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

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.
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/139996
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