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On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis
Репозиторій DSpace/Manakin
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On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis
Посилання:
On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis / A.R. Aliev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 347-357. — Бібліогр.: 5 назв. — англ.
Підтримка:
The Author is thankful to Acad. of NAS of Azerbaijan M.G. Gasimov and Prof. S.S. Mirzoyev for discussion of the paper.
Дата:
2006
Переглядів:
845
Завантажень:
334
Анотація:
Solvability of the operator differential equation of the second order with variable coe cients on the real axis in a certain weight space is studied. The main part of the equation is an abstract elliptic equation in Hilbert space. We note that sufficient conditions on operator coeffiients of the perturbed part, preserving ellipticity of the equation, are found in the paper, and estimations of the norms of intermediate derivative operators via the main part of the operator differential equation in a certain weight space are also obtained.
