Pulsatile constant and characterisation of first order neutral impulsive differential equations (Q2818491)
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scientific article; zbMATH DE number 6624955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pulsatile constant and characterisation of first order neutral impulsive differential equations |
scientific article; zbMATH DE number 6624955 |
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7 September 2016
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neutral delay differential equations
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impulses
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oscillation
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nonoscillation
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Pulsatile constant and characterisation of first order neutral impulsive differential equations (English)
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The paper deals with oscillation and nonoscillation properties of the following linear neutral differential equation with impulses NEWLINE\[NEWLINE (y(t)-ry(t-\tau))+qy(t-\sigma)=0,\quad t\neq \tau_k, \quad k\in \mathbb N, NEWLINE\]NEWLINE NEWLINE\[NEWLINE \Delta(y(\tau_k)-ry(\tau_k-\tau))+py(\tau_k-\sigma)=0,\quad k\in \mathbb N. NEWLINE\]NEWLINE Linearized oscillation results and an illustrative example are also presented.
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