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Second-order impulsive differential systems of mixed type: oscillation theorems
Journal article   Open access  Peer reviewed

Second-order impulsive differential systems of mixed type: oscillation theorems

Shyam Sundar Santra, Andrea Scapellato and Osama Moaaz
Boundary value problems, Vol.2022(1), pp.1-13
15/09/2022
DOI: https://doi.org/10.1186/s13661-022-01648-4

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
In this paper, we obtain necessary and sufficient conditions for the oscillation of solutions to a second-order neutral differential equation with impulses. Two examples are provided to show the effectiveness and feasibility of the main results. Our main tool is Lebesgue’s dominated convergence theorem.
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https://doi.org/10.1186/s13661-022-01648-4View
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