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We obtain solvability conditions and a representation of solutions for a boundary value problem for a linear nonstationary Schrödinger equation in a Hilbert space as well as sufficient conditions for the bifurcation of solutions of this equation.
We consider linear boundary value problems for operator equations with generalized-invertible operator in a Banach or Hilbert space. We obtain solvability conditions for such problems and indicate the structure of their solutions. We construct a generalized Green operator and analyze its properties and the relationship with a generalized inverse operator of the linear boundary value problem. The suggested...
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