Geodesic
Nonnegative solutions to an integral equation and its applications to systems of boundary value problems
Electronic journal of differential equations, Tome 2009 (2009)
We study the existence of positive eigenvalues yielding nonnegative solutions to an integral equation. Also we study the positivity of solutions on specific sets. These results are obtained by using a fixed point theorem in cones and are illustrated by application to systems of boundary value problems.
Classification : 34B18, 34A34
Keywords: nonnegative solutions;integral equation, eigenvalue, systems of boundary value problems 
@article{EJDE_2009__2009__a26,
     author = {Purnaras,  Ioannis K.},
     title = {Nonnegative solutions to an integral equation and its applications to systems of boundary value problems},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1167.45002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a26/}
}
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Purnaras,  Ioannis K. Nonnegative solutions to an integral equation and its applications to systems of boundary value problems. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a26/