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
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