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Volumn 5, Issue 5, 1997, Pages 427-436

Locally controllable regularization of Abel integral equations via operator complementation

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EID: 0037907126     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1997.5.5.427     Document Type: Article
Times cited : (3)

References (12)
  • 1
    • 84952397932 scopus 로고
    • On stabilizing the inversion of Abel integral operators.
    • (Ed. K. Nishiraoto). College of Engineering, Nihon University, Tokyo
    • R. Gorenflo, On stabilizing the inversion of Abel integral operators. In: Fractional Calculus and Its Applications. Proc. Int. Conf., Tokyo/Japan, 1989 (Ed. K. Nishiraoto). College of Engineering, Nihon University, Tokyo, 1990, 44–51.
    • (1990) In: Fractional Calculus and Its Applications. Proc. Int. Conf., Tokyo/Japan, 1989 , pp. 44-51
    • Gorenflo, R.1
  • 2
    • 26444597582 scopus 로고
    • Locally controllable regularization of fractional derivatives.
    • R. Gorenflo and B. Rubin, Locally controllable regularization of fractional derivatives. Inverse Problems (1994) 10, No. 4, 881–893.
    • (1994) Inverse Problems , vol.10 , Issue.4 , pp. 881-893
    • Gorenflo, R.1    Rubin, B.2
  • 4
    • 85026096318 scopus 로고
    • On regularized inversion of Abel integral operators.
    • Univ. of Tokyo, Dept, of Math. Sci.
    • R. Gorenflo and M. Yamampto, On regularized inversion of Abel integral operators. Preprint No. UTMS 95-39/95, Univ. of Tokyo, Dept, of Math. Sci., 1995.
    • (1995) Preprint No. UTMS 95-39/95
    • Gorenflo, R.1    Yamampto, M.2
  • 6
    • 84972528319 scopus 로고
    • On nonsmooth solutions of Abel's integral equation.
    • D. D. Hai and D. D. Áng, On nonsmooth solutions of Abel's integral equation. Differential and Integral Equations (1990) 3, No. 2, 397–400.
    • (1990) Differential and Integral Equations , vol.3 , Issue.2 , pp. 397-400
    • Hai, D.D.1    Áng, D.D.2
  • 7
    • 33748065875 scopus 로고
    • Produktquadraturverfahren für nicht-glatte Lösungen Abelscher Integralgleichungen erster und zweiter Art.
    • Free University of Berlin, Department of Mathematics and Computer Science
    • CH. Kutsche, Produktquadraturverfahren für nicht-glatte Lösungen Abelscher Integralgleichungen erster und zweiter Art. Ph.D. Dissertation. Free University of Berlin, Department of Mathematics and Computer Science, 1994.
    • (1994) Ph.D. Dissertation.
    • Kutsche, C.1
  • 8
    • 85026110996 scopus 로고
    • Stable algorithms for approximate solution of Abel integral equations.
    • The Edmund Landau Center for Research in Mathematical Analysis, The Hebrew University of Jerusalem
    • T. Medvedeva and B. Rubin, Stable algorithms for approximate solution of Abel integral equations. Preprint No. 13 (1993/94), The Edmund Landau Center for Research in Mathematical Analysis, The Hebrew University of Jerusalem, 1994.
    • (1994) Preprint No. 13 (1993/94)
    • Medvedeva, T.1    Rubin, B.2
  • 9
    • 84985407133 scopus 로고
    • Hypersingular integrals of Marchaud type and the inversion problem for potentials.
    • B. Rubin, Hypersingular integrals of Marchaud type and the inversion problem for potentials. Mathematische Nachrichten (1994) 165, 245–321.
    • (1994) Mathematische Nachrichten , vol.165 , pp. 245-321
    • Rubin, B.1
  • 11
    • 0003664883 scopus 로고
    • Scripta Series in Mathematics. V. H. Winston & Sons, Washington, D.C.; John Wiley & Sons, New York-Toronto-London
    • A.N. Tikhonov and V. YA. Arsenin, Solutions of III-Posed Problems. Scripta Series in Mathematics. V. H. Winston & Sons, Washington, D.C.; John Wiley & Sons, New York-Toronto-London, 1977.
    • (1977) Solutions of III-Posed Problems.
    • Tikhonov, A.N.1    Arsenin, V.Y.2
  • 12
    • 0347906991 scopus 로고
    • On the regularization of fractional differentiation of arbitrary positive order.
    • Vũ Kim Tuân and R. Gorenflo, On the regularization of fractional differentiation of arbitrary positive order. Numer. Funct. Anal. Optim. (1994) 15, No. 5-6, 695–711.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , Issue.5-6 , pp. 695-711
    • Vũ, K.T.1    Gorenflo, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.