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Volumn 197, Issue 3, 1996, Pages 796-809

Anti-periodic solution for utt - (σ(ux))x - Uxxt = f(x,t)

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EID: 0030080064     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0054     Document Type: Article
Times cited : (15)

References (20)
  • 1
    • 0000113335 scopus 로고
    • Anti-periodic solutions to a class of nonlinear differential equations in Hilbert space
    • 1. S. Aizicovici and N. H. Pavel, Anti-periodic solutions to a class of nonlinear differential equations in Hilbert space, J. Funct. Anal. 99 (1991), 387-408.
    • (1991) J. Funct. Anal. , vol.99 , pp. 387-408
    • Aizicovici, S.1    Pavel, N.H.2
  • 3
    • 0000549603 scopus 로고
    • On some nonlinear evolution equations with the strong dissipation, I, II
    • 3. Y. Ebihara, On some nonlinear evolution equations with the strong dissipation, I, II, J. Differential Equations 30 (1978), 149-164; 34 (1979), 339-352.
    • (1978) J. Differential Equations , vol.30 , pp. 149-164
    • Ebihara, Y.1
  • 4
    • 0011559686 scopus 로고
    • 3. Y. Ebihara, On some nonlinear evolution equations with the strong dissipation, I, II, J. Differential Equations 30 (1978), 149-164; 34 (1979), 339-352.
    • (1979) J. Differential Equations , vol.34 , pp. 339-352
  • 6
    • 0000140423 scopus 로고
    • Anti-periodic solutions of some nonlinear evolution equations
    • 5. A. Haraux, Anti-periodic solutions of some nonlinear evolution equations, Manuscripta Math. 63 (1989), 479-505.
    • (1989) Manuscripta Math. , vol.63 , pp. 479-505
    • Haraux, A.1
  • 7
    • 0000100845 scopus 로고
    • Global existence and exponential stability of small solutions to nonlinear viscoelasticity
    • 6. S. Kawashima and Y. Shibata, Global existence and exponential stability of small solutions to nonlinear viscoelasticity, Comm. Math. Phys. 148 (1992), 189-208.
    • (1992) Comm. Math. Phys. , vol.148 , pp. 189-208
    • Kawashima, S.1    Shibata, Y.2
  • 8
    • 0001677079 scopus 로고
    • On a global in time existence theorem of smooth solutions to nonlinear wave equation with viscosity
    • 7. T. Kobayashi, H. Pecher, and Y. Shibata, On a global in time existence theorem of smooth solutions to nonlinear wave equation with viscosity, Math. Ann. 296 (1993), 215-234.
    • (1993) Math. Ann. , vol.296 , pp. 215-234
    • Kobayashi, T.1    Pecher, H.2    Shibata, Y.3
  • 9
    • 0000240017 scopus 로고
    • Decay of solutions of some nonlinear evolution equations
    • 8. M. Nakao, Decay of solutions of some nonlinear evolution equations, J. Math. Anal. Appl. 60 (1977), 542-549.
    • (1977) J. Math. Anal. Appl. , vol.60 , pp. 542-549
    • Nakao, M.1
  • 10
    • 51249169119 scopus 로고
    • Energy decay for the quasilinear wave equation with viscosity
    • 9. M. Nakao, Energy decay for the quasilinear wave equation with viscosity, Math. Z., 219 (1995), 289-299.
    • (1995) Math. Z. , vol.219 , pp. 289-299
    • Nakao, M.1
  • 12
    • 84972574907 scopus 로고
    • On the existence of periodic solutions to nonlinear abstract parabolic equations
    • 11. H. Okochi, On the existence of periodic solutions to nonlinear abstract parabolic equations. J. Math. Soc. Japan 40 (1988), 541-553.
    • (1988) J. Math. Soc. Japan , vol.40 , pp. 541-553
    • Okochi, H.1
  • 13
    • 38249017538 scopus 로고
    • On the existence of anti-periodic solutions to nonlinear evolution equation associated with odd subdifferential operator
    • 12. H. Okochi, On the existence of anti-periodic solutions to nonlinear evolution equation associated with odd subdifferential operator, J. Funct. Anal. 91 (1990), 246-258.
    • (1990) J. Funct. Anal. , vol.91 , pp. 246-258
    • Okochi, H.1
  • 14
    • 38249020308 scopus 로고
    • On the existence of anti-periodic solutions to nonlinear parabolic equations in non-cylindrical domains
    • 13. H. Okochi, On the existence of anti-periodic solutions to nonlinear parabolic equations in non-cylindrical domains, Nonlinear Anal. 14 (1990), 771-783.
    • (1990) Nonlinear Anal. , vol.14 , pp. 771-783
    • Okochi, H.1
  • 15
    • 84957805498 scopus 로고
    • An invitation to the anti-periodic problem
    • "Miniconference on Operators in Analysis, Sydney, 1989," Australian National Univ., Canberra
    • 14. H. Okochi, An invitation to the anti-periodic problem, in "Miniconference on Operators in Analysis, Sydney, 1989," pp. 179-196, Proc. Centre Math. Anal., Vol. 24, Australian National Univ., Canberra, 1989.
    • (1989) Proc. Centre Math. Anal. , vol.24 , pp. 179-196
    • Okochi, H.1
  • 16
    • 0002137202 scopus 로고
    • Soluzioni periodiche dell' equazione delle onde con termine dissipativo non lineare
    • 15. G. Prodi, Soluzioni periodiche dell' equazione delle onde con termine dissipativo non lineare, Rend. Sem. Mat. Univ. Padova 36 (1966), 37-49.
    • (1966) Rend. Sem. Mat. Univ. Padova , vol.36 , pp. 37-49
    • Prodi, G.1
  • 19
    • 0000999961 scopus 로고
    • Existence and asymptotic behavior for a strongly damped nonlinear wave equation
    • 18. G. F. Webb, Existence and asymptotic behavior for a strongly damped nonlinear wave equation, Canad. J. Math. 32 (1980), 631-643.
    • (1980) Canad. J. Math. , vol.32 , pp. 631-643
    • Webb, G.F.1


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