This article is cited in 1 paper

On the Unique Continuation of the Germs of Solutions of First-Order Differential Equations along Curves

N. A. Shananin

State University of Management, Moscow

Abstract: For solutions of linear, weakly nonlinear, and quasilinear first-order differential equations, we obtain theorems on the unique unbounded continuation of germs along continuous curves contained in the integral submanifolds of the distribution induced by the major part of the equation.

Keywords: germs of solutions, unique continuation, unique definiteness of germs.

UDC: 517

Received: 16.12.2016
Revised: 12.02.2017

DOI: 10.4213/mzm11499

 English version: Mathematical Notes, 2017, 102:6, 855–866

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