메뉴 건너뛰기




Volumn 48, Issue 6, 2003, Pages 469-486

On a reliable solution of a Volterra integral equation in a Hilbert space

Author keywords

maximization problem; Rothe's method; viscoelastic body; Volterra integral equation in a Hilbert space

Indexed keywords


EID: 84867938620     PISSN: 08627940     EISSN: 15729109     Source Type: Journal    
DOI: 10.1023/B:APOM.0000024487.48855.d9     Document Type: Article
Times cited : (9)

References (16)
  • 1
    • 0347758590 scopus 로고
    • Optimal control of a viscoelastic plate bending
    • I. Bock J. Lovíšek 1986 Optimal control of a viscoelastic plate bending Math. Nachr. 125 135 151
    • (1986) Math. Nachr. , vol.125 , pp. 135-151
    • Bock, I.1    Lovíšek, J.2
  • 2
    • 33748516700 scopus 로고
    • An optimal control problem for a pseudoparabolic variational inequality
    • I. Bock J. Lovíšek 1992 An optimal control problem for a pseudoparabolic variational inequality Appl. Math. 37 62 80
    • (1992) Appl. Math. , vol.37 , pp. 62-80
    • Bock, I.1    Lovíšek, J.2
  • 4
    • 0003204969 scopus 로고
    • The Finite Element Method for Elliptic Problems
    • North Holland Amsterdam
    • P. G. Ciarlet: The Finite Element Method for Elliptic Problems. Studies in Mathematics and Applications 4. North Holland, Amsterdam, 1978.
    • (1978) Studies in Mathematics and Applications 4
    • Ciarlet, P.G.1
  • 5
    • 0035314093 scopus 로고    scopus 로고
    • On a reliable solution of a quasilinear elliptic equation with uncertain coefficients: Sensitivity analysis and numerical examples
    • DOI 10.1016/S0362-546X(99)00274-6
    • J. Chleboun 2001 On a reliable solution of a quasilinear elliptic equation with uncertain coefficients: sensitivity analysis and numerical examples Nonlinear Anal. 44 375 388 (Pubitemid 32139006)
    • (2001) Nonlinear Analysis, Theory, Methods and Applications , vol.44 , Issue.3 , pp. 375-388
    • Chleboun, J.1
  • 6
    • 33748270320 scopus 로고    scopus 로고
    • Reliable solution of linear parabolic problems with respect to uncertain coefficients
    • I. Hlaváček 1999 Reliable solution of linear parabolic problems with respect to uncertain coefficients Z. Angew. Math. Mech. 79 291 301
    • (1999) Z. Angew. Math. Mech. , vol.79 , pp. 291-301
    • Hlaváček, I.1
  • 7
    • 0001172330 scopus 로고    scopus 로고
    • Reliable solution of problems in the deformation theory of plasticity with respect to uncertain material function
    • I. Hlaváček 1996 Reliable solution of problems in the deformation theory of plasticity with respect to uncertain material function Appl. Math. 41 447 466
    • (1996) Appl. Math. , vol.41 , pp. 447-466
    • Hlaváček, I.1
  • 8
    • 0035646616 scopus 로고    scopus 로고
    • Reliable solution of a torsion problem in Hencky plasticity with uncertain yield function
    • DOI 10.1142/S0218202501001148
    • I. Hlaváček 2001 Reliable solution of a torsion problem in Hencky plasticity with uncertain yield function Math. Models Methods Appl. Sci. 11 855 865 (Pubitemid 33686859)
    • (2001) Mathematical Models and Methods in Applied Sciences , vol.11 , Issue.5 , pp. 855-865
    • Hlavacek, I.1
  • 9
    • 0036414399 scopus 로고    scopus 로고
    • Reliable solution of a a perfect plastic problem with uncertain stress-strain law and yield function
    • I. Hlaváček 2001 Reliable solution of a a perfect plastic problem with uncertain stress-strain law and yield function SIAM J. Numer. Anal. 39 1531 1555
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 1531-1555
    • Hlaváček, I.1
  • 11
    • 0009257743 scopus 로고
    • Application of Rothe's method to integro-differential equations
    • J. Kačur 1988 Application of Rothe's method to integro-differential equations J. Reine Angew. Math. 388 73 105
    • (1988) J. Reine Angew. Math. , vol.388 , pp. 73-105
    • Kačur, J.1
  • 13
    • 17844375220 scopus 로고
    • Mathematical Theory of Elastic and Elastoplastic Bodies: An Introduction
    • Elsevier
    • J. Nečas, I. Hlaváček: Mathematical Theory of Elastic and Elastoplastic Bodies: An Introduction. Studies in Applied Mathematics 3. Elsevier, 1981.
    • (1981) Studies in Applied Mathematics , vol.3
    • Nečas, J.1    Hlaváček, I.2
  • 15
    • 0034352042 scopus 로고    scopus 로고
    • Adaptive space-time finite element solution for Volterra equations arising in viscoelastic problems
    • S. Shaw J. R. Whiteman 2000 Adaptive space-time finite element solution for Volterra equations arising in viscoelastic problems J. Comput. Appl. Math. (4) 125 1234 1257
    • (2000) J. Comput. Appl. Math. (4) , vol.125 , pp. 1234-1257
    • Shaw, S.1    Whiteman, J.R.2
  • 16
    • 0001785398 scopus 로고
    • Compact sets in the space Lp(0; T;B)
    • J. Simon 1987 Compact sets in the space Lp(0; T;B) Ann. Mat. Pura Appl., IV. Ser. 146 65 96
    • (1987) Ann. Mat. Pura Appl., IV. Ser. , vol.146 , pp. 65-96
    • Simon, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.