A singularly perturbed boundary value problem for a second-order equation in the case of variation of stabilityстатья
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Аннотация:A boundary value problem for a second-order nonlinear singularly perturbed differential equation is considered for the case in which there is variation of stability caused by the intersection of roots of the degenerate equation. By the method of differential inequalities, we prove the existence of a solution such that the limit solution is nonsmooth.