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Solution of infinite system of third-order three-point nonhomogeneous boundary value problem in weighted sequence space \(bv_p^{\omega}\) - MaRDI portal

Solution of infinite system of third-order three-point nonhomogeneous boundary value problem in weighted sequence space \(bv_p^{\omega}\) (Q6562331)

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scientific article; zbMATH DE number 7871634
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English
Solution of infinite system of third-order three-point nonhomogeneous boundary value problem in weighted sequence space \(bv_p^{\omega}\)
scientific article; zbMATH DE number 7871634

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    Solution of infinite system of third-order three-point nonhomogeneous boundary value problem in weighted sequence space \(bv_p^{\omega}\) (English)
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    26 June 2024
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    Using the concept of weighted sequence space, the authors propose a new Hausdorff type measure of noncompactness (MNC) in this space. Then, using this MNC for condensing Meir-Keeler type operators, a study of the existence of solutions of infinite systems of third-order three-point nonhomogeneous boundary value problem is developed. Two concrete examples are illustrating the main results.
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    infinite systems
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    measure of noncompactness
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    Meir-Keeler condensing operator
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    weighted sequence space
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    fixed point
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