Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 151, pp. 1-9.
Title: Existence of solutions to first-order singular and
nonsingular initial value problems
Author: Petio S. Kelevedjiev (Technical Univ. of Sliven, Bulgaria)
Abstract:
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 $t=0$.
Submitted July 20, 2008. Published November 01, 2008.
Math Subject Classifications: 34B15, 34B16.
Key Words: Initial value problem; first order differential equation;
singularity; sign conditions.