Geodesic
A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability
Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 354-362

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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. 
@article{MZM_1998_63_3_a3,
     author = {V. F. Butuzov and N. N. Nefedov},
     title = {A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability},
     journal = {Matemati\v{c}eskie zametki},
     pages = {354--362},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a3/}
}
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V. F. Butuzov; N. N. Nefedov. A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 354-362. http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a3/