The event was held with the financial support of the Russian Foundation for Basic Research, Project No. 17-01-20285 G, and partial support of the Ministry of Education and Science of Russia (the basic part of the state task 1.6958.2017/8.9).

- Preface 1-2

- The WENO high-order accuracy algorithm for modeling combustion of an oxygen-hydrogen mixture 3-9

R. V. Zhalnin, E. E. Peskova, V. F. Tishkin- Integrable systems with dissipation on the tangent bundle of two-dimensional manyfold 10-21

M. V. Shamolin- Software development for compose of rate equations by basic walk 22-25

A. S. Ismagilova, Z. A. Khamidullina, S. I. Spivak- Investigation of stability of a solution of mathematical model of a pipeline dynamics 26-31

P. A. Velmisov, P. A. Shamanaev, O. S. Yazovtseva- Development mathematical support and software for chemical processes simulation 32-40

A. S. Ismagilova, S. I. Spivak- Mathematical model of medical insurance 41-44

S. I. Spivak, G. K. Khisametdinova- The nonlocal boundary value problem with constant coefficients for the mixed type of equation of the second kind the second order in a rectangle 45-54

S. Z. Dzhamalov- The method for determining the elastic-plastic characteristics of a thin-walled aircraft construction by a known deformation for a differential model of a stress-strain state 55-66

A. Snegurenko, V. Kostin, S. Novikova- The Cauchy problem in partial derivatives, as a mathematical model for determining threshold concentrations of metal cations in surface waters for drinking water supply 67-74

S. V. Novikova, Y. A. Tunakova, V. S. Valiev, G. N. Gabdrahmanova- Analysis of the scenario of limit cycle bifurcations phase system of differential equations 75-79

S. S. Mamonov, A. O. Kharlamova- A necessary condition for conjugacy of diffeomorphisms of Smale-Vietoris 80-83

N. V. Isaenkova, E. V. Zhuzhoma- Normalizing factor of the Laplace-Beltrami’s equation fundamental solution 84-89

R. M. Mavlyaviyev, I. B. Garipov- On the convergence of the solution of a three-layer perturbed difference scheme to the solution of an abstract ill-posed Cauchy problem 90-96

M. A. Sultanov- Algorithm of neural network method for creep model prameter identification problem 97-100

E. B. Kuznetsov, S. S. Leonov, A. N. Vasilyev- Mathematical formulation of a thermoelasticity problem for a biotechnical system "tibia bone–TRKh plate–screws" 101-104

E. Y. Belova- Transverse vibrations of a viscoelastic rope of variable length lying on an elastic base 105-114

V. L. Litvinov, V. N. Anisimov, I. V. Korpen, S. N. Kosinova- An accuracy of difference schemes for nonlinear elliptic equations with unbounded nonlinearity 115-118

F. V. Lubyshev, M. E. Fairuzov, A. R. Manapova- Inverse problem solution for the dynamic stochastic system by the example of a aircraft gas turbine engine control 119-130

S. V. Novikova, A. P. Snegurenko- Mathematical modeling of gas-liquid mixture flow 131-140

V. N. Petrov, V. I. Anfinogentov, S. L. Malyshev, L. A. Akhmetzyanova, S. V. Petrov- First integrals of reducible completely solvable systems of equations in total differentials 141-152

A. F. Pranevich- A time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions 153-161

E. I. Azizbayov, Y. T. Mehraliyev- Theoretical-experimental method for determining physical and mechanical parameters of viscoelastic material of composite torsion of helicopter main rotor 162-169

I. N. Sidorov, A. V. Gorelov, L. P. Shabalin- Analytical solutions to the FENE-P model with slip boundary conditions 170-176

E. S. Baranovskii- A refinement of the equation for the deflection of a circular membrane based on variable coefficients in the qualified Euler method 177-180

D. A. Tarkhov, P. I. Vasilyev, D. A. Semenova, I. A. Shishkina- Dynamic model of reforestation works 181-184

I. U. Zulkarnay- The Lorentz system in the study of logging processes 185-190

G. R. Islakaeva, I. U. Zulkarnay- Processing of the results of technological experiments by the method of grids using various modifications of the vapor discharge 191-197

Z. Yakupov, R. Galimova- Joint solution of the Schrödinger, Poisson and Boltzmann differential equations in a semiconductor heterostructure 198-204

A. S. Safoshkin, A. B. Dubois, K. V. Bukhensky, S. I. Kucheryavyy, G. S. Lukyanova, D. A. Zenkov, D. S. Kryuchkov- Reconstruction of the initial profile of the shock wave by Neural Network method 205-209

D. A. Tarkhov, T. A. Shemyakina, A. R. Belyaewa, T. T. Kaverzneva, I. U. Zulkarnay- Identification of the heating model plastic injection molding machines 210-218

D. V. Ivanov, A. V. Ivanov, I. L. Sandler, N. V. Chertykovtseva- Solving the non-local boundary value problem for Laplace equations 219-223

Y. F. Nurgalieva, Y. K. Sabitova- Peculiarities of solving the integridifferential Maxwell equations and excitation of the surface polariton on the planar structure 224-231

A. S. Safoshkin, A. B. Dubois, K. V. Bukhensky, S. I. Kucheryavyy, G. S. Lukyanova, A. A. Strelnikov, A. S. Lachugin- Research of fluid flow processes in the reservoir with dual porosity 232-235

Y. O. Bobreneva, A. Y. Davletbaev, I. M. Gubaydullin- Mathematical modeling of the process of thermoplastic deformation of a thin circular disk 236-247

M. A. Artemov, E. S. Baranovskii, I. I. Pereyaslavskaya- On Stability of Nonlinear Nonstationary Discrete Volterra Type Systems 248-254

A. S. Andreev, E. A. Kudashova- Modelling of temperature fields by functioning of gaseous-discharge lamps with cylindrical electrodes 255-266

I. N., G. A. Kurnosov- Numerical investigation of the bifurcation diagram and invariant domains of logistic mapping in the complex plane 267-272

Y. N. Deryugin, E. Y. Kireicheva, T. F. Mamedova, A. V. Pukhkoy- Determination of the scattering coefficient in the problem of the remote sensing 273-283

A. A. Sushchenko, P. A. Vornovskikh- On finite-element approximation of functions in a plain domain with curvilinear boundary 284-292

I. V. Zakharova- A mathematical model of the reaction of methylation of primary amines with dimethylcarbonate in the form of differential equations taking into account the active surface of the catalyst 293-296

A. F. Mullayanova, Y. Y. Mayakova, K. F. Koledina, I. M. Gubaidullin- On the control problem for three-link manipulator 297-304

A. S. Andreev, D. S. Makarov- Economic optimization based on the kinetic model of the reaction of dimethylcarbonate with alcohols in the presence of octacarbonyldicobalt 305-310

S. N. Koledin, K. F. Koledina, I. M. Gubaydullin- Numerical methods for integral dynamic models with nonlinear delays 311-317

A. N. Tynda, D. N. Sidorov, I. R. Muftahov- The application of the comparison principle to the study of the properties of solutions of the Rayleigh differential equation 318-321

T. A. Gorshunova- On analytical methods of heat conduction modelling in the system “well + rock bed” 322-329

A. O. Syromyasov, T. V. Menshakova- On many-valued solutions of two-dimensional linear parabolic equations 330-340

V. M. Zhuravlev, V. M. Morozov- Investigation of the copolymerization of alphamethylstyrene with maleic anhydride by mathematical modeling methods 341-347

I. V. Grigoryev, S. A. Mustafina- The determination of the potential q (x) in terms of natural frequencies of oscillations 348-352

I. M. Utyashev- The stability of solutions for a non-linear system of finite-difference equations with respect to part of the variables 353-359

E. V. Afinogentova- On the stability of singular homogeneous systems 360-363

A. A. Kosov, M. V. Kozlov- On homoclinic attractors in three-dimension systems with constant divergency 364-369

A. O. Kazakov, A. D. Kozlov, A. G. Korotkov- On attractors and repellers of codimension one 370-374

V. Z. Grines, E. D. Kurenkov- Connective estimates of errors in the linearization of nonlinear systems 375-380

O. V. Druzhinina, A. V. Shchennikov, E. V. Shchennikova, V. N. Shchennikov- On control of dynamic of a pipeline in the case of its dynamic instability 381-390

P. A. Velmisov, A. V. Gladun- Mathematical modeling and assessment of nonlinear dynamics of the state of basic production assets of AIC 391-397

V. G., T. F. Mamedova, O. E. Kaledin- On the growth of the number of non-compact heteroclinic curves 398-402

V. Grines, E. Gurevich, O. Pochinka, A. Shilovskaya- On the classification of complete affine foliations respectively the strong transversal equivalence 403-407

N. I. Zhukova- Periodic data of polar 2-diffeomorphisms with one saddle orbit 408-417

E. V. Nozdrinova, O. V. Pochinka- Realisation of an directed equipped bipartite graph by an Omega-stable flow on a closed surface 418-427

V. E. Kruglov, O. V. Pochinka- On a generalization of the basic model of immunology 428-441

I. V. Boikov, J. Zakharova, A. Dmitrieva- On the partial stabilization of linear systems 442-445

V. I.- Approximate solution of some types of hypersingular integral equations 446-461

I. Boikov, A. Boikova- Aspects of the practical application of standard method of calculation of atmospheric dispersion for estimation the ground level concentrations in the city 462-469

A. R. Shagidullin, J. A. Tunakova, R. R. Shagidullin- Investigation of jet flows by the small parameter method 470-475

P. A. Velmisov, U. J. Mizher, E. P. Semenova- On the stability of pipeline oscillations 476-482

P. A. Velmisov, I. A. Degtyarev, O. S. Yazovtseva- Temperature distribution over the reservoir during viscoplastic oil filtration 483-490

N. N. Morozkin- Asymptotic equivalence of difference schemes for solving Cauchy problem 491-497

S. M. Muryumin, O. S. Yazovtseva- The Riccati-type equation in the optimal control synthesis problem for a differential system with distributed parameters on the graph 498-510

V. V. Provotorov- On some generalizations of Jordan sets of linear operator-functions depending on two small parameters 511-516

P. A. Shamanaev

Federal State Budgetary Educational Institution of Higher Education "National Research Ogarev Mordovia State University", Keldysh Institute of Applied Mathematics (Russian Academy of Sciences) and Interregional Public Organization "Middle Volga Mathematical Society"; will conduct XIII international scientific conference "Differential equations and their applications in mathematical modeling" from 12 to 16 July 2017.

SECTIONS OF THE CONFERENCE

- Numerical methods for differential equations’ solving and computational physics.
- Qualitative and asymptotic methods for differential equations and their applications in mathematical modeling.
- Differential equations and their applications in physical, chemical, biological, economical and other processes.
- Partial differential equations and their applications in mathematical modeling.

Chairman of the organizing committee:

S. M. Vdovin, rector, National Research Mordovia State University (Saransk, Russia).

Chairman of the program committee:

V. F. Tishkin, corresponding member of RAS, deputy director, Keldysh Institute of Applied Mathematics (Moscow, Russia).

Academic secretary:

P. А. Shamanaev, PhD in Physics and Mathematics, Docent of Applied Mathematics, Differential Equations and Theoretical Mechanics Chair, National Research Mordovia State University (Saransk, Russia).

Program Committee:

academician of RAS, E.I. Moiseev, Moscow, Russia,

D. Sc. in Phys. and Math., full professor, A.S. Andreev, Ulyanovsk, Russia,

D. Sc. in Phys. and Math., full professor, I.V. Boykov, Penza, Russia,

D. Sc. in Phys. and Math., full professor, P.A. Velmisov, Ulyanovsk, Russia,

D. Sc. in Phys. and Math., full professor, V.K. Gorbunov, Ulyanovsk, Russia,

D. Sc. in Phys. and Math., full professor, V.Z. Grines, Nizhny Novgorod, Russia,

D. Sc. in Phys. and Math., full professor, Yu.N. Derugin, Sarov, Russia,

D. Sc. in Phys. and Math., full professor, A.P. Zhabko, Saint Petersburg, Russia,

D. Sc. in Phys. and Math., full professor, A.M. Kamachkin, Saint Petersburg, Russia,

D. Sc. in Phys. and Math., full professor, E.B. Kuznetsov, Moscow, Russia,

D. Sc. in Phys. and Math., full professor, B.V. Loginov, Ulyanovsk, Russia,

D. Sc. in Phys. and Math., full professor, S.I. Martynov, Khanty-Mansiysk, Russia,

D. Sc. in Phys. and Math., full professor, N.D. Morozkin, Ufa, Russia,

D. Sc. in Phys. and Math., full professor, O.V. Pochinka, Nizhny Novgorod, Russia,

D. Sc. in Phys. and Math., full professor, I.P. Ryazantseva, Nizhny Novgorod, Russia,

D. Sc. in Tech., full professor, P.V. Senin, Saransk, Russia,

D. Sc. in Phys. and Math., full professor, S.I. Spivak, Ufa, Russia,

D. Sc. in Phys. and Math., full professor, M.T. Terehin, Ryazan, Russia,

D. Sc. in Phys. and Math., full professor,

academician of AS RUzb, Sh.A. Alimov, Kuala Lumpur, Malaysia,

D. Sc. in Phys. and Math., full professor L.I. Karandzhulov, Sofia, Bulgaria,

D. Sc. in Phys. and Math., P.P. Matus, Lublin, Poland,

D. Sc. in Phys. and Math., full professor, academician of AS RUzb, M.S. Salahitdinov, Tashkent, Uzbekistan,

PhD in Mathematics, K.S. Prodanova, Sofia, Bulgaria,

Dr. rer. nat., HDR, K. Pankrashkin, Orsay, France,

PhD in Mathematics, professor D. V. Turaev, London, United Kingdom,

D. Sc. in Phys. and Math., full professor, A.A. Glutsyuk, Lyon, France.

Organizing Committee:

PhD in Phys. and Math., Associate Professor, I.I. Chuchaev, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, L.A. Sukharev, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, R.V. Zhalnin, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, T.F. Mamedova, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, S.M. Murumin, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, D.I. Boyarkin, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, A.Yu. Pavlov, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, D.K. Egorova, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, A.N. Tynda, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, E.V. Desyaev, Saransk, Russia,

PhD in Phys. and Math., Associate Professor, A.O. Syromyasov, Saransk, Russia,

PhD in Phys. and Math., senior lecturer T.E. Badokina, Saransk, Russia,

PhD in Phys. and Math., researcher M.N. Bardina, Saransk, Russia,

PhD in Phys. and Math., lecturer, V.F. Masyagin, Saransk, Russia,

lecturer, E.E. Peskova, Saransk, Russia,

lecturer, E.N. Panushkina, Saransk, Russia,

lecturer, M.S. Kozlov, Saransk, Russia,

postgraduate, O.S. Yazovceva, Saransk, Russia,

postgraduate, F.V. Zhdanov, Saransk, Russia,

postgraduate, A.E. Kaledin, Saransk, Russia,

postgraduate, A.A. Kuzub, Saransk, Russia,

postgraduate, A.S. Mavrin, Saransk, Russia,

postgraduate, A.V. Puhkoy, Saransk, Russia,

postgraduate, D.S. Rozhaev, Saransk, Russia,

postgraduate, D.S. Sidorenko, Saransk, Russia,

postgraduate, M.S. Chelyshov, Saransk, Russia,

postgraduate, V.G. Shabanova, Saransk, Russia,

programmer, V.A. Atryahin, Saransk, Russia,

programmer, P.A. Larkin, Saransk, Russia.

**© SVMO, National Research Mordovia State University, 2018**

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