Cauchy problem for convolution equations in spaces of analytic vector-valued functions

DOI10.1134/S0001434607070218zbMath1219.35131MaRDI QIDQ635557

V. P. Gromov

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemBorel transformentire function of exponential typeFourier-Laplace transformFourier methodoperator-differential convolution equation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Series solutions to PDEs (35C10)

Related Items (1)

Vector-valued functions generated by the operator of finite order and their application to solving operator equations in locally convex spaces

Cites Work

• The Cauchy problem for differential equations of infinite order

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