The boundary value problem is considered provided that f : [0, +∞) → [0, +∞) is Lipschitzian and is continuous and Lipschitzian in xand x′. We assume that f is bounded by two linear functions kx and lx, where k > l > 0, and h is bounded. We find the conditions on (λ, µ) which guarantee the existence of a solution to the problem. These conditions are of geometrical nature.
Gritsans, A., & Sadyrbaev, F. (2012). Nonlinear problems with asymmetric principal part. Mathematical Modelling and Analysis, 17(2), 217-226. https://doi.org/10.3846/13926292.2012.661697
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is considered provided that f : [0, +∞) → [0, +∞) is Lipschitzian and 
is continuous and Lipschitzian in xand x′. We assume that f is bounded by two linear functions kx and lx, where k > l > 0, and h is bounded. We find the conditions on (λ, µ) which guarantee the existence of a solution to the problem. These conditions are of geometrical nature.