A unique positive solution for second-order nonlinear impulsive singular integro-differential equations in Banach spaces (Q2910414)

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scientific article; zbMATH DE number 6080712
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A unique positive solution for second-order nonlinear impulsive singular integro-differential equations in Banach spaces
scientific article; zbMATH DE number 6080712

    Statements

    11 September 2012
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    fixed point theory
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    unique positive solution
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    Banach space
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    second order nonlinear impulsive singular integro-differential equation
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    A unique positive solution for second-order nonlinear impulsive singular integro-differential equations in Banach spaces (English)
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    The authors discuss the unique positive solution for second order nonlinear impulsive singular integro-differential equations in Banach spaces. By avoiding upper and lower solutions, conditions and compactness type conditions that are available in literature, they use the Banach fixed point theory combined with an iterative technique to obtain the unique positive solution.
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