Yu. E. Anikonov, M. V. Neshchadim, “On analytical methods in the theory of inverse problems for hyperbolic equations. I”, Sib. Zh. Ind. Mat., 14:1 (2011), 27–39; J. Appl. Industr. Math., 5:4 (2011), 506

Sibirskii Zhurnal Industrial'noi Matematiki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 1, Pages 27–39 (Mi sjim648)

This article is cited in 25 scientific papers (total in 25 papers)

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

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

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

Full-text PDF (259 kB) Citations (25)

References:

PDF

HTML

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 multidimensional inverse problems.

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

Received: 16.04.2010

English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 4, Pages 506–518
DOI: https://doi.org/10.1134/S1990478911040053

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. I”, Sib. Zh. Ind. Mat., 14:1 (2011), 27–39; J. Appl. Industr. Math., 5:4 (2011), 506–518

Citation in format AMSBIB

\Bibitem{AniNes11}

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

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

\jour Sib. Zh. Ind. Mat.

\yr 2011

\vol 14

\issue 1

\pages 27--39

\mathnet{http://mi.mathnet.ru/sjim648}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2951441}

\transl

\jour J. Appl. Industr. Math.

\yr 2011

\vol 5

\issue 4

\pages 506--518

\crossref{https://doi.org/10.1134/S1990478911040053}

Linking options:

https://www.mathnet.ru/eng/sjim648

https://www.mathnet.ru/eng/sjim/v14/i1/p27

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 25 articles:

A. V. Banschikov, A. V. Lakeev, V. A. Rusanov, “O polilineinoi differentsialnoi realizatsii determinirovannogo dinamicheskogo khaosa v klasse uravnenii vysshikh poryadkov s zapazdyvaniem”, Izv. vuzov. Matem., 2023, no. 10, 3–21
A. V. Banshchikov, A. V. Lakeev, V. A. Rusanov, “Polylinear Differential Realization of Deterministic Dynamic Chaos in the Class of Higher Order Equations with Delay”, Russ Math., 67:10 (2023), 39
Yinxia Gao, Dungang Li, Fan Yang, Xiaoxiao Li, “Fractional Landweber Iterative Regularization Method for Solving the Inverse Problem of Time-Fractional Schrödinger Equation”, Symmetry, 14:10 (2022), 2010
Yu. E. Anikonov, “A uniqueness theorem for an inverse kinematic seismic problem”, J. Appl. Industr. Math., 14:1 (2020), 1–5
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
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
Lakeyev A.V., Linke Yu.E., Rusanov V.A., “Realization of a Polylinear Controller as a Second-Order Differential System in a Hilbert Space”, Differ. Equ., 53:8 (2017), 1070–1081
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
Rusanov V.A., Lakeev A.V., Linke Yu.E., “Solvability of Differential Realization of Minimum Dynamic Order For a Family of Nonlinear Input-Output Processes in Hilbert Space”, Differ. Equ., 51:4 (2015), 533–547
M. V. Neshchadim, “Sphere Generalized Functional Invariant Solutions of Wave Equation”, J. Math. Sci., 211:6 (2015), 805–810
Yu. E. Anikonov, N. B. Ayupova, “The Hopf–Cole transformation and multidimensional representations of solutions to evolution equations”, J. Appl. Industr. Math., 9:1 (2015), 11–17

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

Сибирский журнал индустриальной математики

Statistics & downloads:
Abstract page:	541
Full-text PDF :	140
References:	74
First page:	6

Что такое QR-код?

Registration to the website

Logotypes