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Volumn 31, Issue 7, 2008, Pages 775-792

Linear functionals on nonlinear spaces and applications to problems from viscoplasticity theory

Author keywords

Monotone operators; Orlicz spaces; Viscoplasticity

Indexed keywords

BANACH SPACES; FUNCTIONAL ANALYSIS; LINEAR EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 42049098414     PISSN: 01704214     EISSN: 10991476     Source Type: Journal    
DOI: 10.1002/mma.943     Document Type: Article
Times cited : (5)

References (14)
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    • Alber, H.-D.1
  • 2
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    • Semigroups of nonlinear contractions and their asymptotic behaviour
    • Knops RJ ed, Pitman: London
    • Pazy A. Semigroups of nonlinear contractions and their asymptotic behaviour. In Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, Knops RJ (ed.), vol. III. Pitman: London, 1979.
    • (1979) Nonlinear Analysis and Mechanics: Heriot-Watt Symposium , vol.3
    • Pazy, A.1
  • 3
    • 3142666104 scopus 로고    scopus 로고
    • Quasistatic and dynamic problems in viscoplasticity theory-non-linearities with power growth
    • Pompe W. Quasistatic and dynamic problems in viscoplasticity theory-non-linearities with power growth. Mathematical Methods in the Applied Sciences 2004; 27(11): 1347-1365.
    • (2004) Mathematical Methods in the Applied Sciences , vol.27 , Issue.11 , pp. 1347-1365
    • Pompe, W.1
  • 5
    • 42049089750 scopus 로고    scopus 로고
    • Pompe W. Existence Theorems in the Viscoplasticity Theory. Shaker Verlag: Aachen, 2003 (doctorial thesis).
    • Pompe W. Existence Theorems in the Viscoplasticity Theory. Shaker Verlag: Aachen, 2003 (doctorial thesis).
  • 6
    • 42049097240 scopus 로고    scopus 로고
    • Alber H-D, Chełmiński K. Quasistatic problems in viscoplasticity theory I: Models with linear hardening. Operator Theoretical Methods and Applications to Mathematical Physics, Gohberg I et al. (eds), The Erhard Meister Memorial Birkhäuser: Basel, 2004; 105-129.
    • Alber H-D, Chełmiński K. Quasistatic problems in viscoplasticity theory I: Models with linear hardening. Operator Theoretical Methods and Applications to Mathematical Physics, Gohberg I et al. (eds), The Erhard Meister Memorial Volume. Birkhäuser: Basel, 2004; 105-129.
  • 7
    • 33847008103 scopus 로고    scopus 로고
    • Quasistatic problems in viscoplasticity theory II: Models with nonlinear hardening
    • Alber H-D, Chełmiński K. Quasistatic problems in viscoplasticity theory II: Models with nonlinear hardening. Mathematical Models and Methods in Applied Sciences 2007; 17(2): 189-213.
    • (2007) Mathematical Models and Methods in Applied Sciences , vol.17 , Issue.2 , pp. 189-213
    • Alber, H.-D.1    Chełmiński, K.2
  • 8
    • 0035336393 scopus 로고    scopus 로고
    • Coercive approximation of viscoplasticity and plasticity
    • Chełmiński K. Coercive approximation of viscoplasticity and plasticity. Asymptotic Analysis 2001; 26:105-133.
    • (2001) Asymptotic Analysis , vol.26 , pp. 105-133
    • Chełmiński, K.1
  • 9
    • 34547213819 scopus 로고    scopus 로고
    • Convergence of coercive approximations for strictly monotone quasistatic models in the inelastic deformation theory
    • Chełmiński K, Gwazda P. Convergence of coercive approximations for strictly monotone quasistatic models in the inelastic deformation theory. Mathematical Models and Methods in Applied Sciences 2007; 30(12): 1357-1374.
    • (2007) Mathematical Models and Methods in Applied Sciences , vol.30 , Issue.12 , pp. 1357-1374
    • Chełmiński, K.1    Gwazda, P.2
  • 11
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    • Princeton University Press: Princeton, NJ
    • Rockaffellar RT. Convex Analysis. Princeton University Press: Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockaffellar, R.T.1


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