A singular initial value problem for some functional differential equations
type: Item
instance of: scholarly article
title: A singular initial value problem for some functional differential equations
zbMATH Open document ID: 1065.34053
DOI: 10.1155/S1048953304405012
author: Ravi P. Agarwal
author: Donal O'Regan
author: Oleksandr E. Zernov
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2005-03-21T00:00:00Z
full work available at URL: https://eudml.org/doc/51400
review text: Summary: For the initial value problem \(t^rx'(t)=at+b_1x(t)+ b_2 x(q_1t)+b_3t^rx' (q_2t)+\varphi(t,x(t)\), \(x(q_1t),x'(t),x'(q_2t))\), \(x(0) =0\), where \(r>1\), \(0<q_i \leq 1\), \(i\in\{1,2\}\), we find a nonempty set of continuously differentiable solutions \(x:(0,\rho]\to \mathbb{R}\), each of which possesses nice asymptotic properties when \(t\to+0\).
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 2148079
MaRDI profile type: Publication
OpenAlex ID: W2031637805
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description: scientific article; zbMATH DE number 2148079