Time-nonlocal problems for Schrödinger type equations. I: Problems in abstract spaces. (English. Russian original) Zbl 1081.35004

Differ. Equ. 41, No. 5, 703-711 (2005); translation from Differ. Uravn. 41, No. 5, 670-677 (2005).
Summary: Papers in which time-nonlocal problems are considered mainly deal with specific nonlocal initial conditions. We consider time-nonlocal problems for an abstract Schrödinger equation with various nonlocal operators and construct an algorithm approximating such problems of a certain class by a sequence of classical problems.


35A05 General existence and uniqueness theorems (PDE) (MSC2000)
34G10 Linear differential equations in abstract spaces
47D06 One-parameter semigroups and linear evolution equations
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