Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay
Autor: | Vittorio Colao, Hong-Kun Xu, Luigi Muglia |
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Rok vydání: | 2015 |
Předmět: |
Partial differential equation
Differential equation Applied Mathematics 010102 general mathematics Mathematical analysis First-order partial differential equation Exact differential equation 01 natural sciences 010101 applied mathematics Homogeneous differential equation Riccati equation 0101 mathematics Universal differential equation Hyperbolic partial differential equation Mathematics |
Zdroj: | Annali di Matematica Pura ed Applicata (1923 -). 195:697-716 |
ISSN: | 1618-1891 0373-3114 |
DOI: | 10.1007/s10231-015-0484-0 |
Popis: | 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. |
Databáze: | OpenAIRE |
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