Existence of solutions to first-order singular and nonsingular initial value problems

Existence of solutions to first-order singular and nonsingular initial value problems

Under barrier strip type arguments we investigate the existence of global solutions to the initial value problem $x'=f(t,x,x')$, $x(0)=A$, where the scalar function $f(t,x,p)$ may be singular at $t=0$.

Bibliographic Details
Main Author: Petio S. Kelevedjiev
Format: Article
Language:English
Published: Texas State University 2008-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Initial value problem
first order differential equation
singularity
sign conditions
Online Access:http://ejde.math.txstate.edu/Volumes/2008/151/abstr.html
Description
Summary:Under barrier strip type arguments we investigate the existence of global solutions to the initial value problem $x'=f(t,x,x')$, $x(0)=A$, where the scalar function $f(t,x,p)$ may be singular at $t=0$.
ISSN:1072-6691

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