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On the Dependence of the Lower Eigenvalues of Sturm-Liouville Differential Operators on the Boundary Conditions

✍ Scribed by E. Müller-Pfeiffer

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
319 KB
Volume
133
Category
Article
ISSN
0025-584X

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✦ Synopsis

Consider the STURM -LIOUVIUE differential expression &U P€C', qEC, p ( z ) =-0, q(z) &Po=--0 0 1 2-€[0, -1 I Ay=aS1p, y~ED(A)=C,(O, =) . -( p ( ~) 21')' + ~( 2 ) U , 0 sz -= m , with and define the (minimal) operator A , A considered a8 an operator in the HILBERT space H = L?( 0, a) is bounded from below and its deficiency indices are (1, 1) [3, p. 14051. A11 selfadjoint extensions A. of A are determined by the boundary condition

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