Equations with discontinuous nonlinear semimonotone operators
Buong, Nguyen
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 7-12 / Harvested from Czech Digital Mathematics Library
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The aim of this paper is to present an existence theorem for the operator equation of Hammerstein type $x+KF(x)=0$ with the discontinuous semimonotone operator $F$. Then the result is used to prove the existence of solution of the equations of Urysohn type. Some examples in the theory of nonlinear equations in $L_p(\Omega )$ are given for illustration.

Publié le : 1999-01-01
Classification:  45G10,  45N05,  47H15,  47H30,  47J05,  47N20 
@article{119060,
     author = {Nguyen Buong},
     title = {Equations with discontinuous nonlinear semimonotone operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {7-12},
     zbl = {1060.47509},
     mrnumber = {1715199},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119060}
}

Buong, Nguyen. Equations with discontinuous nonlinear semimonotone operators. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 7-12. http://gdmltest.u-ga.fr/item/119060/

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