Petio Kelevedjiev
Abstract:
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
. Using barrier strip type arguments,
we establish the existence of monotone and/or positive solutions
in
.
Submitted April 8, 2016. Published October 12, 2016.
Math Subject Classifications: 34A12, 34A36.
Key Words: Initial value problem; second order differential equation;
singularity; existence; barrier conditions.
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Petio Kelevedjiev Technical University of Sofia Branch Sliven, Bulgaria email: keleved@mailcity.com |
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