Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces |
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Authors: | Heng-you Lan |
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Institution: | Department of Mathematics, Sichuan University of Science & Engineering, Zigong, Sichuan 643000, PR China |
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Abstract: | In this paper, by using a monotone iterative technique in the presence of lower and upper solutions, we discuss the existence of solutions for a new system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces. Under wide monotonicity conditions and the noncompactness measure conditions, we also obtain the existence of extremal solutions and a unique solution between lower and upper solutions. |
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Keywords: | 34A10 34G20 45J05 |
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