Geodesic
On systems of two singularly perturbed quasilinear second-order equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 21-28.

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A system of two quasilinear second-order equations with a small parameter standing by the second derivatives is studied. The cases where the matrix of coefficients of the first derivatives has the following eigenvalues are considered: (a) both of them have negative real parts; (b) they are of opposite sign; (c) one of them is equal to zero. To find a solution and its asymptotics, the initial-value or boundary-value problems are posed depending on the form of these eigenvalues. 
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A. B. Vasil'eva. On systems of two singularly perturbed quasilinear second-order equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 21-28. http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a2/

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