On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces
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AbstractThe existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces. We utilize the strategy of measure of noncompactness related to the Darbo fixed point principle. As an application, we discuss the presence of solution of the initial value problem with nonlocal conditions.
2015 ◽
Vol 13
(5)
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pp. 2691-2707
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2012 ◽
Vol 387
(1)
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pp. 419-432
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2014 ◽
Vol 12
(3)
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pp. 901-920
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2018 ◽
Vol 48
(6)
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pp. 1743-1762
2020 ◽
Vol 14
(04)
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pp. 181-195
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