On the existence of weak solutions of nonlinear integral equations in Banach spaces (Q727548)
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scientific article; zbMATH DE number 6661792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of weak solutions of nonlinear integral equations in Banach spaces |
scientific article; zbMATH DE number 6661792 |
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On the existence of weak solutions of nonlinear integral equations in Banach spaces (English)
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7 December 2016
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Within the framework of weak continuous functions (with the topology of weak uniform convergence), and for Henstock-Kurzweil-Pettis integrals, the authors obtain conditions for the existence of solutions of a class of nonlinear integral equations which can be seen as nonlinear Fredholm integral equations expressed as a perturbation of linear equations.
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weak solutions
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Henstock-Kurzweil-Pettis integral
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nonlinear integral equation
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measure of weak noncompactness
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nonlinear Fredholm integral equation
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