Titlebook: Complete Second Order Linear Differential Equations in Hilbert Spaces; Alexander Ya. Shklyar Book 1997 Birkh?user Verlag 1997 Finite.Hilbe

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Joint spectrum of commuting normal operators and its position. Estimates for roots of second order pFor the sake of simplicity, we begin with an important particular case where . and . are arbitrary commuting self-adjoint operators (c.s.o.) in a separable Hilbert space ..

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The Cauchy problemWe now go on to consider the Cauchy problem for equation (1) in a more general ease where . and . are arbitrary commuting . operators (c.n.o.) in .. We consider the Cauchy problem for (1) on .= [0, +∞); for any other [.] such that ?∞ < a < b ≤ + ∞, all the results remain valid.

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Gustatory

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The general form of weak solutionsFix an arbitrary 0 < . ≤ +∞.

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