Existence results on the one-dimensional Dirichlet problem suggested by the piecewise linear case

M. Arias
1986 Proceedings of the American Mathematical Society  
We study the existence of solutions of a two-point boundary value problem at resonance in which the nonlinearity grows at most linearly. Sharp results for the linear growth of the nonlinearity in each direction are obtained. Jo Jo Jo r"K err < g(+oo) I sin+nxdx -g(-00) / sin-nxdx.
doi:10.1090/s0002-9939-1986-0831399-2 fatcat:isdbnxx3nvdglhtegej6p3kjae