Nonlocal Time-Multipoint Problem for a Certain Class of Evolutionary Pseudodifferential Equations with Variable Symbols: II

Gorodetskii V V<sup>*</sup>; Martynyuk O V; Fedukh O V

doi:10.1134/S0012266117020069

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Nonlocal Time-Multipoint Problem for a Certain Class of Evolutionary Pseudodifferential Equations with Variable Symbols: II

作者：Gorodetskii V V^*; Martynyuk O V; Fedukh O V

来源：Differential Equations, 2017, 53(2): 200-211.

DOI：10.1134/S0012266117020069

摘要

The properties of the fundamental solution to a nonlocal time-multipoint problem for an evolutionary equation with a pseudodifferential operator constructed by a variable symbol are studied. The solvability of the above problem in the class of continuous bounded on R functions is established and a representation of the solution is derived.