Yu. E. Anikonov, M. V. Neshchadim, “On analytical methods in the theory of inverse problems for hyperbolic equations. II”, Sib. Zh. Ind. Mat., 14:2 (2011), 28–33; J. Appl. Industr. Math., 6:1 (2012), 6

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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 2, Pages 28–33 (Mi sjim663)

This article is cited in 20 scientific papers (total in 20 papers)

On analytical methods in the theory of inverse problems for hyperbolic equations. II

Yu. E. Anikonov^ab, M. V. Neshchadim^ab

^a Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
^b Novosibirsk State University, Novosibirsk, RUSSIA

Full-text PDF (200 kB) Citations (20)

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Abstract: Some new representations are given for the solutions and coefficients of the equations of mathematical physics. These representations have the form of differential-algebraic identities and are partially used in studying one-dimensional inverse problems.

Keywords: inverse problems of mathematical physics, analytic methods of solution.

Received: 16.04.2010

English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 1, Pages 6–11
DOI: https://doi.org/10.1134/S1990478912010024

Bibliographic databases:

Document Type: Article

UDC: 517.9

Language: Russian

Citation: Yu. E. Anikonov, M. V. Neshchadim, “On analytical methods in the theory of inverse problems for hyperbolic equations. II”, Sib. Zh. Ind. Mat., 14:2 (2011), 28–33; J. Appl. Industr. Math., 6:1 (2012), 6–11

Citation in format AMSBIB

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\by Yu.~E.~Anikonov, M.~V.~Neshchadim

\paper On analytical methods in the theory of inverse problems for hyperbolic equations.~II

\jour Sib. Zh. Ind. Mat.

\yr 2011

\vol 14

\issue 2

\pages 28--33

\mathnet{http://mi.mathnet.ru/sjim663}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962151}

\transl

\jour J. Appl. Industr. Math.

\yr 2012

\vol 6

\issue 1

\pages 6--11

\crossref{https://doi.org/10.1134/S1990478912010024}

Linking options:

https://www.mathnet.ru/eng/sjim663

https://www.mathnet.ru/eng/sjim/v14/i2/p28

Cycle of papers

On analytical methods in the theory of inverse problems for hyperbolic equations. I
Yu. E. Anikonov, M. V. Neshchadim
Sib. Zh. Ind. Mat., 2011, 14:1, 27–39
On analytical methods in the theory of inverse problems for hyperbolic equations. II
Yu. E. Anikonov, M. V. Neshchadim
Sib. Zh. Ind. Mat., 2011, 14:2, 28–33

This publication is cited in the following 20 articles:

Allaberen Ashyralyev, Haitham Al-Hazaimeh, “An Operator Method for Investigation of the Stability of Time-Dependent Source Identification Telegraph Type Differential Problems”, Symmetry, 15:10 (2023), 1957
V. A. Rusanov, A. V. Lakeyev, A. V. Banshchikov, A. V. Daneev, “On the Bilinear Second Order Differential Realization of an Infinite-Dimensional Dynamical System: An Approach Based on Extensions to M2-Operators”, Fractal Fract, 7:4 (2023), 310 $https://doi.org/10.3390/fractalfract7040310$
Allaberen Ashyralyev, Haitham Al-Hazaimeh, Charyyar Ashyralyyev, “Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem”, Comp. Appl. Math., 42:8 (2023)
A. V. Lakeyev, Yu. E. Linke, V. A. Rusanov, “On the differential realization of a second-order bilinear system in a Hilbert space”, J. Appl. Industr. Math., 13:2 (2019), 261–269
M. V. Neshchadim, A. A. Simonov, “Functional invariant solutions to Maxwell's system: dependence on time”, J. Appl. Industr. Math., 13:2 (2019), 290–301
Ashyralyev A. Emharab F., “Source Identification Problems For Hyperbolic Differential and Difference Equations”, J. Inverse Ill-Posed Probl., 27:3 (2019), 301–315
Yu. E. Anikonov, M. V. Neshchadim, “Generalized Cole–Hopf transformation”, J. Appl. Industr. Math., 12:3 (2018), 409–416
Ashyralyev A. Emharab F., “Identification Hyperbolic Problems With the Neumann Boundary Condition”, Bull. Karaganda Univ-Math., 91:3 (2018), 89–98
Anikonov Yu.E., Ayupova N.B., “Remarks on Identification Theory”, Sib. Electron. Math. Rep., 15 (2018), 1091–1102
Yu. E. Anikonov, N. B. Ayupova, M. V. Neshchadim, “Ray method and questions of identification of the elasticity theory equations”, J. Math. Sci., 246:6 (2020), 738–754
M. V. Neshchadim, “Functional-invariant solutions to the Maxwell system”, J. Appl. Industr. Math., 11:1 (2017), 107–114
Yu. E. Anikonov, N. B. Ayupova, “Ray expansions and identities for the second order equations with applications to inverse problems”, J. Math. Sci., 231:2 (2018), 111–123
M. V. Neshchadim, “Generalized functional invariant solutions of wave equation for dimension 2”, J. Math. Sci., 237:4 (2019), 569–575
Yu. E. Anikonov, M. V. Neshchadim, “The method of differential relations and nonlinear inverse problems”, J. Appl. Industr. Math., 9:3 (2015), 317–327
Yu. E. Anikonov, M. V. Neshchadim, “Differential identities for nonlinear equations with partial derivatives”, J. Math. Sci., 215:4 (2016), 436–443
Yu. E. Anikonov, M. V. Neshchadim, “Algebra-analytical ways of constructing solutions of differential equations and inverse problems”, J. Math. Sci., 215:4 (2016), 444–459
M. V. Neshchadim, “Sphere Generalized Functional Invariant Solutions of Wave Equation”, J. Math. Sci., 211:6 (2015), 805–810
M. V. Neschadim, “Klassy obobschennykh funktsionalno invariantnykh reshenii volnovogo uravneniya. I”, Sib. elektron. matem. izv., 10 (2013), 418–435
Yu. E. Anikonov, N. B. Ayupova, V. G. Bardakov, V. P. Golubyatnikov, M. V. Neschadim, “Obratimost otobrazhenii i obratnye zadachi”, Sib. elektron. matem. izv., 9 (2012), 382–432
Yu. E. Anikonov, M. V. Neshchadim, “Representations for the solutions and coefficients of second-order differential equations”, J. Appl. Industr. Math., 7:1 (2013), 15–21

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Сибирский журнал индустриальной математики

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