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On the product of singular differential operators with their essential spectra in direct sum space

Journal| MESA • 2015
العودة
معلومات البحث
المؤلفون Sobhy El-sayed Ibrahim
الكلمات المفتاحية Productofdifferentialexpressions,regularlysolvableandwell-poseddifferentialoperators,essentialspectra, Hilbert-Schmidt integral operators.
المجلة العلمية Journal| MESA
الناشر Not Available
المجلد 6
العدد 1
الصفحات 101-118
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
We consider the product of general quasi-differential expressions τ1, τ2,..., τn each
of order n with complex coefficients and their formal adjoints on the interval (a, b). It is shown
in direct sum spaces L2 w (Ip), p= 1,..., N of functions defined on each of the separate
intervals with the case of one singular end-points and when all solutions of the equation [Πn
j= 1τj− λw] u= 0 and its adjoint [Πn j= 1τ+ j− λ w] v= 0 are in L2 w (a, b)(the limit circle case)
that all well-posed extensions of the minimal operator T0 (τ1, τ2,..., τn) have resolvents ...