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On intrinsic compactness of regular solutions space of a class of higher order operator-differential equations
Hilbert spaces operator-differential equations
2010/9/14
In the paper we give definition of intrinsic compactness of regular solutions spaces of a class of higher order homogeneous operatordifferential equations and find sufficient conditions for intrinsic ...
On the existence of solutions of boundary value problems for a class of high order operator-differential equations
Hilbert space existence of generalized solution
2010/9/10
In the paper we give the sufficient conditions on the existence and uniqueness of generalized solutions a boundary value problems of one class of high order operator operator-differential equations at...
On completeness of elementary generalized solutions of a class of operator-differential equations of a higher order
Hilbert space existence of generalized solution operator-differential equation
2010/2/25
In this paper we give definition of m-fold completeness and prove a theorem on completeness of elementary generalized solution of corresponding boundary value problems at which the equation describes ...
On Generalized Solution of a Class of Higher Order Operator-Differential Equations
Operator-differential equations Hilbert spaces existence of generalized solution
2010/2/25
In this paper the sufficient conditions on the existence and uniqueness of a generalized solution on the axis are obtained for higher order operator-differential equations, the main part of which is m...