BOUNDS FOR EIGENVALUES OF AN INTEGRAL OPERATOR.
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
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The report illustrates the application of the method of intermediate problems for estimating the eigenvalues of integral operators. The method yields upper bounds to the positive eigenvalues of integral operators lower bounds are obtained using the Rayleigh-Ritz procedure. Close bounds are given for eigenvalues of the operator with symmetric kernel Kx,y summation from i,j 1 to i,j infinity, of the quantity sin ix sin jyi to the 4th power j to the 4th power. Author
- Theoretical Mathematics