Geodesic
Stationary States of a Delay Differentional Equation of Insect Population's Dynamics
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 5, pp. 18-34

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Relaxation oscillations in a first order differential equation with two delays are considered. On the basis of a special asymptotic big parameter method the problem of studying dynamics of an equation is reduced to the analysis of nonlinear mappings. Each cycle of these mappings corresponds to a periodic solution of the initial equation with the same stability.
Keywords: delay differential equation, large parameter, asymptotic, periodic solution. 
@article{MAIS_2012_19_5_a1,
     author = {S. A. Kaschenko},
     title = {Stationary {States} of a {Delay} {Differentional} {Equation} of {Insect} {Population's} {Dynamics}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {18--34},
     publisher = {mathdoc},
     volume = {19},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_5_a1/}
}
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S. A. Kaschenko. Stationary States of a Delay Differentional Equation of Insect Population's Dynamics. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 5, pp. 18-34. http://geodesic.mathdoc.fr/item/MAIS_2012_19_5_a1/