Geodesic
Nonlinear quadratic Volterra-Urysohn functional-integral equations in Orlicz spaces
Filomat, Tome 35 (2021) no. 9, p. 2963

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DOI

The current article discusses the existence of monotonic discontinuous solutions for general nonlinear quadratic Volterra-Urysohn functional-integral equations in Orlicz spaces E ϕ when the function ϕ satisfies the ∆ 2 −condition. The case of Lebesgue spaces L p (p > 1) are also examined. We use the arguments of measure of noncompactness with Darbo fixed point theorem to prove our results
DOI : 10.2298/FIL2109963M
Classification : 45G10, 47H30, 47N20
Keywords: Orlicz spaces, ∆2-condition, quadratic Volterra-Urysohn integral equation, monotonic solutions 
Mohamed M A Metwali. Nonlinear quadratic Volterra-Urysohn functional-integral equations in Orlicz spaces. Filomat, Tome 35 (2021) no. 9, p. 2963 . doi: 10.2298/FIL2109963M
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     title = {Nonlinear quadratic {Volterra-Urysohn} functional-integral equations in {Orlicz} spaces},
     journal = {Filomat},
     pages = {2963 },
     year = {2021},
     volume = {35},
     number = {9},
     doi = {10.2298/FIL2109963M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109963M/}
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