Integral Operators With Rational Kernels
| Author | Al Abbas, Mahmood A. | |
|---|---|---|
| metadata.dc.date.accessioned | 2026-09-20T15:52:34Z | |
| Publication date | 1997 | |
| Degree level | Doctoral | |
| Abstract | ABSTRACT: Let q(s,t)=a+b(s+t)+cst+d(s²+12), where a, b, c, d e R, not all zero, 1 and suppose that k =-. A closed (bounded) interval I is called admissible for k if q(s,t) ≠0, for all s, te I, in which case we obtain a compact symmetric integral operator K, on L²(I) with continuous kernel k: K₁f(s)=(s K₁f(s) = f(t) dt q(s,t) (feL²(I), se I). In Chapter 2 we find the number of positive and the number of negative eigenvalues of K, in the case d = 0, and in Chapter 4 we do the same for a general d. In Chapter 3 we find the number of positive and the number of negative eigenvalues of integral operators of kernels of the form A+B(s+t)+Cst D+E(s+t)+Fst. In Chapter 5 we return to the case k = and d = 0 and we find asymptotic estimates 1 9 for the positive eigenvalues of K, and the negative eigenvalues | |
| metadata.dc.identifier.other | Drupal node 4088 | |
| metadata.dc.identifier.other | https://digitalrepository.uob.edu.bh/en/dar/integral-operators-rational-kernels | |
| metadata.dc.identifier.uri | http://165.227.56.122/handle/123456789/7309 | |
| Language | en | |
| Link | https://digitalrepository.uob.edu.bh/en/_flysystem/fedora/2025-07/001520_integral_operators_with_rational_kernels.pdf | |
| Subject | Integral operators -- Dissertations | |
| Subject | Kernel functions-- Dissertations | |
| Title | Integral Operators With Rational Kernels | |
| Type | Doctoral Dissertation |
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