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On the structure of the solutions of the Jabotinsky equations in Banach spaces. (English) Zbl 0796.35016

Summary: The differential-functional equations of Jabotinsky are closely related to the translation equation. They are of importance in the iteration theory. In this paper we give an explicit representation of the solutions of each of these equations in Banach spaces.

MSC:

35C05 Solutions to PDEs in closed form
35F20 Nonlinear first-order PDEs
35R10 Partial functional-differential equations
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