We study the existence and multiplicity of solutions for a two-point boundary value problem at resonance in the first eigenvalue; the nonlinearity depends only on the first derivative and has finite limits at +/- infinity.
Habets, P., & Sanchez, L. (1997). A two-point problem with nonlinearity depending only on the derivative. SIAM Journal on Mathematical Analysis, 28(5), 1205-1211. https://doi.org/10.1137/S003614109529570X (Original work published 1997)