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Volumn 160, Issue 1, 2000, Pages 263-282

A decomposition theorem for bounded solutions and the existence of periodic solutions of periodic differential equations

Author keywords

Abstract functional differential equation; Compact monodromy operator; Decomposition theorem; Fourier coefficients; Periodic evolution equation; Periodic solution; Spectrum of bounded function

Indexed keywords


EID: 0033637878     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1999.3673     Document Type: Article
Times cited : (30)

References (27)
  • 1
    • 0003323719 scopus 로고
    • Ordinary Differential Equations
    • Berlin: de Gruyter
    • Amann H. Ordinary Differential Equations. de Gruyter Studies in Mathematics. 13:1990;de Gruyter, Berlin.
    • (1990) De Gruyter Studies in Mathematics , vol.13
    • Amann, H.1
  • 4
    • 0002433520 scopus 로고
    • Strongly limit-compact maps
    • Chow S. N., Hale J. K. Strongly limit-compact maps. Funkc. Ekvac. 17:1974;31-38.
    • (1974) Funkc. Ekvac. , vol.17 , pp. 31-38
    • Chow, S.N.1    Hale, J.K.2
  • 5
    • 0003227862 scopus 로고
    • Abstract Evolution Equations, Periodic Problems and Applications
    • New York: Longman
    • Daners D., Medina P. K. Abstract Evolution Equations, Periodic Problems and Applications. Pitman Research Notes in Mathematics. 279:1992;Longman, New York.
    • (1992) Pitman Research Notes in Mathematics , vol.279
    • Daners, D.1    Medina, P.K.2
  • 6
    • 0003339411 scopus 로고
    • Periodic Motions
    • New York: Springer-Verlag
    • Farkas M. Periodic Motions. Applied Mathematical Sciences. 104:1994;Springer-Verlag, New York.
    • (1994) Applied Mathematical Sciences , vol.104
    • Farkas, M.1
  • 9
    • 0002087589 scopus 로고
    • On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations
    • Hatvani L., Kristin T. On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations. J. Differential Equation. 97:1992;1-15.
    • (1992) J. Differential Equation , vol.97 , pp. 1-15
    • Hatvani, L.1    Kristin, T.2
  • 10
    • 0003460899 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Berlin/New York: Springer-Verlag
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics. 1981;Springer-Verlag, Berlin/New York.
    • (1981) Lecture Notes in Mathematics
    • Henry, D.1
  • 11
    • 0003287113 scopus 로고
    • Functional Differential Equations with Infinite Delay
    • Berlin/New York: Springer-Verlag
    • Hino Y., Murakami S., Naito T. Functional Differential Equations with Infinite Delay. Lecture Notes in Mathematics. 1473:1991;Springer-Verlag, Berlin/New York.
    • (1991) Lecture Notes in Mathematics , vol.1473
    • Hino, Y.1    Murakami, S.2    Naito, T.3
  • 12
    • 0031523951 scopus 로고    scopus 로고
    • Existence of almost periodic solutions of some functional differential equations with infinite delay in a Banach space
    • Hino Y., Murakami S., Yoshizawa T. Existence of almost periodic solutions of some functional differential equations with infinite delay in a Banach space. Tohoku Math. J. 49:1997;133-147.
    • (1997) Tohoku Math. J. , vol.49 , pp. 133-147
    • Hino, Y.1    Murakami, S.2    Yoshizawa, T.3
  • 13
    • 0001757843 scopus 로고
    • Periodic and almost periodic solutions of Volterra integral differential equations with infinite memory
    • Langenhop C. Periodic and almost periodic solutions of Volterra integral differential equations with infinite memory. J. Differential Equation. 58:1985;391-403.
    • (1985) J. Differential Equation , vol.58 , pp. 391-403
    • Langenhop, C.1
  • 16
    • 0001489955 scopus 로고    scopus 로고
    • A Massera type criterion for linear functional differential equations with advanced and delay
    • Li Y., Lin Z., Li Z. A Massera type criterion for linear functional differential equations with advanced and delay. J. Math. Anal. Appl. 200:1996;715-725.
    • (1996) J. Math. Anal. Appl. , vol.200 , pp. 715-725
    • Li, Y.1    Lin, Z.2    Li, Z.3
  • 18
    • 0001719219 scopus 로고
    • Linear periodic functional differential equations with infinite delay
    • Murakami S. Linear periodic functional differential equations with infinite delay. Funkc. Ekvac. 29:1986;335-361.
    • (1986) Funkc. Ekvac. , vol.29 , pp. 335-361
    • Murakami, S.1
  • 20
    • 0033095590 scopus 로고    scopus 로고
    • Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations
    • Naito T., Van Minh Nguyen. Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations. J. Differential Equations. 152:1999;358-376.
    • (1999) J. Differential Equations , vol.152 , pp. 358-376
    • Naito, T.1    Van Minh Nguyen2
  • 21
    • 0003316678 scopus 로고
    • Semigroups of Linear Operators and Applications to Partial Differential Equations
    • Berlin/New York: Springer-Verlag
    • Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences. 44:1983;Springer-Verlag, Berlin/New York.
    • (1983) Applied Mathematical Sciences , vol.44
    • Pazy, A.1
  • 23
    • 0033541221 scopus 로고    scopus 로고
    • Semi-Fredholm operators and periodic solutions for linear functional differential equations
    • Shin J. S., Naito T. Semi-Fredholm operators and periodic solutions for linear functional differential equations. J. Differential Equations. 153:1999;407-441.
    • (1999) J. Differential Equations , vol.153 , pp. 407-441
    • Shin, J.S.1    Naito, T.2
  • 24
    • 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. 200:1974;395-418.
    • (1974) Trans. Amer. Math. Soc. , vol.200 , pp. 395-418
    • Travis, C.C.1    Webb, G.F.2
  • 25
    • 0003345730 scopus 로고    scopus 로고
    • Theory and Applications of Partial Functional Differential Equations
    • Berlin/New York: Springer-Verlag
    • Wu J. Theory and Applications of Partial Functional Differential Equations. Applied Mathematical Sciences. 119:1996;Springer-Verlag, Berlin/New York.
    • (1996) Applied Mathematical Sciences , vol.119
    • Wu, J.1
  • 26
    • 0001617413 scopus 로고
    • Almost periodic solutions of one dimensional wave equations with periodic coefficients
    • Yamaguchi M. Almost periodic solutions of one dimensional wave equations with periodic coefficients. J. Math. Kyoto Univ. 29-3:1989;463-487.
    • (1989) J. Math. Kyoto Univ. , vol.293 , pp. 463-487
    • Yamaguchi, M.1
  • 27
    • 0003248782 scopus 로고
    • Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions
    • New York: Springer-Verlag
    • Yoshizawa T. Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions. Applied Mathematical Sciences. 14:1975;Springer-Verlag, New York.
    • (1975) Applied Mathematical Sciences , vol.14
    • Yoshizawa, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.