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Volumn 2001, Issue , 2001, Pages

Existence results for a class of semi-linear evolution equations

Author keywords

Banach spaces; Fractional powers of closed operators, regular solutions; Semigroup of linear operators, abstract differential equations

Indexed keywords


EID: 52549118426     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (14)
  • 1
    • 0002116313 scopus 로고
    • A semilinear Sobolev evolution equation in a Banach space
    • Brill, Heinz., A semilinear Sobolev evolution equation in a Banach space. J. Differential Equations 24 (1977), no. 3, 412-425.
    • (1977) J. Differential Equations , vol.24 , Issue.3 , pp. 412-425
    • Brill, H.1
  • 2
    • 0003204167 scopus 로고
    • Semigroups of linear operators and applications
    • The Clarendon Press, Oxford University Press, New York
    • Goldstein, Jerome A., Semigroups of linear operators and applications. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, 1985.
    • (1985) Oxford Mathematical Monographs.
    • Goldstein Jerome, A.1
  • 3
    • 0002513583 scopus 로고
    • Phase space for retarded equations with infinite delay
    • Hale, Jack K.; Kato, Junji., Phase space for retarded equations with infinite delay. Funkcial. Ekvac. 21 (1978), no. 1, 11-41.
    • (1978) Funkcial. Ekvac. , vol.21 , Issue.1 , pp. 11-41
    • Hale1    Jack, K.2    Kato, J.3
  • 4
    • 0000308614 scopus 로고    scopus 로고
    • Existence of periodic solutions of partial neutral functional-differential equations with unbounded delay
    • Hernândez, Eduardo; Henrîquez, Hernân R., Existence of periodic solutions of partial neutral functional-differential equations with unbounded delay. J. Math. Anal. Appl. 221 (1998), no. 2, 499-522.
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 499-522
    • Hernândez, E.1    Henrîquez Hernân, R.2
  • 5
    • 0000308613 scopus 로고    scopus 로고
    • Existence results for partial neutral functional-differential equations with unbounded delay
    • Hernândez, Eduardo; Henrîquez, Hernân R., Existence results for partial neutral functional-differential equations with unbounded delay. J. Math. Anal. Appl. 221 (1998), no. 2, 452-475.
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 452-475
    • Hernândez, E.1
  • 7
    • 0003287113 scopus 로고
    • Functional-differential equations with infinite delay
    • SpringerVerlag, Berlin
    • Hino, Yoshiyuki; Murakami, Satoru; Naito, Toshiki., Functional-differential equations with infinite delay. Lecture Notes in Mathematics, 1473. SpringerVerlag, Berlin, 1991.
    • (1991) Lecture Notes in Mathematics , vol.1473
    • Hino, Y.1    Murakami, S.2    Naito, T.3
  • 8
    • 0013378467 scopus 로고
    • Linear differential equations in Banach space. Translated from the Russian by J. M. Danskin
    • American Mathematical Society, Providence, R.I.
    • Krein, S. G., Linear differential equations in Banach space. Translated from the Russian by J. M. Danskin. Translations of Mathematical Monographs, Vol. 29. American Mathematical Society, Providence, R.I., 1971.
    • (1971) Translations of Mathematical Monographs , vol.29
    • Krein, S.G.1
  • 9
    • 0039987120 scopus 로고
    • General boundary value problems for differential equations of Sobolev type
    • Lagnese, John E., General boundary value problems for differential equations of Sobolev type. SIAM J. Math. Anal. 3 (1972), 105-119.
    • (1972) SIAM J. Math. Anal. , vol.3 , pp. 105-119
    • Lagnese John, E.1
  • 10
    • 0020750901 scopus 로고
    • A partial functionaldifferential equation of Sobolev type
    • Lightbourne, James H., Ill; Rankin, Samuel M., III., A partial functionaldifferential equation of Sobolev type. J. Math. Anal. Appl. 93 (1983), no. 2, 328-337.
    • (1983) J. Math. Anal. Appl. , vol.93 , Issue.2 , pp. 328-337
    • James, H.1
  • 12
    • 0003316678 scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • Springer-Verlag, New York-Berlin
    • Pazy, A., Semigroups of linear operators and applications to partial differential equations. Applied Mathematical Sciences, 44. Springer-Verlag, New York-Berlin, 1983.
    • (1983) Applied Mathematical Sciences , vol.44
    • Pazy, A.1
  • 14
    • 0042776374 scopus 로고
    • Showalter, R. E., Degenerate parabolic initial-boundary value problems. J. Differential Equations 31 (1979), no. 3, 296-312.
    • (1979) Differential Equations , vol.31 , Issue.3 , pp. 296-312
    • Showalter, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.