Second‐order impulsive differential systems with mixed delays: Oscillation theorems

Second‐order impulsive differential systems with mixed delays: Oscillation theorems

In this work, we obtain necessary and sufficient conditions for the oscillation of solutions of 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 the Lebesgue's Dominated Converge...

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Veröffentlicht in:Mathematical methods in the applied sciences 2022-12, Vol.45 (18), p.12184-12195
Hauptverfasser: Santra, Shyam Sundar, Ghosh, Apurba, Dassios, Ioannis
Format: Artikel
Sprache:eng
Schlagworte:
delay
Differential equations
Lebesgue's Dominated Convergence theorem
neutral
oscillation
Theorems
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Zusammenfassung:In this work, we obtain necessary and sufficient conditions for the oscillation of solutions of 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 the Lebesgue's Dominated Convergence theorem.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7829