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Kolesov, Yurii Serafimovich
(1939–2009)
Statistics Math-Net.Ru
Total publications: 72
Scientific articles: 72

Number of views:
This page:2454
Abstract pages:23810
Full texts:7772
References:1772
Candidate of physico-mathematical sciences

https://www.mathnet.ru/eng/person8360
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/209906

Publications in Math-Net.Ru Citations
2010
1. Yu. S. Kolesov, O. A. Chernysheva, “Bifurcation of cycles of automatic control systems with ideal relay”, Avtomat. i Telemekh., 2010, no. 11,  38–54  mathnet  mathscinet  zmath; Autom. Remote Control, 71:11 (2010), 2291–2306  isi  scopus 1
2009
2. Yu. S. Kolesov, A. E. Khar'kov, “Features of the dynamics of nonlinear waves in plane domains”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009),  628–645  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 49:4 (2009), 606–622  isi  elib  scopus
2007
3. Yu. S. Kolesov, “The structure of the characteristic polynomials of matrices with non-negative elements”, Izv. RAN. Ser. Mat., 71:1 (2007),  5–16  mathnet  mathscinet  zmath  elib; Izv. Math., 71:1 (2007), 3–13  isi  elib  scopus 1
4. Yu. S. Kolesov, A. E. Khar'kov, “Динамика простейшей модели системы реакция-диффузия”, Model. Anal. Inform. Sist., 14:1 (2007),  19–26  mathnet
2006
5. Yu. S. Kolesov, A. S. Kirillov, “Integration of telegraph equations”, Differ. Uravn., 42:5 (2006),  620–629  mathnet  mathscinet; Differ. Equ., 42:5 (2006), 661–671
2005
6. Yu. S. Kolesov, “Proof of Levin's Half-Period Theorem”, Differ. Uravn., 41:8 (2005),  1125–1127  mathnet  mathscinet; Differ. Equ., 41:8 (2005), 1181–1184 1
7. Yu. S. Kolesov, A. E. Khar'kov, “Similarity and difference in the dynamics of plane and 3-dimensional non-linear waves”, Mat. Sb., 196:2 (2005),  57–84  mathnet  mathscinet  zmath  elib; Sb. Math., 196:2 (2005), 201–229  isi  scopus 2
2003
8. Yu. S. Kolesov, “On the Nature of Buffering”, Mat. Zametki, 74:2 (2003),  238–241  mathnet  mathscinet  zmath; Math. Notes, 74:2 (2003), 228–231  isi  scopus 1
2001
9. Yu. S. Kolesov, “Justification of the method of quasinormal forms for Hutchinson's equation with a small diffusion coefficient”, Izv. RAN. Ser. Mat., 65:4 (2001),  111–132  mathnet  mathscinet  zmath; Izv. Math., 65:4 (2001), 749–768  scopus 3
2000
10. V. V. Ganina, Yu. S. Kolesov, “Stability conditions for the inverted pendulum whose suspension point performs decaying vibrations of a special form”, Differ. Uravn., 36:2 (2000),  152–157  mathnet  mathscinet; Differ. Equ., 36:2 (2000), 175–180
11. Yu. S. Kolesov, “The attractor problem for nonlinear wave equations in plane domains”, Mat. Zametki, 68:2 (2000),  217–229  mathnet  mathscinet  zmath; Math. Notes, 68:2 (2000), 191–200  isi 4
12. Yu. S. Kolesov, “Non-classical relaxation cycle of a three-dimensional system of Lotka–Volterra equations”, Mat. Sb., 191:4 (2000),  91–106  mathnet  mathscinet  zmath; Sb. Math., 191:4 (2000), 567–581  isi  scopus 3
1999
13. Yu. S. Kolesov, A. N. Kulikov, “Bifurcation of auto-oscillations in the classical system of telegraph equations with a nonclassical nonlinear boundary condition”, Mat. Zametki, 66:6 (1999),  948–951  mathnet  mathscinet  zmath; Math. Notes, 66:6 (1999), 784–787  isi 1
14. Yu. S. Kolesov, A. A. Kochurin, “High-mode parametric resonance in the problem of increasing stability by vibrations of elastic systems”, Uspekhi Mat. Nauk, 54:5(329) (1999),  161–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:5 (1999), 1027–1028  isi  scopus 1
1998
15. Yu. S. Kolesov, “Parametric oscillations of a singularly perturbed telegraph equation with a pendulum non-linearity”, Mat. Sb., 189:3 (1998),  69–82  mathnet  mathscinet  zmath; Sb. Math., 189:3 (1998), 383–397  isi  scopus 3
1997
16. Yu. S. Kolesov, “The problem of damping auto-oscillations”, Dokl. Akad. Nauk, 352:1 (1997),  23–25  mathnet  mathscinet  zmath
17. Yu. S. Kolesov, “Stability properties of cycles and tori of a simplest nonresonant wave-type equation”, Mat. Zametki, 62:5 (1997),  744–750  mathnet  mathscinet  zmath; Math. Notes, 62:5 (1997), 623–628  isi 6
18. A. Yu. Kolesov, Yu. S. Kolesov, N. Kh. Rozov, “Chaos of 'split torus' type in three-dimensional relaxation systems”, Mat. Sb., 188:11 (1997),  3–18  mathnet  mathscinet  zmath; Sb. Math., 188:11 (1997), 1571–1586  isi  scopus
1995
19. Yu. S. Kolesov, “Bifurcation of auto-oscillations in a special case, close to critical, of a multiple pair of pure imaginary roots with a Jordan box”, Uspekhi Mat. Nauk, 50:6(306) (1995),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:6 (1995), 1273–1275  isi
20. Yu. S. Kolesov, “Asymptotics and stability of non-linear parametric oscillations of a singularly perturbed telegraph equation”, Mat. Sb., 186:10 (1995),  57–72  mathnet  mathscinet  zmath; Sb. Math., 186:10 (1995), 1445–1459  isi 22
21. Yu. S. Kolesov, N. Kh. Rozov, “Duck cycles of differential-difference equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 1,  12–17  mathnet  mathscinet  zmath
1994
22. Yu. S. Kolesov, “Attractors of resonance wave type equations: Discontinuous oscillations”, Mat. Zametki, 56:1 (1994),  41–49  mathnet  mathscinet  zmath; Math. Notes, 56:1 (1994), 679–684  isi 4
1993
23. Yu. S. Kolesov, “A special relaxation cycle of a system of differential-difference equations”, Izv. RAN. Ser. Mat., 57:6 (1993),  227–237  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 43:3 (1994), 607–616  isi 1
24. Yu. S. Kolesov, “Construction of a matrix with nonnegative elements from its spectrum”, Mat. Zametki, 53:1 (1993),  143–145  mathnet  mathscinet  zmath; Math. Notes, 53:1 (1993), 101–103  isi 2
25. Yu. S. Kolesov, “Bifurcation of invariant tori of parabolic systems with small diffusion”, Mat. Sb., 184:3 (1993),  121–136  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 78:2 (1994), 367–378  isi 32
26. A. Yu. Kolesov, Yu. S. Kolesov, “Relaxational oscillations in mathematical models of ecology”, Trudy Mat. Inst. Steklov., 199 (1993),  3–124  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 199 (1995), 1–126 28
1992
27. Yu. S. Kolesov, “The relaxation character of the interaction of a strongly fertile population with its food base with moderate natural fluctuations”, Differ. Uravn., 28:12 (1992),  2182–2184  mathnet  mathscinet; Differ. Equ., 28:12 (1992), 1826–1828
28. A. Yu. Kolesov, Yu. S. Kolesov, “Relaxation cycles of differential-difference equations”, Izv. RAN. Ser. Mat., 56:4 (1992),  790–812  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 41:1 (1993), 75–94  isi 1
29. A. Yu. Kolesov, Yu. S. Kolesov, “Relaxation cycles in systems with delay”, Mat. Sb., 183:8 (1992),  141–159  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 76:2 (1993), 507–522  isi 2
1991
30. Yu. S. Kolesov, “Analysis of a mathematical model in ecology”, Dokl. Akad. Nauk SSSR, 316:3 (1991),  577–580  mathnet  mathscinet  zmath; Dokl. Math., 36:1 (1991), 41–42
31. Yu. S. Kolesov, “Nonlinear parametric resonance in a singularly perturbed telegraph equation”, Differ. Uravn., 27:10 (1991),  1828–1829  mathnet  mathscinet  zmath 3
1990
32. A. Yu. Kolesov, Yu. S. Kolesov, “Bifurcation of self-induced oscillations of a singularly perturbed wave equation”, Dokl. Akad. Nauk SSSR, 315:2 (1990),  281–283  mathnet  mathscinet  zmath; Dokl. Math., 42:3 (1991), 754–756 13
1989
33. A. Yu. Kolesov, Yu. S. Kolesov, “The Bogolyubov–Mitropol'skii reduction principle in the problem of parametric excitation of autowaves”, Dokl. Akad. Nauk SSSR, 307:4 (1989),  837–840  mathnet  mathscinet; Dokl. Math., 34:8 (1989), 680–681 2
34. S. D. Glyzin, Yu. S. Kolesov, “The attractor of a bilocal model of the Hutchinson equation with diffusion for a large coefficient of linear growth”, Dokl. Akad. Nauk SSSR, 307:2 (1989),  351–353  mathnet  mathscinet  zmath; Dokl. Math., 34:7 (1989), 611–612 1
35. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “A mixing attractor in relaxation systems”, Dokl. Akad. Nauk SSSR, 306:1 (1989),  38–40  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 446–448 1
36. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Chaos phenomena in three-dimensional relaxation systems”, Mat. Zametki, 46:2 (1989),  153–155  mathnet  mathscinet  zmath 2
1988
37. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Multidimensional relaxation oscillations in media with diffusion”, Dokl. Akad. Nauk SSSR, 302:6 (1988),  1312–1315  mathnet  mathscinet  zmath; Dokl. Math., 38:2 (1989), 431–434  isi 1
38. A. Yu. Kolesov, Yu. S. Kolesov, “Construction of the normal form in a neighborhood of a cycle by means of the Krylov–Bogolyubov–Mitropol'skiǐ asymptotic method”, Differ. Uravn., 24:5 (1988),  891–894  mathnet  mathscinet  zmath 1
39. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “A relaxation system in the neighbourhood of a disruption point: reduction to the regular case”, Uspekhi Mat. Nauk, 43:2(260) (1988),  141–142  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:2 (1988), 173–174  isi 7
1987
40. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Asymptotic integration of the variational system of a multidimensional relaxation cycle. II”, Differ. Uravn., 23:12 (1987),  2036–2047  mathnet  mathscinet 10
41. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Asymptotic integration of the variational system of a multidimensional relaxation cycle. I”, Differ. Uravn., 23:11 (1987),  1881–1889  mathnet  mathscinet  zmath 11
1986
42. A. B. Vasil'eva, S. A. Kashchenko, Yu. S. Kolesov, N. Kh. Rozov, “Bifurcation of self-oscillations of nonlinear parabolic equations with small diffusion”, Mat. Sb. (N.S.), 130(172):4(8) (1986),  488–499  mathnet  mathscinet  zmath; Math. USSR-Sb., 58:2 (1987), 491–503 29
1985
43. S. A. Kashchenko, Yu. S. Kolesov, “Diffusion instability of a torus”, Dokl. Akad. Nauk SSSR, 281:6 (1985),  1307–1309  mathnet  mathscinet  zmath 2
44. Yu. S. Kolesov, “A bifurcation theorem in the theory of self-oscillations of distributed systems”, Differ. Uravn., 21:10 (1985),  1709–1713  mathnet  mathscinet  zmath 8
1983
45. Yu. S. Kolesov, “On a mechanism of generating turbulence”, Uspekhi Mat. Nauk, 38:5(233) (1983),  189–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:5 (1983), 144–145  isi 1
1982
46. Yu. S. Kolesov, “Properties of solutions of a class of equations with lag which describe the dynamics of change in the population of a species with the age structure taken into account”, Mat. Sb. (N.S.), 117(159):1 (1982),  86–94  mathnet  mathscinet  zmath; Math. USSR-Sb., 45:1 (1983), 91–100 12
1981
47. Yu. S. Kolesov, “The amplitude method for constructing multifrequency oscillations of nonlinear systems with delay”, Differ. Uravn., 17:9 (1981),  1596–1602  mathnet  mathscinet
1980
48. S. A. Kaschenko, Yu. S. Kolesov, “Parametric resonance in systems with lag under two-frequency perturbation”, Sibirsk. Mat. Zh., 21:2 (1980),  113–118  mathnet  mathscinet  zmath; Siberian Math. J., 21:2 (1980), 231–235  isi 4
1979
49. Yu. S. Kolesov, “Stability of the solutions of linear differential-difference equations of neutral type”, Sibirsk. Mat. Zh., 20:2 (1979),  317–321  mathnet  mathscinet  zmath; Siberian Math. J., 20:2 (1979), 226–229  isi 2
1978
50. Yu. S. Kolesov, V. V. Maiorov, “Asymptotically sharp estimates for bounded solutions on the entire axis of inhomogeneous differential equations with a small parameter”, Differ. Uravn., 14:6 (1978),  1013–1017  mathnet  mathscinet  zmath
51. Yu. S. Kolesov, “Stability of solutions of linear differential equations of parabolic type with almost periodic coefficients”, Tr. Mosk. Mat. Obs., 36 (1978),  3–27  mathnet  mathscinet  zmath 10
1974
52. Yu. S. Kolesov, V. V. Maiorov, “A new method of investigation of the stability of the solutions of linear differential equations with nearly constant almost periodic coefficients”, Differ. Uravn., 10:10 (1974),  1778–1788  mathnet  mathscinet  zmath 22
53. S. A. Kashchenko, Yu. S. Kolesov, “A test for the stability of the solutions of singularly perturbed second order equations with periodic coefficients”, Uspekhi Mat. Nauk, 29:4(178) (1974),  171–172  mathnet  mathscinet  zmath 1
1972
54. Yu. S. Kolesov, V. I. Neprintsev, “Selfoscillations in a generator with distributed parameters”, Differ. Uravn., 8:11 (1972),  2087–2089  mathnet  mathscinet  zmath
1971
55. Yu. S. Kolesov, V. F. Chaplygin, “On nonoscillation of solutions to singularly disturbed equations of second order”, Dokl. Akad. Nauk SSSR, 199:6 (1971),  1240–1242  mathnet  mathscinet 5
56. Yu. S. Kolesov, “Properties of characteristic polynomials of matrices with non-negative elements”, Uspekhi Mat. Nauk, 26:3(159) (1971),  205–206  mathnet  mathscinet  zmath 2
1970
57. V. Sh. Burd, Yu. S. Kolesov, “The dichotomy of solutions of functional differential equations with almost periodic coefficients”, Dokl. Akad. Nauk SSSR, 195:6 (1970),  1259–1262  mathnet  mathscinet  zmath
58. Yu. S. Kolesov, “Periodic solutions of second order quasilinear parabolic equations”, Tr. Mosk. Mat. Obs., 21 (1970),  103–134  mathnet  mathscinet  zmath 5
59. V. Sh. Burd, Yu. S. Kolesov, M. A. Krasnosel'skii, “The bifurcation of the almost periodic solutions of singularly perturbed differential equations”, Uspekhi Mat. Nauk, 25:1(151) (1970),  189–190  mathnet  mathscinet  zmath
60. Yu. S. Kolesov, “Periodic solutions of relay systems with distributed parameters”, Mat. Sb. (N.S.), 83(125):3(11) (1970),  349–371  mathnet  mathscinet  zmath; Math. USSR-Sb., 12:3 (1970), 343–367 8
1969
61. Yu. S. Kolesov, “Schauder's principle, and stability of periodic solutions”, Dokl. Akad. Nauk SSSR, 188:6 (1969),  1234–1236  mathnet  mathscinet  zmath
62. V. Sh. Burd, P. P. Zabreiko, Yu. S. Kolesov, M. A. Krasnosel'skii, “The averaging principle and bifurcation of almost periodic solutions”, Dokl. Akad. Nauk SSSR, 187:6 (1969),  1219–1221  mathnet  mathscinet  zmath
63. P. P. Zabreiko, Yu. S. Kolesov, M. A. Krasnosel'skii, “Implicit functions and the averaging principle of N. N. Bogoljubov and N. M. Krylov”, Dokl. Akad. Nauk SSSR, 184:3 (1969),  526–529  mathnet  mathscinet  zmath
64. V. Sh. Burd, Yu. S. Kolesov, M. A. Krasnosel'skii, “On the existence and constancy of sign of Green's function of scalar equations of high order with almost periodic coefficients”, Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1399–1415  mathnet  mathscinet  zmath; Math. USSR-Izv., 3:6 (1969), 1319–1334
65. Yu. S. Kolesov, “Study of stability of solutions of second order parabolic equations in the critical case”, Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1356–1372  mathnet  mathscinet  zmath; Math. USSR-Izv., 3:6 (1969), 1277–1291 4
66. V. Sh. Burd, Yu. S. Kolesov, M. A. Krasnosel'skii, “Investigation of the Green's function for differential operators with almost periodic coefficients”, Izv. Akad. Nauk SSSR Ser. Mat., 33:5 (1969),  1089–1119  mathnet  mathscinet  zmath; Math. USSR-Izv., 3:5 (1969), 1027–1054 1
1968
67. Yu. S. Kolesov, “On the solvability of boundary value problems for second-order quasilinear elliptic equations”, Uspekhi Mat. Nauk, 23:2(140) (1968),  211–212  mathnet  zmath
1967
68. Yu. S. Kolesov, “Periodic solutions of a class of differential equations with hysteretic nonlinearity”, Dokl. Akad. Nauk SSSR, 176:6 (1967),  1240–1243  mathnet  mathscinet  zmath 2
69. Yu. S. Kolesov, “Positive periodic solutions of a class of differential equations of second order”, Dokl. Akad. Nauk SSSR, 172:2 (1967),  264–266  mathnet  mathscinet  zmath
1966
70. Yu. S. Kolesov, “A criterion for the existence of periodic solutions of parabolic equations”, Dokl. Akad. Nauk SSSR, 170:5 (1966),  1013–1015  mathnet  mathscinet  zmath 2
1964
71. Yu. S. Kolesov, “Some existence criteria for stable periodic solutions of quasi-linear parabolic equations”, Dokl. Akad. Nauk SSSR, 157:6 (1964),  1288–1290  mathnet  mathscinet  zmath 3
1962
72. Yu. S. Kolesov, M. A. Krasnosel'skii, “Lyapunov stability and equations with concave operators”, Dokl. Akad. Nauk SSSR, 145:6 (1962),  1217–1220  mathnet  mathscinet  zmath 1

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