Vector integral equations with discontinuous right-hand side
Cammaroto, Filippo ; Cubiotti, Paolo
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 483-490 / Harvested from Czech Digital Mathematics Library
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We deal with the integral equation $u(t)=f(\int_Ig(t,z)\,u(z)\,dz)$, with $t\in I=[0,1]$, $f:\bold R^n\to\bold R^n$ and $g:I\times I\to[0,+\infty[$. We prove an existence theorem for solutions $u\in L^\infty(I,\bold R^n)$ where the function $f$ is not assumed to be continuous, extending a result previously obtained for the case $n=1$.

Publié le : 1999-01-01
Classification:  45G10,  47H04,  47H15,  47J05,  47N20 
@article{119104,
     author = {Filippo Cammaroto and Paolo Cubiotti},
     title = {Vector integral equations with discontinuous right-hand side},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {483-490},
     zbl = {1065.47505},
     mrnumber = {1732487},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119104}
}

Cammaroto, Filippo; Cubiotti, Paolo. Vector integral equations with discontinuous right-hand side. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 483-490. http://gdmltest.u-ga.fr/item/119104/

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