigenfunction Expansions, I, Oxford University Press, 1962.
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Everitt, W.N. (1998). A Dirichlet-Type Integral Inequality. In: Milovanović, G.V. (eds) Recent Progress in Inequalities. Mathematics and Its Applications, vol 430. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9086-0_26
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DOI: https://doi.org/10.1007/978-94-015-9086-0_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4945-2
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