Geodesic
Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities
Electronic journal of differential equations, Tome 2009 (2009)
In this paper, we study the existence of multiple nonnegative solutions for second-order boundary-value problems of differential equations with sign-changing nonlinearities. Our main tools are the fixed-point theorem in double cones and the Leggett-Williams fixed point theorem. We present also the integral kernel associated with the boundary-value problem.
Classification : 34B10, 34B18
Keywords: nonnegative solutions, fixed-point theorem in double cones, integral kernel, integral boundary conditions 
@article{EJDE_2009__2009__a47,
     author = {Xi,  Shouliang and Jia,  Mei and Ji,  Huipeng},
     title = {Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1176.34029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a47/}
}
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Xi,  Shouliang; Jia,  Mei; Ji,  Huipeng. Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a47/