A. S. Kholodovskii, S. E. Kholodovskii, “Fourier quasi-integral expansions of functions and their applications to the solution of boundary value problems”, Differ. Uravn., 40:10 (2004), 1412–1416; Differ. Equ., 40:10 (2004), 1491

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Differentsial'nye Uravneniya, 2004, Volume 40, Number 10, Pages 1412–1416 (Mi de11163)

This article is cited in 10 scientific papers (total in 10 papers)

Partial Differential Equations

Fourier quasi-integral expansions of functions and their applications to the solution of boundary value problems

A. S. Kholodovskii, S. E. Kholodovskii

Transbaikal State Pedagogical University

Full-text PDF (596 kB) Citations (10)

Received: 16.06.2003

English version:
Differential Equations, 2004, Volume 40, Issue 10, Pages 1491–1495
DOI: https://doi.org/10.1007/s10625-004-0016-y

Bibliographic databases:

Document Type: Article

UDC: 517.956

Language: Russian

Citation: A. S. Kholodovskii, S. E. Kholodovskii, “Fourier quasi-integral expansions of functions and their applications to the solution of boundary value problems”, Differ. Uravn., 40:10 (2004), 1412–1416; Differ. Equ., 40:10 (2004), 1491–1495

Citation in format AMSBIB

\Bibitem{KhoKho04}

\by A.~S.~Kholodovskii, S.~E.~Kholodovskii

\paper Fourier quasi-integral expansions of functions and their applications to the solution of boundary value problems

\jour Differ. Uravn.

\yr 2004

\vol 40

\issue 10

\pages 1412--1416

\mathnet{http://mi.mathnet.ru/de11163}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2200016}

\transl

\jour Differ. Equ.

\yr 2004

\vol 40

\issue 10

\pages 1491--1495

\crossref{https://doi.org/10.1007/s10625-004-0016-y}

Linking options:

https://www.mathnet.ru/eng/de11163

https://www.mathnet.ru/eng/de/v40/i10/p1412

This publication is cited in the following 10 articles:

A. A. Kornuta, V. A. Lukianenko, “Stability of Structures and Asymptotics of Nonlinear Parabolic Type Equations Solutions with Transformation of Arguments”, Lobachevskii J Math, 42:14 (2021), 3468
A.V. Razgulin, S.V. Sazonova, “Hopf bifurcation in diffusive model of nonlinear optical system with matrix fourier filtering”, Communications in Nonlinear Science and Numerical Simulation, 77 (2019), 288
S.S. Budzinskiy, A.V. Larichev, A.V. Razgulin, “Reducing dimensionality to model 2D rotating and standing waves in a delayed nonlinear optical system with thin annulus aperture”, Nonlinear Analysis: Real World Applications, 44 (2018), 559
S.S. Budzinskiy, A.V. Razgulin, “Rotating and standing waves in a diffractive nonlinear optical system with delayed feedback under O (2) Hopf bifurcation”, Communications in Nonlinear Science and Numerical Simulation, 49 (2017), 17
A. V. Razgulin, S. V. Sazonova, “On the matrix Fourier filtering problem for a class of models of nonlinear optical systems with a feedback”, Comput. Math. Math. Phys., 57:9 (2017), 1385–1403
A. L. Skubachevskii, “Boundary-value problems for elliptic functional-differential equations and their applications”, Russian Math. Surveys, 71:5 (2016), 801–906
A. V. Razgulin, T. E. Romanenko, “Rotating waves in parabolic functional differential equations with rotation of spatial argument and time delay”, Comput. Math. Math. Phys., 53:11 (2013), 1626–1643
S. E. Kholodovskii, “A method of Fourier series for solution of problems in piecewise inhomogeneous domains with rectilinear crack (screen)”, Comput. Math. Math. Phys., 48:7 (2008), 1140–1144
E. P. Belan, “Optical buffering in stationary structures”, Cybern Syst Anal, 44:5 (2008), 680
S. E. Kholodovskii, “A method of convolution of Fourier expansions as applied to solving boundary value problems with intersecting interface lines”, Comput. Math. Math. Phys., 47:9 (2007), 1489–1495

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

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