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Oscillation theorems of second-order nonlinear neutral delay differential equations under impulsive perturbations - MaRDI portal

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Oscillation theorems of second-order nonlinear neutral delay differential equations under impulsive perturbations (Q699633)

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scientific article; zbMATH DE number 1807629
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English
Oscillation theorems of second-order nonlinear neutral delay differential equations under impulsive perturbations
scientific article; zbMATH DE number 1807629

    Statements

    Oscillation theorems of second-order nonlinear neutral delay differential equations under impulsive perturbations (English)
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    24 November 2002
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    The authors study connections among the following properties of solutions: (1) a solution \(x(t)\) is oscillatory; (2) \(\dot{x}(t)\) is oscillatory; (3) \(x(t)\) monotonically converges to zero as \(t\rightarrow\infty\). They extend and improve some known oscillatory results for second-order impulsive neutral differential equations.
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    oscillation
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    impulses
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    neutral delay differential equation
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    nonlinearity
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