Titlebook: Partial Differential Equations; An Introduction to a Aleksei A. Dezin Book 1987 Springer-Verlag Berlin Heidelberg 1987 Boundary value probl

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Ordinary Differential Operators, of a number of properties of ordinary differential equations. In the first place, ordinary differential Operations are the simplest entities in the theory in which we are interested that can, in many respects, be studied exhaustively. In the second place, the fundamental kind of Operators that are

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First-Order Operator Equations,enerated by special classes of boundary value problems for partial differential equations that originate from the constructions and results presented above, we consider the whole circle of ideas that are of interest. In passing to more complicated entities the study of the corresponding questions tu

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Model Operators,lutions of ordinary equations in order to clarify properties of the solutions of operator equations turns out to be unavoidably connected with the study of functions of Operators, i. e. with the construction of an perationalcalculus.

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Ordinary Differential Operators,of interest in what follows will be Operators that act on tensor products ℍ.ℍ.⨂…⨂ℍ (Chapter IV) and are constructed from mutually commuting operators L.: ℍ.→ ℍ.Here the material for the construction of L.will be ordinary differential Operators that have properties depending on the boundary conditions that enter into their definitions.

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