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Volumn 20, Issue 5, 2004, Pages 933-942

Non-linear semigroup of a class of abstract semilinear functional differential equations with a non-dense domain

Author keywords

Crandall Liggett approach; Hille Yosida operator; Non linear semigroup; Semilinear functional differential equation

Indexed keywords


EID: 7544242655     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-004-0341-3     Document Type: Article
Times cited : (9)

References (17)
  • 1
    • 84968492827 scopus 로고
    • Existence and stability for partial functional differential equations
    • Travis, C. C., Webb, G. F.: Existence and stability for partial functional differential equations. Trans. Amer. Math. Soc., 200, 395-418 (1974)
    • (1974) Trans. Amer. Math. Soc. , vol.200 , pp. 395-418
    • Travis, C.C.1    Webb, G.F.2
  • 2
    • 0001246648 scopus 로고    scopus 로고
    • Local existence and linearized stability for partial functional differential equations
    • Adimy, M., Ezzinbi, K.: Local existence and linearized stability for partial functional differential equations. Dynamic Systems and Applications, 7, 389-404 (1998)
    • (1998) Dynamic Systems and Applications , vol.7 , pp. 389-404
    • Adimy, M.1    Ezzinbi, K.2
  • 4
    • 84972549029 scopus 로고
    • Semiflows generated by Lipschitz perturbations of non-densely defined operators
    • Thieme, H. R.: Semiflows generated by Lipschitz perturbations of non-densely defined operators. Diff. Int. Equal., 3, 1035-1066 (1990)
    • (1990) Diff. Int. Equal. , vol.3 , pp. 1035-1066
    • Thieme, H.R.1
  • 6
    • 0000018252 scopus 로고
    • Generation of semigroups of nonlinear transformations on general Banach spaces
    • Crandall, M. G., Liggett, T. M.: Generation of semigroups of nonlinear transformations on general Banach spaces. Amer. J. Math., 93, 265-298 (1971)
    • (1971) Amer. J. Math. , vol.93 , pp. 265-298
    • Crandall, M.G.1    Liggett, T.M.2
  • 8
    • 84972535738 scopus 로고
    • Differential equations on convex sets
    • Crandall, M. G.: Differential equations on convex sets. J. Math. Soc. Japan, 22, 443, 455 (1970)
    • (1970) J. Math. Soc. Japan , vol.22 , pp. 443
    • Crandall, M.G.1
  • 9
    • 7544230189 scopus 로고
    • A theorem and a counter example in the theory of semigroups of nonlinear transformations
    • Crandall, M. G., Liggett, T. M.: A theorem and a counter example in the theory of semigroups of nonlinear transformations. Trans. Math. Amer. Soc., 160, 263-278 (1971)
    • (1971) Trans. Math. Amer. Soc. , vol.160 , pp. 263-278
    • Crandall, M.G.1    Liggett, T.M.2
  • 10
    • 0012684812 scopus 로고
    • Semigroups of nonlinear contractions and dissipative sets
    • Crandall, M. G., Pazy, A.: Semigroups of nonlinear contractions and dissipative sets. J. Func. Anal., 3, 376-418 (1969)
    • (1969) J. Func. Anal. , vol.3 , pp. 376-418
    • Crandall, M.G.1    Pazy, A.2
  • 11
    • 0003107222 scopus 로고
    • Semilinear functional differential equations in Banach space
    • Fitzgibbon, W. E.: Semilinear functional differential equations in Banach space. J. Diff. Equ., 29, 1-14 (1978)
    • (1978) J. Diff. Equ. , vol.29 , pp. 1-14
    • Fitzgibbon, W.E.1
  • 15
    • 0039048642 scopus 로고
    • Variation-of-constants formula for partial differential equations with delay
    • Kunisch, K., Schappacher, W.: Variation-of-constants formula for partial differential equations with delay. Nonlinear Anal. TMA, 5, 123-142 (1981)
    • (1981) Nonlinear Anal. TMA , vol.5 , pp. 123-142
    • Kunisch, K.1    Schappacher, W.2
  • 16
    • 0016048643 scopus 로고
    • Autonomous nonlinear functional differential equations and nonlinear semigroups
    • Webb, G. F.: Autonomous nonlinear functional differential equations and nonlinear semigroups. J. Math. Anal. Appl., 46, 1-12 (1974)
    • (1974) J. Math. Anal. Appl. , vol.46 , pp. 1-12
    • Webb, G.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.