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Integral boundary value problems for first order nonlinear impulsive functional integro-differential equations - MaRDI portal

Integral boundary value problems for first order nonlinear impulsive functional integro-differential equations (Q426519)

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scientific article; zbMATH DE number 6045268
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Integral boundary value problems for first order nonlinear impulsive functional integro-differential equations
scientific article; zbMATH DE number 6045268

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    Integral boundary value problems for first order nonlinear impulsive functional integro-differential equations (English)
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    11 June 2012
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    In this paper, the existence of solutions for first order nonlinear impulsive functional integro-differential equations with integral boundary conditions is considered. First, a new comparison theorem is derived. Then, by utilizing the monotone iterative technique and the method of lower and upper solutions, the existence of extremal solutions or quasi-solutions is obtained.
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    integral boundary value problems
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    monotone iterative technique
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    extremal solutions
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    quasi-solutions
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