On lower estimates for the eigenvalues of positive operators
β Scribed by L.T. Savinova
- Publisher
- Elsevier Science
- Year
- 1962
- Weight
- 365 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
We find an asymptotic expression for the first eigenvalue of the biharmonic operator on a long thin rectangle. This is done by finding lower and upper bounds which become increasingly accurate with increasing length. The lower bound is found by algebraic manipulation of the operator, and the upper b
Consider the STURM -LIOUVIUE differential expression &U Pβ¬C', qEC, p ( z ) =-0, q(z) &Po=--0 0 1 2-β¬[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