Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 379-383
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
The occurrence of exponential boundary layers in a second-order ordinary differential equation due to the fact that the degenerate equation has a root of multiplicity two is briefly reviewed.
[1] Vasileva A. B., Pilyugin V. S., “Singulyarno vozmuschennye kraevye zadachi s pogranichnym sloem stepennogo tipa”, Differents. ur-niya, 45:3 (2009), 314–324 | MR
[2] Gyunter N. M., Kuzmin R. O., Sbornik zadach po vysshei matematike, Gostekhizdat, M., 1949
[3] Vasileva A. B., Plotnikov A. A., Asimptoticheskaya teoriya singulyarno vozmuschennykh zadach, MGU, M., 2008
[4] Nagumo M., “Über die Difflerentialgleichung $y''=f(x,y,y')$”, Proc. Phys. Math. Soc. Japan, 19 (1937), 554–561