Solution of a certain singular Cauchy problem
type: Item
instance of: scholarly article
title: Solution of a certain singular Cauchy problem
zbMATH Open document ID: 0837.34014
published in: Russian Mathematics
publication date: 1996-01-03T00:00:00Z
review text: The author considers the singular Cauchy problem (1) \(\alpha (t)(x')^n = a_1t + a_2x + f(t,x,x')\), \(x(0) = 0\), where \(n\) is a positive integer, \(a_i \neq 0\) are constants, \(\alpha : (0, \tau] \to (0,+ \infty)\) is a continuously differentiable function with \(\lim_{t \to + 0} \alpha (t) = 0\). In two theorems he presents sufficient conditions for (1) to have a continuum of solutions or to have a unique solution.
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 815679
zbMATH Keywords: singular Cauchy problem
zbMATH Keywords: continuum of solutions
zbMATH Keywords: unique solution
author: A. E. Zernov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 815679