Degenerate equations and a degenerating parameter
type: Item
instance of: scholarly article
title: Degenerate equations and a degenerating parameter
zbMATH Open document ID: 0656.34053
DOI: 10.1007/BF01056828
author: V. P. Skripnik
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Consider the nondegenerate systems in \(L^ 2:\) \[ (1)\quad A(t,\epsilon)x'=B(t,\epsilon)+f(t,\epsilon) \] where A, B are \(m\times m\)-matrices; \(x,f\in R^ m\), and the degenerate system \[ (2)\quad (\hat A(t)x)'=(\hat A'(t)+\hat B(t))x+\hat f(t). \] The author studies the convergence of the family of the solutions of the system (1) to the solution of the limiting degenerate system.
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 4071396
zbMATH Keywords: first order differential equation
zbMATH Keywords: degenerate system
MaRDI profile type: Publication
cites work: Q4750999
cites work: Nonlinear systems with a small matrix as the coefficient of the derivative
cites work: Q4884302
full work available at URL: https://doi.org/10.1007/bf01056828
OpenAlex ID: W2047819162
description: scientific article; zbMATH DE number 4071396