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Volumn 18, Issue 6, 2011, Pages 747-766

Existence of global solutions for second order impulsive abstract functional integrodifferential equations

Author keywords

Cosine function of operators; Global solutions; Impulsive systems; Integrodifferential equations; Second order abstract Cauchy problem

Indexed keywords


EID: 84855391080     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (18)
  • 1
    • 84871302674 scopus 로고    scopus 로고
    • Existence of almost periodic solutions for a class of abstract impulsive differential equations
    • H.R. Henríquez B. de Andrade and M. Rabelo, Existence of almost periodic solutions for a class of abstract impulsive differential equations. ISRN Math. Anal. 2011 (2011), 1-21.
    • (2011) ISRN Math. Anal. , vol.2011 , pp. 1-21
    • Henríquez, H.R.1    De Andrade, B.2    Rabelo, M.3
  • 2
    • 0038624647 scopus 로고
    • On cosine operator functions and one parameter group of operators
    • J. Kisyński, On cosine operator functions and one parameter group of operators, Studia. Math. 49 (1972), 93-105.
    • (1972) Studia. Math. , vol.49 , pp. 93-105
    • Kisyński, J.1
  • 4
    • 33747805542 scopus 로고    scopus 로고
    • Global existence results for impulsive functional differential equations
    • Z. Luo and J. Shen, Global existence results for impulsive functional differential equations, J. Math. Anal. Appl. 323(1) (2003), 644-653.
    • (2003) J. Math. Anal. Appl. , vol.323 , Issue.1 , pp. 644-653
    • Luo, Z.1    Shen, J.2
  • 7
    • 1542266892 scopus 로고    scopus 로고
    • Existence of a global solution for an impulsive semilinear parabolic equation and its asymptotic behaviour
    • K. Nakagawa, Existence of a global solution for an impulsive semilinear parabolic equation and its asymptotic behaviour, Commun. Appl. Anal. 4(3) (2000), 403-409.
    • (2000) Commun. Appl. Anal. , vol.4 , Issue.3 , pp. 403-409
    • Nakagawa, K.1
  • 8
    • 33747807905 scopus 로고    scopus 로고
    • Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay
    • DOI 10.1016/j.jmaa.2005.10.015, PII S0022247X05010516
    • A. Ouahab, Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay, J. Math. Anal. Appl. 323 (2006), 456-472. (Pubitemid 44276147)
    • (2006) Journal of Mathematical Analysis and Applications , vol.323 , Issue.1 , pp. 456-472
    • Ouahab, A.1
  • 9
    • 0002543908 scopus 로고    scopus 로고
    • Impulsive evolution systems: Main results and new trends
    • Y.V. Rogovchenko, Impulsive evolution systems: Main results and new trends, Dynam. Contin. Discrete Impuls. Syst. 3(1) (1997), 57-88.
    • (1997) Dynam. Contin. Discrete Impuls. Syst. , vol.3 , Issue.1 , pp. 57-88
    • Rogovchenko, Y.V.1
  • 10
    • 0031084539 scopus 로고    scopus 로고
    • Nonlinear impulse evolution systems and applications to population models
    • DOI 10.1006/jmaa.1997.5245, PII S0022247X97952458
    • Y.V. Rogovchenko, Nonlinear impulse evolution systems and application to population models, J. Math. Anal. Appl. 207(2) (1997), 300-315. (Pubitemid 127174797)
    • (1997) Journal of Mathematical Analysis and Applications , vol.207 , Issue.2 , pp. 300-315
    • Rogovchenko, Y.V.1
  • 12
    • 29144535397 scopus 로고    scopus 로고
    • Global existence results for impulsive differential equations
    • DOI 10.1016/j.jmaa.2005.04.009, PII S0022247X05003185
    • J. Shen and X. Liu, Global existence results for impulsive differential equations, J. Math. Anal. Appl. 314(2) (2006), 546-557. (Pubitemid 41799960)
    • (2006) Journal of Mathematical Analysis and Applications , vol.314 , Issue.2 , pp. 546-557
    • Shen, J.1    Liu, X.2
  • 13
    • 80051579695 scopus 로고    scopus 로고
    • Existence of global solutions for second order impulsive abstract partial differential equations
    • S. Sivasankaran, M. Mallika Arjunan and V. Vijayakumar, Existence of global solutions for second order impulsive abstract partial differential equations, Nonlinear Anal. TMA, 74(17) (2011), 6747-6757.
    • (2011) Nonlinear Anal. TMA , vol.74 , Issue.17 , pp. 6747-6757
    • Sivasankaran, S.1    Mallika Arjunan, M.2    Vijayakumar, V.3
  • 14
    • 80051596667 scopus 로고    scopus 로고
    • Existence of global solutions for impulsive functional differential equations with nonlocal conditions
    • S. Sivasankaran, M. Mallika Arjunan and V. Vijayakumar, Existence of global solutions for impulsive functional differential equations with nonlocal conditions, J. Nonlinear Sci. Appl. 4(2) (2011), 102-114.
    • (2011) J. Nonlinear Sci. Appl. , vol.4 , Issue.2 , pp. 102-114
    • Sivasankaran, S.1    Mallika Arjunan, M.2    Vijayakumar, V.3
  • 15
    • 84855365019 scopus 로고    scopus 로고
    • Existence of global solutions for impulsive abstract partial neutral functional differential equations
    • S. Sivasankaran, V. Vijayakumar and M. Mallika Arjunan, Existence of global solutions for impulsive abstract partial neutral functional differential equations, Int. J. Nonlinear Sci. 11(4) (2011), 412-426.
    • (2011) Int. J. Nonlinear Sci. , vol.11 , Issue.4 , pp. 412-426
    • Sivasankaran, S.1    Vijayakumar, V.2    Mallika Arjunan, M.3
  • 16
    • 0000448195 scopus 로고
    • Compactness, regularity, and uniform continuity properties of strongly continuous cosine families
    • C.C. Travis and G.F. Webb, Compactness, regularity, and uniform continuity properties of strongly continuous cosine families, Houston J. Math. 3(4) (1977), 555-567.
    • (1977) Houston J. Math. , vol.3 , Issue.4 , pp. 555-567
    • Travis, C.C.1    Webb, G.F.2
  • 17
    • 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. Acad. Sci. Hungaricae, 32 (1978), 76-96.
    • (1978) Acta. Math. Acad. Sci. Hungaricae , vol.32 , pp. 76-96
    • Travis, C.C.1    Webb, G.F.2
  • 18
    • 77956615120 scopus 로고    scopus 로고
    • A class of nonlinear integrodifferential impulsive periodic systems of mixed type and optimal controls on Banach space
    • J. Wang, X. Xiang and W. Wei, A class of nonlinear integrodifferential impulsive periodic systems of mixed type and optimal controls on Banach space, J. Appl. Math. Comput. 34 (2010), 465-484.
    • J. Appl. Math. Comput. , vol.34 , Issue.2010 , pp. 465-484
    • Wang, J.1    Xiang, X.2    Wei, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.