Geodesic
Relaxation cycles of differential-difference equations
Izvestiya. Mathematics , Tome 41 (1993) no. 1, pp. 75-94

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

Equations of this type are widely used in the mathematical modeling of many biophysical processes. An informative example from mathematical ecology is used below to expound ways for constructing the asymptotics of their relaxation cycles of finite amplitude, along with methods of asymptotic integration of variational equations. An important resume of our investigation: the further development of the theory of relaxation oscillations of differential-difference equations is connected with the study of examples from various areas of the natural sciences. 
@article{IM2_1993_41_1_a3,
     author = {A. Yu. Kolesov and Yu. S. Kolesov},
     title = {Relaxation cycles of differential-difference equations},
     journal = {Izvestiya. Mathematics },
     pages = {75--94},
     publisher = {mathdoc},
     volume = {41},
     number = {1},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1993_41_1_a3/}
}
TY  - JOUR
AU  - A. Yu. Kolesov
AU  - Yu. S. Kolesov
TI  - Relaxation cycles of differential-difference equations
JO  - Izvestiya. Mathematics 
PY  - 1993
SP  - 75
EP  - 94
VL  - 41
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1993_41_1_a3/
LA  - en
ID  - IM2_1993_41_1_a3
ER  - 
%0 Journal Article
%A A. Yu. Kolesov
%A Yu. S. Kolesov
%T Relaxation cycles of differential-difference equations
%J Izvestiya. Mathematics 
%D 1993
%P 75-94
%V 41
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1993_41_1_a3/
%G en
%F IM2_1993_41_1_a3
A. Yu. Kolesov; Yu. S. Kolesov. Relaxation cycles of differential-difference equations. Izvestiya. Mathematics , Tome 41 (1993) no. 1, pp. 75-94. http://geodesic.mathdoc.fr/item/IM2_1993_41_1_a3/