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- A. Shapoval, On the Behaviour of Solutions
of Quasilinear Elliptic Inequalities in an
Unbounded Domain, Math. Notes V. 60, No 4
415 - 424 (1996)
translation from Mat. Zametki V. 60, No 4
556 - 568 (1996)
- A. Shapoval, The Integral Manifold for Nonautonomous
Nonlinear Parabolic Equations in an Unbounded Domain,
Russ. Math. Surveys No 2 (1996) p. 929;
translation from Uspehi Mat. Nauk No 5 (1996)
- A. Shapoval, On Inertial Manifold of a Nonautonomous
Evolution Differential Equation, Math. Notes
V. 61, No 2 (1997) translation from
Mat. Zametki
V. 61, No 2 317 - 320 (1997)
- A. Shapoval, The Integral Manifold of a Nonlinear
Elliptic Equation in a Cylinder, Math. Notes
V. 61 No 3 391 -395 (1997);
translation from Mat. Zametki
V. 61, No 3 476 - 480 (1997)
- A. Shapoval, Liouville's
Theorem for an Elliptic Equation
of the Second Order with Degenerating Coefficients
(in Russian), Vestnik Moskovskogo Universiteta,
Ser. 1, Matematika, Mehanika No 2
21 - 26 (1998)
- A. Shapoval, Integral Manifolds of Nonlinear Elliptic
Equations with a Small Parameter, Russ. Math. Surveys
V. 53, No 4 827 (1998);
translation from Uspehi Mat. Nauk No 5
175 (1996)
- A. Shapoval, On Boundness of one Class of Quasilinear
Parabolic Inequalities Solutions, Diff. Eq.
V. 36, No 6 845 - 847 (1998);
translation from Diff. Uravneniya
V. 36, No 6 844 - 845 (1998)
- A. Shapoval, Growth of Solutions of Non-linear
Degenerating Elliptic Inequalities in Unbounded Domains,
(in Russian), Vestnik Moskovskogo Universiteta, Ser. 1,
Matematika, Mehanika No 3 3 - 7 (2000)
- A. Shapoval, and M. Shnirman, Prediction in a
Two-polarity Model of Sandpile Type, Comp. Seism.
V. 32 225 - 236 (2001)
- A. Shapoval, Attractors of nonlinear
elliptic equations with a small
parameter, Diff. Eq. V. 37, No 9
1303 -1314 (2001);
transl. from Diff. Uravnenia
V. 37, No 12 (2001)
- A. Shapoval, M. Shnirman,
Scenarios of Large Events in the Sand-pile Model
(in Russian), Comp. Seism.
V. 33 267 - 277 (2002)
abstract (pdf)
- A. Shapoval, M. Shnirman,
Strong Events in the Sand-Pile Model,
Int. J. Mod. Phys. C, V. 15 No 2 279 - 288 (2004)
abstract
- A. Shapoval, M. Shnirman,
On Totality of the Strongest Events in the Sand-Pile
(in Russian), Comp. Seism.
V. 35 258 - 266 (2004)
- A. Shapoval, M. Shnirman,
Scaling Properties of Strong Avalanches in Sand-Pile,
Int. J. Mod. Phys. C, V. 16 No 2 341 - 348 (2005)
abstract
- A. Shapoval, M. Shnirman,
Crossover Phenomenon and Universality:
From Random Walk to Deterministic Sand-Piles Through
Random Sand-Piles,
Int. J. Mod. Phys. C, V. 16 No 12
1893 - 1908 (2005)
- A. Shapoval, M. Shnirman,
How Size of Target Avalanches Influences Prediction Efficiency,
Int. J. Mod. Phys. C, V. 17 No 12,
1777 - 1790 (2006)
- A. Shapoval, M. Shnirman,
Randmoness and Step-like Distribution of Pile Heights
in Avalanche Models,
arXiv.org:cond-mat/0605705, Eur. Phys. J. B, 59,
399 - 403 (2007)
Citebase page
- A. Shapoval,
Investments: Mathematical Methods (in Russian),
Forum, INFRA-M 96 pp. (2007)
- A. Shapoval, M. Shnirman,
Prediction Efficiency in an Avalanche Model for Different
Target Events
Izvestia, Physics of Solid Earth,
V. 44, No 6, 495 - 500 (2008),
DOI: 10.1134/S1069351308060050;
transl. from
Phizika Zemli, No 6, 61 - 67 (2008).
- V. Gisin, A. Shapoval,
Two Agent Based Models and Market Stylized Facts,
Int. J. of Pure and Applied Math.
V. 32, No 4 (2008), 521 - 527
- A. Shapoval, M. Shnirman,
Sand Density as Sandpile Descriptor,
Int. J. Mod. Phys. C
V. 19, No 6, 2008, 995-1006
- A. Shapoval, M. Shnirman,
Earthquake precursors used for predicting the largest
events in the avalanche formation model,
Izvestia, Physics of the Solid Earth V. 45,
2009, 406-413, transl. from
Phizika Zemli, No 5, 2009, 39-46
- V. Popov, A. Shapoval,
Investments: Mathematical Methods (in Russian),
2nd edition,
Forum, INFRA-M 144 pp. (2008)
- V. Gisin, A. Shapoval, E. Luneva,
Agent-based models of the stock market (in Russian)
Vestnik Finansovoj Academii V. 48, No 4, 2008, 57-67
- A. Shapoval, M. Shnirman,
A dissipative deterministic BTW model with an activation
scenario of strong events,
Izvestia, Physics of the Solid Earth V. 45,
2009, 414-423, transl. from
Phizika Zemli, No 5, 2009, 47-56
- A. Shapoval,
Predictability of the stock indices biggest falls,
In Mathematics. Computer. Education, V. 16, 2009 P. 329
- A. Shapoval, M. Shnirman,
Variable predictability in deterministic dissipative sandpile,
Nonlin. Processes Geophys., V 17, 2010, 85-91
- A. Shapoval,
Prediction problem for target events based on
the inter-event waiting time,
Physica A
V. 389, 2010, 5145-5154
- A. Shapoval, M. Shnirman,
On universality of algorithms predicting extreme events
in complex systems (in Russian),
Informatsionnye tekhnologii i vychislitel'nye sistemy,
No 1, 2011, 24-34
- A. Shapoval
Stability of a stationary critical state
in a model of cluster formation (in Russian),
Izvestia VUZov: Prikladnaya nelinejnaya dinamika,
V 19, 2011, 45-55
- A. Shapoval, V. Popov,
Numerical-analytical algorithm for estimating
the predictability of crashes (in Russian),
Matematicheskoe modelirovanie,
V 23, 2011, 65-74
- A. Shapoval, M. Shnirman,
The BTW mechanism on a self-similar image of square:
a path to unexpected exponents,
Physica A
V. 391, 2012, 15-20
- A. Kazaryan, A. Shapoval,
Time clusterring
of stock indicies’ big fall (in Russian),
PComputer Research and Modeling
V. 4, 2012, 631-638
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