Bifurcation of the peridical solutions. Singular perturbed ordinary and partially differential equations.
Main publications:
K. Alymkulov, “Generation of a periodic solution from a loop of a saddle-point separatrix in singularly perturbed systems”, Dokl. Akad. Nauk SSSR, 295:5 (1987), 1033–1036 (in Russian)
K. Alymkulov, Perturbed differential equations with singular poins and some problems of bifurcation tasks, Ilim, Bishkek, 1992, 118 p. (in Russian)
K. Alymkulov, “Solution of the model Lagerstrom problem”, Matematical Notes, 56:3-4 (1994), 989–993
K.A. Alymkulov, A.Z. Zulpukarov, “Uniform asymptotics of the solution of a boundary value problem for a second-order singularly perturbed equation with a weak singularity”, Dokl. Akad. Nauk, 398:5 (2004), 583–586 (in Russian)
K. Alymkulov, “Structural joining method for the solution of the model equation with a regular singular point”, Mathematical Notes, 79:5 (2006)