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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

On a class of inverse problems for a heat equationwith involution perturbation

Nasser AL-SALTİ
Mokhtar KİRANE
Berikbol T. TOREBEK
Sayfa
669–681
Yayın Tarihi
2022-10-18
DOI
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Convergence of the obtainedsolutions is also discussed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A class of inverse problems for a heat equation with involution perturbation is consideredusing four different boundary conditions, namely, Dirichlet, Neumann, periodic and anti-periodic boundary conditions.
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Temel Bulgular & Veri:Proved theorems on existence and uniqueness of solutionsto these problems are presented.
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Sonuç & Katkı:Convergence of the obtainedsolutions is also discussed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

A class of inverse problems for a heat equation with involution perturbation is consideredusing four different boundary conditions, namely, Dirichlet, Neumann, periodic and anti-periodic boundary conditions. Proved theorems on existence and uniqueness of solutionsto these problems are presented. Solutions are obtained in the form of series expansionusing a set of appropriate orthogonal basis for each problem. Convergence of the obtainedsolutions is also discussed.

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Bu Makaleye Atıf Yap

AL-SALTİ, N., KİRANE, M., TOREBEK, B. T. (2022). On a class of inverse problems for a heat equationwith involution perturbation. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 669–681. https://ajindex.com/articles/529746

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Kaynakça (2)

  1. A.R. Aftabizadeh, Y.K. Huang and J. Wiener,Bounded solutions for differentialequations with reflection of the argument, J. Math. Anal. Appl.135(1), 31–37, 1988. [2]B.D. Aliev and R.M. Aliev,Properties of the solutions of elliptic equations with de-viating arguments(Russian), in: Special Problems of Functional Analysis and theirApplications to the Theory of Differential Equations and the Theory of Functions(Russian), 15–25
  2. Izdat. Akad. Nauk Azerbaijan. SSR, Baku, 1968. [3]A.A. Andreev,On the well-posedness of boundary value problems for a partial dif-ferential equation with deviating argument(Russian), in: Analytical methods in the theory of differential and integral equations (Russian), 3–6, Kuibyshev. Gos. Univ.,Kuybyshev, 1987. [4]A.A. Andreev,Analogs of Classical Boundary Value Problems for a Second-OrderDifferential Equation with Deviating Argument, Differ. Equ.40(8), 1192–1194, 2004 [5]A. Ashyralyev and A.M. Sarsenbi,Well-posedness of an elliptic equation with involu-tion, Electron. J. Differ. Equ.2015(284), 1–8, 2015. [6]A. Ashyralyev, B. Karabaeva and A.M. Sarsenbi,Stable difference scheme for thesolution of an elliptic equation with involution.In: A. Ashyralyev and A. Lukashov,editors. International Conference on Analysis and Applied Mathematics - ICAAM2016 AIP Conference Proceedings; 7–10 September 2016; AIP Publishing, 2016, 1759:020111, 8 pages. [7]C. Babbage,An essay towards the calculus of calculus of functions, Philos. Trans. R.Soc. Lond.106, 179–256, 1816. [8]M.Sh. Burlutskayaa and A.P. Khromov,Fourier Method in an Initial-Boundary ValueProblem for a First-Order Partial Differential Equation with Involution, Comput.Math. Math. Phys.51(12), 2102–2114, 2011. [9]A. Cabada and A.F. Tojo,Equations with involutions, Atlantis Press, 2015. [10]A. Cabada and A.F. Tojo,Equations with involutions, 2014 [cited 2017, April 14th].Available from: http://users.math.cas.cz/ sremr/wde2014/prezentace/cabada.pdf [11]T. Carleman,Sur la theorie des équations intégrales et ses applications, Verhandl. desinternat. Mathem. Kongr. I., Zurich, 138–151, 1932. [12]K.M. Furati, O.S. Iyiola and M. Kirane,An inverse problem for a generalized frac-tional diffusion, Appl. Math. Comput.249, 24–31, 2014. [13]C.P. Gupta,Boundary value problems for differential equations in Hilbert spaces in-volving reflection of the argument, J. Math. Anal. Appl.128(2), 375–388, 1987. [14]C.P. Gupta,Existence and uniqueness theorems for boundary value problems involvingreflection of the argu