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)
D. A. Tursunov, K. Alymkulov, B. A. Azimov, “Asymptotics of solution of the singularly perturbed Dirichlet problem with a weak critical point”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 10:1 (2018), 21–26
2016
2.
K. Alymkulov, D. A. Tursunov, “On a method of construction of asymptotic decompositions of bisingular perturbed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12, 3–11; Russian Math. (Iz. VUZ), 60:12 (2016), 1–8
K. Alymkulov, T. D. Asylbekov, S. F. Dolbeeva, “Generalization of the Boundary Function Method for Solving Boundary-Value Problems for Bisingularly Perturbed Second-Order Differential Equations”, Mat. Zametki, 94:4 (2013), 483–487; Math. Notes, 94:4 (2013), 451–454
K. Alymkulov, A. A. Khalmatov, “A Boundary Function Method for Solving the Model Lighthill Equation with a Regular Singular Point”, Mat. Zametki, 92:6 (2012), 819–824; Math. Notes, 92:6 (2012), 751–755
K. Alymkulov, Zh. K. Zhééntaeva, “Structural joining method for the solution of the model Lighthill equation with a regular singular point”, Mat. Zametki, 79:5 (2006), 643–652; Math. Notes, 79:5 (2006), 597–605
K. Alymkulov, “On the appearance 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; Dokl. Math., 36:1 (1988), 142–145
1986
9.
K. Alymkulov, “Periodic solutions of a system that is obtained by singular
perturbation of a conservative system”, Dokl. Akad. Nauk SSSR, 286:5 (1986), 1033–1037
Full list of publications
