Application of the Leray–Schauder alternative to nonlinear singular operator equations

Ishak Altun,Kerim Koca

doi:10.1016/j.na.2009.01.015

Application of the Leray–Schauder alternative to nonlinear singular operator equations

Ishak Altun, Kerim Koca

https://doi.org/10.1016/j.na.2009.01.015

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Journal: Nonlinear Analysis	Publication Date: Jan 15, 2009
Citations: 1

Affiliation: Kırıkkale University

#Singular Equations #Nonlinear Operator Equations + Show 8 more

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Abstract

In this paper, we study the problem of existence of solution of nonlinear singular integral equations of the form { w ( z ) = Φ ( z ) + T G F ( ⋅ , w ( ⋅ ) , h ( ⋅ ) ) ( z ) h ( z ) = Φ ′ ( z ) + Π G F ( ⋅ , w ( ⋅ ) , h ( ⋅ ) ) ( z ) , z ∈ G ⊂ C .

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