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Boundary value problem for first order impulsive functional integro-differential equations - MaRDI portal

Boundary value problem for first order impulsive functional integro-differential equations (Q629508)

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scientific article; zbMATH DE number 5863148
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Boundary value problem for first order impulsive functional integro-differential equations
scientific article; zbMATH DE number 5863148

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    Boundary value problem for first order impulsive functional integro-differential equations (English)
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    9 March 2011
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    The author proves the existence and uniqueness of an extremal solution to a boundary value problem for impulsive integro-differential equations with non-linear boundary conditions and deviated arguments. The proof of the result relies on a comparison theorem established by the author and on a monotone iterative technique. An illustrative example is presented at the end of the paper.
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    upper and lower solutions
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    impulsive integro-differential equations with deviated arguments
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    nonlinear boundary conditions
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    monotone iterative technique
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    extremal solution
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