Nonlocal time-multipoint problem for a class of evolution pseudodifferential equations

Nonlocal time-multipoint problem for a class of evolution pseudodifferential equations

We prove the well-posed solvability of a nonlocal time-multipoint problem for evolution equations with pseudodifferential operators with analytic symbols and initial condition in the space of distributions of the type W ′.

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Veröffentlicht in:Differential equations 2017-05, Vol.53 (5), p.630-645
Hauptverfasser: Gorodetskii, V. V., Shirokovskikh, A. A.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Differential equations
Evolution
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Ordinary Differential Equations
Partial Differential Equations
Quantum theory
Symbols
Well posed problems
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Beschreibung
Zusammenfassung:We prove the well-posed solvability of a nonlocal time-multipoint problem for evolution equations with pseudodifferential operators with analytic symbols and initial condition in the space of distributions of the type W ′.
ISSN:0012-2661
1608-3083
DOI:10.1134/S001226611705007X