Journal
ANNALI DI MATEMATICA PURA ED APPLICATA
Volume 195, Issue 3, Pages 697-716Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10231-015-0484-0
Keywords
Impulsive differential equation; Fixed-point theorem; Compactness; Unbounded interval
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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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