Solvability of singular second-order initial value problems

This article concerns the solvability of the initial-value problem x''=f(t,x,x'), x(0)=A, x'(0)=B, where the scalar function f may be unbounded as $t\to 0$. Using barrier strip type arguments, we establish the existence of monotone and/or positive solutions in $C^1[0,T]\cap C...

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Bibliographic Details
Main Author: Petio Kelevedjiev
Format: Article
Language:English
Published: Texas State University 2016-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/273/abstr.html