2018
DOI: 10.1134/s0001434618050231
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Finding Solution Subspaces of the Laplace and Heat Equations Isometric to Spaces of Real Functions, and Some of Their Applications

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Cited by 32 publications
(3 citation statements)
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“…In [4,5], the conditions of convergence of Fourier transformations were investigated. Applied aspects of approximate properties of Fourier series were considered in [6][7][8], while the properties and application of isometric classes of functions based on their Fourier series were studied in [9,10].…”
Section: Literature Analysismentioning
confidence: 99%
“…In [4,5], the conditions of convergence of Fourier transformations were investigated. Applied aspects of approximate properties of Fourier series were considered in [6][7][8], while the properties and application of isometric classes of functions based on their Fourier series were studied in [9,10].…”
Section: Literature Analysismentioning
confidence: 99%
“…This is extremely important when modeling processes for which the functional stability of complex technical systems must be guaranteed [21][22][23]. Methods of constructing the asymptotic solution of differential equations are important for hydrodynamic problems [24], for mathematical models of processes that describe phenomena where the action of internal and external destabilizing factors of an impulsive nature takes place [25,26], for heat conduction equations [27], etc.…”
Section: Introductionmentioning
confidence: 99%
“…In [5], there were found the subspaces of solutions of Laplace and thermal conductivity equations that are isometric to the spaces of real functions of one variable. In the paper [1], the authors got the subspaces of solutions of systems of Laplace and thermal conductivity equations that are isometric to spaces of real functions.…”
Section: Introductionmentioning
confidence: 99%