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Vrábeľ, Róbert
Quasilinear and quadratic singularly perturbed Neumann's problem. (English). Mathematica Bohemica, vol. 123 (1998), issue 4, pp. 405-410
MSC: 05C10, 05C75, 34B15, 34B20, 34E15 | MR 1667112 | Zbl 0937.34023 | DOI: 10.21136/MB.1998.125970
Keywords:
singular perturbation; Neumann's problem
Summary:
The problem of existence and asymptotic behaviour of solutions of the quasilinear and quadratic singularly perturbed Neumann's problem as a small parameter at the highest derivative tends to zero is studied.
References:
[1] V. Šeda: On some non-linear boundary value problems for ordinary differential equations. Arch. Math. (Brno) 25 (1989), 207-222. MR 1188065
[2] R. Vrábeľ: Upper and lower solutions for singularly perturbed Neumann's problem. Math. Bohem. 122 (1997), 175-180. MR 1460947
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