On the Generalized Solution of the Boundary-Value Problem for the Operator-Differential Equations of the Second Order with Variable Coefficients

Автор(и)

  • A. R. Aliev Baku State University, 23 Z. Khalilov Str., Baku, AZ-1148, Azerbaijan
    Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 9 F. Agaev Str., Baku, AZ-1141, Azerbaijan

Анотація

Boundary-value problem for a class of operator-differential equations of the second order with variable coefficients on $[0;\infty )$ is studied. The principal part of investigated operator-differential equation has discontinuities. Sufficient conditions for the existence and uniqueness of generalized solutions of the boundary-value problem for such equations are given. These conditions are expressed only in terms of coefficients of the operator-differential equation.

Mathematics Subject Classification: 47E05, 34B40.

Ключові слова:

generalized solution, boundary-value problem, discontinuous coefficient, selfadjoint operators, Hilbert space

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Як цитувати

(1)
Aliev, A. R. On the Generalized Solution of the Boundary-Value Problem for the Operator-Differential Equations of the Second Order with Variable Coefficients. Журн. мат. фіз. анал. геом. 2006, 2, 87-93.

Номер

Том 2 № 1 (2006)

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