We establish existence of solutions for a second-order differential equation with non-instantaneous impulses and delay on an unbounded interval. A compactness criterion in a certain class of functions is established, which then permits to reduce the differential equation to an equivalent fixed-point problem.
We establish existence of solutions for a second-order differential equation with non-instantaneous impulses and delay on an unbounded interval. A compactness criterion in a certain class of functions is established, which then permits to reduce the differential equation to an equivalent fixed-point problem.
Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay
COLAO, Vittorio;MUGLIA, Luigi;
2016-01-01
Abstract
We establish existence of solutions for a second-order differential equation with non-instantaneous impulses and delay on an unbounded interval. A compactness criterion in a certain class of functions is established, which then permits to reduce the differential equation to an equivalent fixed-point problem.File in questo prodotto:
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