메뉴 건너뛰기




Volumn 26, Issue 4, 1996, Pages 799-811

Local existence theorems for nonlinear differential equations and compactness of integral solutions in Lp(0, T; X)

Author keywords

m Accretive operators; Nonlinear differential equations; Nonlinear semigroups of contractions

Indexed keywords


EID: 0001435627     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00320-H     Document Type: Article
Times cited : (5)

References (19)
  • 1
    • 51249186765 scopus 로고
    • An abstract functional differential equation and a related Volterra equation
    • CRANDALL M. G. & NOHEL J., An abstract functional differential equation and a related Volterra equation, Israel J. Math. 29, 313-323 (1978).
    • (1978) Israel J. Math. , vol.29 , pp. 313-323
    • Crandall, M.G.1    Nohel, J.2
  • 2
    • 0037494564 scopus 로고
    • Propriétés de compacité de l'opérateur de Green généralisé pour l'équation des milieux poreux
    • DIAZ J. I. & VRABIE I. I., Propriétés de compacité de l'opérateur de Green généralisé pour l'équation des milieux poreux, C. r. hebd. Séanc. Acad. Sci. Paris 309, 221-223 (1989).
    • (1989) C. r. hebd. Séanc. Acad. Sci. Paris , vol.309 , pp. 221-223
    • Diaz, J.I.1    Vrabie, I.I.2
  • 3
    • 0011131624 scopus 로고
    • Compact perturbations of m-accretive operators in general Banach spaces
    • GUTMAN S., Compact perturbations of m-accretive operators in general Banach spaces, SIAM J. math. Analysis 13, 789-800 (1982).
    • (1982) SIAM J. Math. Analysis , vol.13 , pp. 789-800
    • Gutman, S.1
  • 4
    • 0040117719 scopus 로고
    • Evolutions governed by m-accretive plus compact operators
    • GUTMAN S., Evolutions governed by m-accretive plus compact operators, Nonlinear Analysis 7, 707-715 (1983).
    • (1983) Nonlinear Analysis , vol.7 , pp. 707-715
    • Gutman, S.1
  • 5
    • 0011079981 scopus 로고
    • Local existence theorems for nonlinear differential equations
    • HIRANO N., Local existence theorems for nonlinear differential equations, SIAM J. math. Analysis 14, 117-125 (1983).
    • (1983) SIAM J. Math. Analysis , vol.14 , pp. 117-125
    • Hirano, N.1
  • 6
    • 0042593479 scopus 로고
    • Nonlinear functional variational inequalities governed by time-dependent subdifferentials
    • KENMOCHI N. & KOYAMA T., Nonlinear functional variational inequalities governed by time-dependent subdifferentials, Nonlinear Analysis 17, 863-883 (1991).
    • (1991) Nonlinear Analysis , vol.17 , pp. 863-883
    • Kenmochi, N.1    Koyama, T.2
  • 7
    • 0043094415 scopus 로고
    • The existence of the solutions for a class of semilinear evolution equations
    • LIU S. M., The existence of the solutions for a class of semilinear evolution equations, Chinese Annls Math. 13, 507-512 (1992).
    • (1992) Chinese Annls Math. , vol.13 , pp. 507-512
    • Liu, S.M.1
  • 8
    • 0043094418 scopus 로고
    • A class of strongly nonlinear functional differential equations
    • MITIDIERI E. & VRABIE I. I., A class of strongly nonlinear functional differential equations, Annali Mat. pura appl. 151, 125-147 (1988).
    • (1988) Annali Mat. Pura Appl. , vol.151 , pp. 125-147
    • Mitidieri, E.1    Vrabie, I.I.2
  • 9
    • 84972544357 scopus 로고
    • Differential inclusions governed by nonconvex perturbations of m-accretive operators
    • MITIDIERI E. & VRABIE I. I., Differential inclusions governed by nonconvex perturbations of m-accretive operators, Diff. Integral Eqns 2, 525-531 (1989).
    • (1989) Diff. Integral Eqns , vol.2 , pp. 525-531
    • Mitidieri, E.1    Vrabie, I.I.2
  • 10
    • 51249191443 scopus 로고
    • A class of semi-linear evolution equations of evolution
    • PAZY A., A class of semi-linear evolution equations of evolution, Israel J. Math. 20, 23-36 (1975).
    • (1975) Israel J. Math. , vol.20 , pp. 23-36
    • Pazy, A.1
  • 11
    • 51249180537 scopus 로고
    • The nonlinear version of Pazy's local existence theorem
    • VRABIE I. I., The nonlinear version of Pazy's local existence theorem, Israel J. Math. 32, 221-235 (1979).
    • (1979) Israel J. Math. , vol.32 , pp. 221-235
    • Vrabie, I.I.1
  • 12
    • 0041591590 scopus 로고
    • Compactness methods for an abstract Volterra integrodifferential equation
    • VRABIE I. I., Compactness methods for an abstract Volterra integrodifferential equation, Nonlinear Analysis 5, 355-371 (1981).
    • (1981) Nonlinear Analysis , vol.5 , pp. 355-371
    • Vrabie, I.I.1
  • 13
    • 0001553147 scopus 로고
    • An existence result for a class of nonlinear evolution equations in Banach spaces
    • VRABIE I. I., An existence result for a class of nonlinear evolution equations in Banach spaces, Nonlinear Analysis 6, 711-722 (1982).
    • (1982) Nonlinear Analysis , vol.6 , pp. 711-722
    • Vrabie, I.I.1
  • 14
    • 0001608595 scopus 로고
    • Compacité de l'opérateur f → u solution d'une équation non linéaire (du/dt) + Au ∋ f
    • BARAS P., Compacité de l'opérateur f → u solution d'une équation non linéaire (du/dt) + Au ∋ f, C. r. hebd. Séanc. Acad. Sci. Paris 286, 1113-1116 (1978).
    • (1978) C. r. hebd. Séanc. Acad. Sci. Paris , vol.286 , pp. 1113-1116
    • Baras, P.1
  • 16
    • 0002028536 scopus 로고
    • Solutions integrales d'équations d'évolution dan un espace de Banach
    • BENILAN P., Solutions integrales d'équations d'évolution dan un espace de Banach, C. r. hebd. Séanc. Acad. Sci. Paris 274, 47-50 (1972).
    • (1972) C. r. hebd. Séanc. Acad. Sci. Paris , vol.274 , pp. 47-50
    • Benilan, P.1
  • 18
    • 0000018252 scopus 로고
    • Generations of semigroups of nonlinear transformations in general Banach spaces
    • CRANDALL M. G. & LIGGETT T. M., Generations of semigroups of nonlinear transformations in general Banach spaces, Am. J. Math. 93, 265-298 (1971).
    • (1971) Am. J. Math. , vol.93 , pp. 265-298
    • Crandall M, G.1    Liggett, T.M.2
  • 19
    • 0039526095 scopus 로고
    • New results concerning monotone operators and non linear semigroups
    • Kyoto University, Kyoto
    • BRÉZIS H., New results concerning monotone operators and non linear semigroups, in Lecture Notes of the Research Institute for Mathematical Sciences, Vol. 258, pp. 2-27. Kyoto University, Kyoto (1975).
    • (1975) Lecture Notes of the Research Institute for Mathematical Sciences , vol.258 , pp. 2-27
    • Brézis, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.