Geodesic
The Mathieu equation near the boundaries of the second and third resonance zones
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2021), pp. 27-34

Voir la notice de l'article provenant de la source Math-Net.Ru

A second order differential equation with periodic coefficients is considered. The reduction of this equation to a first order nonlinear equation is shown. The fourth approximation of the second resonance zone and the third approximation of the third resonance zone are constructed for the Mathieu's equation describing the behavior of solutions near the boundaries of these zones. 
@article{VMUMM_2021_6_a4,
     author = {V. M. Budanov and L. F. Davudova},
     title = {The {Mathieu} equation near the boundaries of the second and third resonance zones},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {27--34},
     publisher = {mathdoc},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2021_6_a4/}
}
TY  - JOUR
AU  - V. M. Budanov
AU  - L. F. Davudova
TI  - The Mathieu equation near the boundaries of the second and third resonance zones
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2021
SP  - 27
EP  - 34
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2021_6_a4/
LA  - ru
ID  - VMUMM_2021_6_a4
ER  - 
%0 Journal Article
%A V. M. Budanov
%A L. F. Davudova
%T The Mathieu equation near the boundaries of the second and third resonance zones
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2021
%P 27-34
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_2021_6_a4/
%G ru
%F VMUMM_2021_6_a4
V. M. Budanov; L. F. Davudova. The Mathieu equation near the boundaries of the second and third resonance zones. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2021), pp. 27-34. http://geodesic.mathdoc.fr/item/VMUMM_2021_6_a4/