Consistent solutions of linear equations in variational derivatives

A. I. Gerko

Moldova State University

Abstract: In this paper, we consider the classical existence problem for consistent and uniformly consistent solutions of linear equations in variational derivatives. In particular, we generalize several results obtained by V. V. Zhikov and B. A. Shcherbakov concerning the existence of almost-periodic, consistent, and uniformly consistent solutions of ordinary differential equations.

UDC: 517.9

Received: 02.04.2002

DOI: 10.4213/mzm2483

 English version: Mathematical Notes, 2005, 77:2, 161–171

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