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Extremal solutions for \(n\)th-order impulsive integro-differential equations on the half-line in Banach spaces - MaRDI portal

Extremal solutions for \(n\)th-order impulsive integro-differential equations on the half-line in Banach spaces (Q2499627)

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Extremal solutions for \(n\)th-order impulsive integro-differential equations on the half-line in Banach spaces
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    Extremal solutions for \(n\)th-order impulsive integro-differential equations on the half-line in Banach spaces (English)
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    14 August 2006
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    The author investigates the maximal and minimal solutions of the nonlinear impulsive integro-differential equations on a half-line in the Banach space for a class by the upper and lower solutions based on the fixed point theorems and the fixed point index theorems.
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    nonlinear impulsive integro-differential equation
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    upper and lower solutions
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    cone theory
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    partial ordering
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    Banach space
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    Banach fixed point theorem
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    Ascoli-Arzela theorem
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    maximal solution
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    minimal solution
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    fixed point index theorems
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