International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2022, Vol. 7, Issue 1, Part A

On the domains of regularly solvable operators in the direct sum spaces


Author(s): Sobhy El-Sayed Ibrahim

Abstract: A general ordinary quasi-differential expressions τ_(1 ),τ_(2 ),…,τ_(n ) each of order n with complex coefficients and their formal adjoint are τ_1^+, τ_2^+, …, τ_n^+ can be defined on the interval [a, b) respectively, we give a characterization of all regularly solvable operators and their adjoints generated by a general ordinary quasi-differential expressions τ_(jp )in the direct sum of Hilbert spaces L_(w )^2 (a_p,b_p ),p=1,…,N. This characterization is an extension of those obtained in the case of one interval with one and two singular end-points, and is a generalization of those proved in the symmetric case.

Pages: 55-68 | Views: 82 | Downloads: 7

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How to cite this article:
Sobhy El-Sayed Ibrahim. On the domains of regularly solvable operators in the direct sum spaces. Int J Stat Appl Math 2022;7(1):55-68.
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