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Gordeziani, D. G.; Avalishvili, G. A.

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.

Cited in 1 Review
Cited in 15 Documents

MSC:

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

Keywords:

abstract Schrödinger equation; nonlocal operators; nonlocal initial condition
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\textit{D. G. Gordeziani} and \textit{G. A. Avalishvili}, Differ. Equ. 41, No. 5, 703--711 (2005; Zbl 1081.35004); translation from Differ. Uravn. 41, No. 5, 670--677 (2005)
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References:

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