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Nikitin, Andrey Gennadievich
Statistics Math-Net.Ru
Total publications: 17
Scientific articles: 17

Number of views:
This page:647
Abstract pages:3559
Full texts:1484
References:353
Associate professor
Doctor of physico-mathematical sciences (2009)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 20.02.1958
E-mail: ,
Keywords: singular perturbations, asymptotic solutions, boundary and internal layers.
UDC: 519.642.2, 519.624.2

Subject:

Singularly perturbed differential equations.
   
Main publications:
  • Nefedov N. N. and Nikitin A. G., Elaboration of the Asymptotic Method of Differential Inequalities for Step-Like Solutions to Singularly Perturbed Integro-Differential Equations, Zh. Vychisl. Mat. Mat. Fiz., 2001. vol. 41. no. 7. pp. 1057–1066.
  • Nefedov N. N. and Nikitin A. G., The Asymptotic Method of Differential Inequalities for Singularly Perturbed Integro-Differential Equations, Differ. Uravn., 2000. vol. 36. no. 10. pp. 1398–404.

https://www.mathnet.ru/eng/person34756
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/363705
Full list of publications: Download file (25 kB)

Publications in Math-Net.Ru Citations
2024
1. E. I. Nikulin, V. T. Volkov, A. G. Nikitin, “On contrast structures in a problem of the baretting effect theory”, TMF, 220:1 (2024),  154–163  mathnet  mathscinet; Theoret. and Math. Phys., 220:1 (2024), 1193–1200  scopus
2012
2. N. N. Nefedov, A. G. Nikitin, “The initial boundary value problem for a nonlocal singularly perturbed reaction–diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1042–1047  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:6 (2012), 926–931  isi  elib  scopus 7
2011
3. N. N. Nefedov, A. G. Nikitin, “Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor”, Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1081–1090  mathnet  mathscinet; Comput. Math. Math. Phys., 51:6 (2011), 1011–1019  isi  scopus 3
2007
4. N. N. Nefedov, A. G. Nikitin, “The Cauchy problem for a singularly perturbed integro-differential Fredholm equation”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  655–664  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:4 (2007), 629–637  scopus 18
2006
5. N. N. Nefedov, A. G. Nikitin, “Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case”, Differ. Uravn., 42:5 (2006),  690–700  mathnet  mathscinet; Differ. Equ., 42:5 (2006), 739–749 6
6. N. N. Nefedov, A. G. Nikitin, T. A. Urazgil'dina, “The Cauchy problem for a singularly perturbed Volterra integro-differential equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  805–812  mathnet  mathscinet; Comput. Math. Math. Phys., 46:5 (2006), 768–775  scopus 10
2001
7. N. N. Nefedov, A. G. Nikitin, “Asymptotic stability of contrasting structures of step-like data type in singularly perturbed integro-differential equations in two-dimensional case”, Matem. Mod., 13:12 (2001),  65–74  mathnet  mathscinet  zmath 1
8. N. N. Nefëdov, A. G. Nikitin, “Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:7 (2001),  1057–1066  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:7 (2001), 1005–1014 7
2000
9. N. N. Nefedov, A. G. Nikitin, “The asymptotic method of differential inequalities for singularly perturbed integro-differential equations”, Differ. Uravn., 36:10 (2000),  1398–1404  mathnet  mathscinet; Differ. Equ., 36:10 (2000), 1544–1550 14
1999
10. A. G. Nikitin, A. P. Petrov, “Passage to the limit with respect to a small parameter for the eigenvalues of a singularly perturbed Sturm–Liouville problem”, Differ. Uravn., 35:6 (1999),  843–845  mathnet  mathscinet; Differ. Equ., 35:6 (1999), 850–853
11. A. G. Nikitin, “On the principal eigenfunction of a singularly perturbed Sturm–Liouville problem”, Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  588–591  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:4 (1999), 560–563 1
1996
12. A. B. Vasil'eva, A. G. Nikitin, “On the stability of periodic contrast structures in the spatially two-dimensional case”, Differ. Uravn., 32:10 (1996),  1355–1361  mathnet  mathscinet; Differ. Equ., 32:10 (1996), 1351–1357 4
1995
13. A. B. Vasil'eva, A. G. Nikitin, A. P. Petrov, “The asymptotic method of investigation of contrast structures and it application to the theory of hydromagnetic dynamo”, Matem. Mod., 7:2 (1995),  61–71  mathnet  mathscinet  zmath 4
1991
14. A. A. Kudryavtsev, A. G. Nikitin, “Recombination kinetics of atomic ions in dense low-temperature nonisothermal plasmas”, TVT, 29:4 (1991),  625–632  mathnet; High Temperature, 29:4 (1991), 483–488  isi  scopus
1990
15. V. F. Butuzov, A. G. Nikitin, “A singularly perturbed system of equations of elliptic type”, Differ. Uravn., 26:2 (1990),  271–278  mathnet  mathscinet; Differ. Equ., 26:2 (1990), 207–213
1988
16. V. F. Butuzov, A. G. Nikitin, “An angular boundary layer in the asymptotics of the solution of a singularly perturbed system of equations of elliptic type”, Differ. Uravn., 24:2 (1988),  343–345  mathnet  mathscinet  zmath
1981
17. V. F. Butuzov, A. G. Nikitin, “On a system of singularly perturbed equations of elliptic type”, Differ. Uravn., 17:10 (1981),  1779–1791  mathnet  mathscinet  zmath

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