메뉴 건너뛰기




Volumn , Issue , 2003, Pages 1-19

Existence results for impulsive semilinear damped differential inclusions

Author keywords

Banach space; Contraction map; Cosine operators; Fixed point; Impulsive damped differential inclusions; Measurable selections; Semi group

Indexed keywords


EID: 3042571722     PISSN: 14173875     EISSN: None     Source Type: Journal    
DOI: 10.14232/ejqtde.2003.1.11     Document Type: Article
Times cited : (13)

References (32)
  • 2
    • 0035427492 scopus 로고    scopus 로고
    • Systems governed by impulsive differential inclusions on Hilbert spaces
    • N. U. Ahmed, Systems governed by impulsive differential inclusions on Hilbert spaces, Nonlinear Anal. 45 (2001), 693-706.
    • (2001) Nonlinear Anal. , vol.45 , pp. 693-706
    • Ahmed, N.U.1
  • 7
    • 3042674817 scopus 로고    scopus 로고
    • On first order impulsive semilinear differential inclusions
    • to appear
    • M. Benchohra and S. K. Ntouyas, On first order impulsive semilinear differential inclusions, Commun. Appl. Anal. (to appear).
    • Commun. Appl. Anal.
    • Benchohra, M.1    Ntouyas, S.K.2
  • 8
    • 0000249005 scopus 로고
    • On a theorem of Ville. Contributions to the theory of games, 155-160
    • Princeton University Press, Princeton, N.J.
    • H. F. Bohnenblust and S. Karlin, On a theorem of Ville. Contributions to the theory of games, 155-160, Annals of Mathematics Studies, no. 24. Princeton University Press, Princeton, N.J., 1950.
    • (1950) Annals of Mathematics Studies , Issue.24
    • Bohnenblust, H.F.1    Karlin, S.2
  • 10
    • 51249191814 scopus 로고
    • Multivalued contraction mappings in generalized metric spaces
    • H. Covitz and S. B. Nadler Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11.
    • (1970) Israel J. Math. , vol.8 , pp. 5-11
    • Covitz, H.1    Nadler Jr., S.B.2
  • 12
    • 0001459571 scopus 로고
    • Comparison principles for impulsive parabolic equations with applications to models of singles species growth
    • L. Erbe, H. I. Freedman, X. Z. Liu and J. H. Wu, Comparison principles for impulsive parabolic equations with applications to models of singles species growth, J. Austral. Math. Soc. Ser. B 32 (1991), 382-400.
    • (1991) J. Austral. Math. Soc. Ser. B , vol.32 , pp. 382-400
    • Erbe, L.1    Freedman, H.I.2    Liu, X.Z.3    Wu, J.H.4
  • 13
    • 0025446716 scopus 로고
    • Existence results for a system of second order impulsive differential equations
    • L. Erbe and X. Liu, Existence results for a system of second order impulsive differential equations, J. Math. Anal. Appl. 149 (1990), 56-69.
    • (1990) J. Math. Anal. Appl. , vol.149 , pp. 56-69
    • Erbe, L.1    Liu, X.2
  • 16
    • 0000292859 scopus 로고
    • Pulsatile signalling in intercellular communication: Experimental and theoretical aspects. Mathematics applied to Biology and Medicine
    • Canada
    • A. Goldbeter, Y. X. Li and G. Dupont, Pulsatile signalling in intercellular communication: Experimental and theoretical aspects. Mathematics applied to Biology and Medicine, Werz. Pub. Winnipeg, Canada (1993), 429-439.
    • (1993) Werz. Pub. Winnipeg , pp. 429-439
    • Goldbeter, A.1    Li, Y.X.2    Dupont, G.3
  • 18
    • 0030871508 scopus 로고    scopus 로고
    • Comparison results for systems of impulsive parabolic equations with applications to population dynamics
    • M. Kirane and Y. V. Rogovchenko, Comparison results for systems of impulsive parabolic equations with applications to population dynamics, Nonlinear Anal. 28 (1997), 263-276.
    • (1997) Nonlinear Anal. , vol.28 , pp. 263-276
    • Kirane, M.1    Rogovchenko, Y.V.2
  • 21
    • 0000017706 scopus 로고
    • An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations
    • A. Lasota and Z. Opial, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 781-786.
    • (1965) Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. , vol.13 , pp. 781-786
    • Lasota, A.1    Opial, Z.2
  • 22
    • 0042995384 scopus 로고    scopus 로고
    • Monotone iterative techniques for time-dependent problems with applications
    • X. Liu, S. Sivaloganathan and S. Zhang, Monotone iterative techniques for time-dependent problems with applications, J. Math. Anal. Appl. 237 (1999), 1-18.
    • (1999) J. Math. Anal. Appl. , vol.237 , pp. 1-18
    • Liu, X.1    Sivaloganathan, S.2    Zhang, S.3
  • 23
    • 0032184127 scopus 로고    scopus 로고
    • A cell population model described by impulsive PDEsexistence and numerical approximation
    • X. Liu and S. Zhang, A cell population model described by impulsive PDEsexistence and numerical approximation, Comput. Math. Applic. 36 ( (1998), 1-11.
    • (1998) Comput. Math. Applic. , vol.36 , pp. 1-11
    • Liu, X.1    Zhang, S.2
  • 24
    • 0002547746 scopus 로고
    • A Rothe's type theorem for non compact acyclic-valued maps
    • Fasc.
    • M. Martelli, A Rothe's type theorem for non compact acyclic-valued maps, Boll. Un. Mat. Ital. 4 (Suppl. Fasc.) (1975), 70-76.
    • (1975) Boll. Un. Mat. Ital. , vol.4 , Issue.SUPPL. , pp. 70-76
    • Martelli, M.1
  • 25
    • 0002072777 scopus 로고
    • On a hyperbolic equation with strong damping
    • M. Matos and D. Pereira, On a hyperbolic equation with strong damping, Funkcial. Ekvac. 34 (1991), 303-311.
    • (1991) Funkcial. Ekvac. , vol.34 , pp. 303-311
    • Matos, M.1    Pereira, D.2
  • 26
    • 0001372077 scopus 로고    scopus 로고
    • On the glabal solution and asymptotic behaviour for the generalized damped extensible beam equation
    • S. K. Patcheu, On the glabal solution and asymptotic behaviour for the generalized damped extensible beam equation, J. Differential Equations 135 (1997), 299-314.
    • (1997) J. Differential Equations , vol.135 , pp. 299-314
    • Patcheu, S.K.1
  • 30
    • 34250278681 scopus 로고
    • Cosine families and abstract nonlinear second order differential equations
    • C. C. Travis and G. F. Webb, Cosine families and abstract nonlinear second order differential equations, Acta Math. Hung. 32 (1978), 75-96.
    • (1978) Acta Math. Hung. , vol.32 , pp. 75-96
    • Travis, C.C.1    Webb, G.F.2
  • 31
    • 0004021335 scopus 로고
    • Springer-Verlag, Berlin
    • th edn. Springer-Verlag, Berlin, 1980.
    • (1980) th Edn.
    • Yosida, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.