Neumann problems with time singularities


In this paper we study the existence and uniqueness of solutions to a nonlinear Neumann problem for a scalar second order ordinary differential equation u = a t u + f(t, u, u), where a ∈ R \ {0}, and f(t, x, y) satisfies the Lp-Carathéodory conditions on [0, T ]× R for some p > 1. 
DOI: 10.1016/j.camwa.2010.05.019


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