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Volumn 19, Issue 12, 1996, Pages 943-957

On the initial-boundary-value problem for the extensible beam with attached load

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BEAMS AND GIRDERS; BOUNDARY CONDITIONS; DAMPING; LOADS (FORCES); MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; VIBRATIONS (MECHANICAL);

EID: 0030211855     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-1476(199608)19:12<943::aid-mma804>3.0.co;2-f     Document Type: Article
Times cited : (29)

References (23)
  • 1
    • 49549163375 scopus 로고
    • Initial-boundary value problems for an extensible beam
    • Ball, J. M., 'Initial-boundary value problems for an extensible beam', J. Math. Anal. Appl., 42, 61-90 (1973).
    • (1973) J. Math. Anal. Appl. , vol.42 , pp. 61-90
    • Ball, J.M.1
  • 2
    • 0001306605 scopus 로고
    • Stability theory for an extensible beam
    • Ball, J. M., 'Stability theory for an extensible beam', J. Differential Equations, 14, 399-418 (1973).
    • (1973) J. Differential Equations , vol.14 , pp. 399-418
    • Ball, J.M.1
  • 3
    • 46149135361 scopus 로고
    • Remark on the decay for damped string and wave equations
    • Biler, P., 'Remark on the decay for damped string and wave equations', Nonlinear Anal., 10, 839-842 (1986).
    • (1986) Nonlinear Anal. , vol.10 , pp. 839-842
    • Biler, P.1
  • 4
    • 0000940372 scopus 로고
    • Decay estimates for generalized damped extensible string and beam equation
    • Brito, E. H., 'Decay estimates for generalized damped extensible string and beam equation', Nonlinear Anal., 8, 1489-1496 (1984).
    • (1984) Nonlinear Anal. , vol.8 , pp. 1489-1496
    • Brito, E.H.1
  • 5
    • 38249037649 scopus 로고
    • Nonlinear initial-boundary value problems
    • Brito, E. H., 'Nonlinear initial-boundary value problems', Nonlinear Anal., 11, 125-137 (1987).
    • (1987) Nonlinear Anal. , vol.11 , pp. 125-137
    • Brito, E.H.1
  • 6
    • 0001066943 scopus 로고
    • On the optimal design of columns against buckling
    • Cox, S. J. and Overton, M. L., 'On the optimal design of columns against buckling', Siam J. Math. Anal., 23, 287-325 (1992).
    • (1992) Siam J. Math. Anal. , vol.23 , pp. 287-325
    • Cox, S.J.1    Overton, M.L.2
  • 7
    • 0014741183 scopus 로고
    • Free vibrations and dynamic buckling of extensible beam
    • Dickey, R. W., 'Free vibrations and dynamic buckling of extensible beam', J. Math. Anal. Appl., 29, 443-454 (1970).
    • (1970) J. Math. Anal. Appl. , vol.29 , pp. 443-454
    • Dickey, R.W.1
  • 8
    • 20844445355 scopus 로고
    • Nonlinear vibrations of beams and rectangular plates
    • Eisley, J. G., 'Nonlinear vibrations of beams and rectangular plates', Z. angew. Math. Phys., 15, 167-175 (1964).
    • (1964) Z. Angew. Math. Phys. , vol.15 , pp. 167-175
    • Eisley, J.G.1
  • 9
    • 0026857144 scopus 로고
    • Exponential attractors for non-autonomous systems: Long-time behaviour of vibrating beams
    • Feireisl, E., 'Exponential attractors for non-autonomous systems: Long-time behaviour of vibrating beams', Math. Meth. in the Appl. Sci., 15, 287-297 (1992).
    • (1992) Math. Meth. in the Appl. Sci. , vol.15 , pp. 287-297
    • Feireisl, E.1
  • 10
    • 38249004179 scopus 로고
    • Finite-dimensional behaviour of a nonautonomous partial differential equation: Forced oscillations of an extensible beam
    • Feireisl, E., 'Finite-dimensional behaviour of a nonautonomous partial differential equation: Forced oscillations of an extensible beam', J. Differential Equations, 101, 302-312 (1993).
    • (1993) J. Differential Equations , vol.101 , pp. 302-312
    • Feireisl, E.1
  • 11
    • 84974423202 scopus 로고
    • Fractional powers of a closed pair of operators
    • Grobbelaar-Van Dalesen, M., 'Fractional powers of a closed pair of operators', Proc. Roy. Soc. Edinburgh, 102A, 49-58 (1986).
    • (1986) Proc. Roy. Soc. Edinburgh , vol.102 A , pp. 49-58
    • Grobbelaar-Van Dalesen, M.1
  • 12
    • 0141576194 scopus 로고
    • On the solvability of the boundary-value problem for the elastic beam with attached load
    • Grobbelaar-Van Dalsen, M., 'On the solvability of the boundary-value problem for the elastic beam with attached load', Math. Models and Methods in Appl. Sci., 4, 89-105 (1994).
    • (1994) Math. Models and Methods in Appl. Sci. , vol.4 , pp. 89-105
    • Grobbelaar-Van Dalsen, M.1
  • 13
    • 0346227897 scopus 로고
    • On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions
    • Grobbelaar-Van Dalsen, M., 'On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions', Appl. Anal., 53, 41-54 (1994).
    • (1994) Appl. Anal. , vol.53 , pp. 41-54
    • Grobbelaar-Van Dalsen, M.1
  • 15
    • 0018469090 scopus 로고
    • On a new class of nonlinear wave equations
    • Medeiros, L. A., 'On a new class of nonlinear wave equations', J. Math. Appl., 69, 252-262 (1979).
    • (1979) J. Math. Appl. , vol.69 , pp. 252-262
    • Medeiros, L.A.1
  • 17
    • 38249019438 scopus 로고
    • Existence, 'Uniqueness and asymptotic behaviour for solutions and the nonlinear beam equation'
    • Pereira, D. C., Existence, 'Uniqueness and asymptotic behaviour for solutions and the nonlinear beam equation', Nonlinear Anal. Theory Methods and Appl., 14, 613-623 (1990).
    • (1990) Nonlinear Anal. Theory Methods and Appl. , vol.14 , pp. 613-623
    • Pereira, D.C.1
  • 18
    • 0344207319 scopus 로고
    • Nonlinear dynamic buckling of a compressed elastic column
    • Reiss, E. L. and Matkowsky, B. J., 'Nonlinear dynamic buckling of a compressed elastic column', Quart. Appl. Math., 29, 245-260 (1971).
    • (1971) Quart. Appl. Math. , vol.29 , pp. 245-260
    • Reiss, E.L.1    Matkowsky, B.J.2
  • 20
    • 84976189105 scopus 로고
    • Linear evolution equations in two Banach spaces
    • Sauer, N., 'Linear evolution equations in two Banach spaces', Proc. Roy. Soc. Edinburgh, 91A, 287-303 (1982).
    • (1982) Proc. Roy. Soc. Edinburgh , vol.91 A , pp. 287-303
    • Sauer, N.1
  • 21
    • 0141464559 scopus 로고
    • Eigenvalue problems with the spectral parameter also in the boundary condition
    • Sauer, N. and Van der Merwe, A., 'Eigenvalue problems with the spectral parameter also in the boundary condition', Quaestiones Math., 5, 1-27 (1982).
    • (1982) Quaestiones Math. , vol.5 , pp. 1-27
    • Sauer, N.1    Van Der Merwe, A.2
  • 22
    • 0141952185 scopus 로고
    • On boundary value problems for PDE and certain class of operator equations
    • Visik, M. I. and Ladyzhenskaya, O. A., 'On boundary value problems for PDE and certain class of operator equations', A.M.S. Transl. Serie 2, 10, (1958).
    • (1958) A.M.S. Transl. Serie , vol.2 , pp. 10
    • Visik, M.I.1    Ladyzhenskaya, O.A.2
  • 23
    • 85137266922 scopus 로고
    • The effect of axial force on the vibration of hinged bars
    • Woinowsky-Krieger, S., 'The effect of axial force on the vibration of hinged bars', J. Appl. Mech., 17, 35-36 (1950).
    • (1950) J. Appl. Mech. , vol.17 , pp. 35-36
    • Woinowsky-Krieger, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.