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It is related with finding the green function of Sturm-Liouville equation which has operator coefficient and asymptotic expression of the eigenvalues number in real axis

2002
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Danışman: Prof. Dr. Mehmet Bayramoğlu

Özet (EN)

ABSTRACT Let H be seperable Hilbert space.In L2(- 00,00, #) seperable Hilbert space, Green function of differantial expression defined by -y"+Q(x)y -co is studied and asymptotic expression of eigenvalue numbers is found, where Q(x) is an operatör that is self adjoint and pozitive (for every x in (-00,00)) and its inverse is compact inH. Key words : Operator-function, Green function, spectrum, spectral expansion. IV

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Fatma Aydın (Master Thesis). It is related with finding the green function of Sturm-Liouville equation which has operator coefficient and asymptotic expression of the eigenvalues number in real axis, 2002, Yıldız Technical University.

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