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Asymptotic constancy for a system of impulsive pantograph equations - MaRDI portal

Asymptotic constancy for a system of impulsive pantograph equations (Q2341932)

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Asymptotic constancy for a system of impulsive pantograph equations
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    Asymptotic constancy for a system of impulsive pantograph equations (English)
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    7 May 2015
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    In this paper, the authors study an initial value problem for a system of nonhomogeneous linear impulsive pantograph equations. Sufficient conditions are obtained for the solution of the problem to have asymptotic constancy. For a special case of the equation, the limit of the solution as \(t\to\infty\) is formulated in terms of the initial function and the solution of a related integral equation.
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    asymptotic constancy
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    impulsive differential equation
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    integral equation
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    pantograph equation
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