메뉴 건너뛰기




Volumn 25, Issue 3-5, 1996, Pages 323-337

Stability results for hyperbolic and parabolic equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030494193     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459608220704     Document Type: Article
Times cited : (3)

References (33)
  • 1
    • 0001763863 scopus 로고    scopus 로고
    • Decay, growth, continuous dependence and uniqueness results of generalized heat conduction theories
    • Morro A., Payne L.E., Straughan B., Decay, growth, continuous dependence and uniqueness results of generalized heat conduction theories, Appl. Anal. 38, 1990.
    • Appl. Anal. , vol.38 , pp. 1990
    • Morro, A.1    Payne, L.E.2    Straughan, B.3
  • 2
    • 0003334526 scopus 로고
    • Diffusion and Ecological problems: Mathematical Models
    • Springer-Verlag
    • Okubo, A., Diffusion and Ecological problems: Mathematical Models, Biomathematics vol.10, Springer-Verlag, 1980.
    • (1980) Biomathematics , vol.10
    • Okubo, A.1
  • 8
    • 0041113893 scopus 로고
    • On the stability of Couette-Poiseuille flows in the anisotropic M.H.D. via the Liapunov Direct method
    • to appear
    • Maiellaro M., Rionero S., On the stability of Couette-Poiseuille flows in the anisotropic M.H.D. via the Liapunov Direct method, Rend. Acc. Sc. Fisiche Matem. Napoli, 1995 (to appear).
    • (1995) Rend. Acc. Sc. Fisiche Matem. Napoli
    • Maiellaro, M.1    Rionero, S.2
  • 9
    • 5244307784 scopus 로고
    • Global existence and asymptotic stability in nonlinear heat conduction
    • Franchi F., Morro A., Global existence and asymptotic stability in nonlinear heat conduction, Jour. Math. Anal. Appl. 188, 1994.
    • (1994) Jour. Math. Anal. Appl. , pp. 188
    • Franchi, F.1    Morro, A.2
  • 12
    • 0014492316 scopus 로고
    • Dynamical systems and stability
    • Hale J.K., Dynamical systems and stability, J. of Math. Anal. and Appl., 26, 39, 1969.
    • (1969) J. of Math. Anal. and Appl. , vol.26 , pp. 39
    • Hale, J.K.1
  • 13
    • 0000271110 scopus 로고
    • An invariance principle for compact processes
    • Dafermos, C.M., An invariance principle for compact processes, J. Diff. Eqs. 9, 239, 1971.
    • (1971) J. Diff. Eqs. , vol.9 , pp. 239
    • Dafermos, C.M.1
  • 14
    • 0000650433 scopus 로고
    • Uniform processes and semicontinuous Liapunov functionals
    • Dafermos, C.M., Uniform processes and semicontinuous Liapunov functionals, J. Diff. Eqs. 11, 401, 1972.
    • (1972) J. Diff. Eqs. , vol.11 , pp. 401
    • Dafermos, C.M.1
  • 15
    • 0002936306 scopus 로고
    • Asymptotic behaviour of nonlinear contraction semigroups
    • Dafermos, C.M., Slemrod, M., Asymptotic behaviour of nonlinear contraction semigroups, J. Fund. Anal. 13, 97, 1973.
    • (1973) J. Fund. Anal. , vol.13 , pp. 97
    • Dafermos, C.M.1    Slemrod, M.2
  • 16
    • 84976010722 scopus 로고
    • Comportment a l'infini pour certains systems dissipatifv nonlineaires
    • Haraux, A., Comportment a l'infini pour certains systems dissipatifv nonlineaires, Proc. Royal Soc. Edinburgh 84 A, 213, 1979.
    • (1979) Proc. Royal Soc. Edinburgh , vol.84 A , pp. 213
    • Haraux, A.1
  • 17
    • 0002444599 scopus 로고
    • Une remarque sur le comportament asymptotique des semigroups nonlineaires
    • Baillon, J.B., Brezis, H., Une remarque sur le comportament asymptotique des semigroups nonlineaires, Houston J. Math. 2, 5, 1976.
    • (1976) Houston J. Math. , vol.2 , pp. 5
    • Baillon, J.B.1    Brezis, H.2
  • 18
    • 0000262385 scopus 로고
    • On the asymptotic behaviour of generalized processes with applications to nonlinear evolution equations
    • Ball, J.M., On the asymptotic behaviour of generalized processes with applications to nonlinear evolution equations, J. Diff. Eqs. 27, 224, 1978.
    • (1978) J. Diff. Eqs. , vol.27 , pp. 224
    • Ball, J.M.1
  • 19
    • 0009517787 scopus 로고
    • Weak asymptotic decay via "relaxed invariance principle" for a wave equation with nonlinear, non-monotone damping
    • Slemrod, M., Weak asymptotic decay via "relaxed invariance principle" for a wave equation with nonlinear, non-monotone damping, Proc. Royal Soc. Edinburgh, 113A, 87, 1898.
    • (1898) Proc. Royal Soc. Edinburgh , vol.113 A , pp. 87
    • Slemrod, M.1
  • 20
    • 38249042086 scopus 로고
    • Abstract stability theory and applications to Hyperbolic equations with time dependent dissipative force fields
    • Marcati, P., Abstract stability theory and applications to Hyperbolic equations with time dependent dissipative force fields, Comp. & Math. with Applis. 12A, 541, 1986.
    • (1986) Comp. & Math. with Applis. , vol.12 A , pp. 541
    • Marcati, P.1
  • 21
    • 0021386195 scopus 로고
    • Stability for second order abstract evolution equations
    • Marcati, P., Stability for second order abstract evolution equations, Nonlinear Anal. Theory, Math. Appl. 8, n. 3, 237, 1984.
    • (1984) Nonlinear Anal. Theory, Math. Appl. , vol.8 , Issue.3 , pp. 237
    • Marcati, P.1
  • 22
    • 0011412925 scopus 로고
    • Famiglie ad un parametro di funzioni di Liapunov nello studio della stabilitá
    • Academic Press
    • SalvadorI, L., Famiglie ad un parametro di funzioni di Liapunov nello studio della stabilitá, Symp. Math. 4, Academic Press, 1971.
    • (1971) Symp. Math. , vol.4
    • Salvadori, L.1
  • 23
    • 7044278974 scopus 로고
    • Uso di due indici nel problema della stabilitá
    • Salvadori, L., Uso di due indici nel problema della stabilitá, Conf. Sem. Mat. Univ. Bari 146, 1977.
    • (1977) Conf. Sem. Mat. Univ. Bari , pp. 146
    • Salvadori, L.1
  • 24
    • 0000980087 scopus 로고
    • A Poincaré-Bendixon theorem for scalar reaction - Diffusion equations
    • Fielder, B., Mallet-Paret J., A Poincaré-Bendixon theorem for scalar reaction - diffusion equations, Arch. Rat. Mech. Anal. 107, 325, 1989.
    • (1989) Arch. Rat. Mech. Anal. , vol.107 , pp. 325
    • Fielder, B.1    Mallet-Paret, J.2
  • 25
    • 0003278399 scopus 로고    scopus 로고
    • Infinite Dimensional Dynamical Systems in Mechanics and Phisics
    • Springe-Verlag
    • Temam R., Infinite Dimensional Dynamical Systems in Mechanics and Phisics (Springe-Verlag), Appl. Math. Sc. 68, 74.
    • Appl. Math. Sc. , vol.68 , pp. 74
    • Temam, R.1
  • 26
    • 0016534415 scopus 로고
    • Existence, Uniqueness and Stability of a Class of Nonlinear P.D.Es
    • Caughey T.K., Ellison J., Existence, Uniqueness and Stability of a Class of Nonlinear P.D.Es., Jour. Math. Anal. Appl., 51, 1, 1975.
    • (1975) Jour. Math. Anal. Appl. , vol.51 , pp. 1
    • Caughey, T.K.1    Ellison, J.2
  • 27
    • 0000202793 scopus 로고
    • Strongly Damped Quasi Linear Evolution Equation
    • Fitzgibbon W.E., Strongly Damped Quasi Linear Evolution Equation, Jour. Math. Anal. Appl., 79, 1981.
    • (1981) Jour. Math. Anal. Appl. , pp. 79
    • Fitzgibbon, W.E.1
  • 29
    • 84972497985 scopus 로고
    • Quasilinear wave equations and related nonlinear evolution equations
    • Yamada Y., Quasilinear wave equations and related nonlinear evolution equations, Nagoya Math. J. 84, 31, 1981.
    • (1981) Nagoya Math. J. , vol.84 , pp. 31
    • Yamada, Y.1
  • 31
    • 0011289703 scopus 로고
    • t + Nu = 0 in Hilbert space
    • t + Nu = 0 in Hilbert space, Math. Z. 126 (1972), 345-360.
    • (1972) Math. Z. , vol.126 , pp. 345-360
    • Levin, H.A.1
  • 32
    • 7044244805 scopus 로고
    • Growth and instability for wave equations with dissipation, with applications in contemporary continuum mechanics
    • Straughan B., Growth and instability for wave equations with dissipation, with applications in contemporary continuum mechanics, J. Math. Anal. Appl. 61 (1977), 303-330.
    • (1977) J. Math. Anal. Appl. , vol.61 , pp. 303-330
    • Straughan, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.