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Volumn 66, Issue 1, 2007, Pages 83-92

Monotone iterative technique for addressing impulsive integro-differential equations in Banach spaces

Author keywords

Cone; Impulsive integro differential equation; Initial value problem; Lower and upper solution; Measure of noncompactness

Indexed keywords

ABSTRACTING; CONES; INITIAL VALUE PROBLEMS; ITERATIVE METHODS; NONLINEAR SYSTEMS;

EID: 33750805287     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.11.013     Document Type: Article
Times cited : (62)

References (13)
  • 2
    • 0001582169 scopus 로고
    • Monotone iterative technique for differential equations in Banach spaces
    • Du S.W., and Lakshmikantham V. Monotone iterative technique for differential equations in Banach spaces. J. Anal. Math. Anal. 87 (1982) 454-459
    • (1982) J. Anal. Math. Anal. , vol.87 , pp. 454-459
    • Du, S.W.1    Lakshmikantham, V.2
  • 3
    • 0007024823 scopus 로고
    • Solutions of ordinary differential equations in Banach spaces
    • (in Chinese)
    • Sun J.X. Solutions of ordinary differential equations in Banach spaces. Acta Math. Sinica. 33 (1990) 374-380 (in Chinese)
    • (1990) Acta Math. Sinica. , vol.33 , pp. 374-380
    • Sun, J.X.1
  • 4
    • 0007074978 scopus 로고
    • Extremal solutions initial value problem for integro-differential of mixed type in Banach spaces
    • Sun J.X., and Zhao Z.Q. Extremal solutions initial value problem for integro-differential of mixed type in Banach spaces. Ann. Diff. Eqs. 8 (1992) 469-475
    • (1992) Ann. Diff. Eqs. , vol.8 , pp. 469-475
    • Sun, J.X.1    Zhao, Z.Q.2
  • 5
    • 0001642453 scopus 로고
    • Extremal solutions of nonlinear impulsive integro-differential equations in Banach spaces
    • Guo D.J., and Liu X.Z. Extremal solutions of nonlinear impulsive integro-differential equations in Banach spaces. J. Anal. Math. Anal. 177 (1993) 538-553
    • (1993) J. Anal. Math. Anal. , vol.177 , pp. 538-553
    • Guo, D.J.1    Liu, X.Z.2
  • 6
    • 0002717282 scopus 로고
    • Initial value problems for first-order impulsive integro-differential equations in Banach spaces
    • Liu X.Z., and Guo D.J. Initial value problems for first-order impulsive integro-differential equations in Banach spaces. Comm. Appl. Nonlinear Anal. 2 (1995) 65-83
    • (1995) Comm. Appl. Nonlinear Anal. , vol.2 , pp. 65-83
    • Liu, X.Z.1    Guo, D.J.2
  • 7
    • 0030585187 scopus 로고    scopus 로고
    • Initial value problems for nonlinear seconder order impulsive integro-differential equations in Banach spaces
    • Guo D.J. Initial value problems for nonlinear seconder order impulsive integro-differential equations in Banach spaces. J. Anal. Math. Anal. 200 (1996) 1-13
    • (1996) J. Anal. Math. Anal. , vol.200 , pp. 1-13
    • Guo, D.J.1
  • 8
    • 0034660803 scopus 로고    scopus 로고
    • Initial value problems for seconder order mixed monotone type of impulsive integro-differential equations in Banach spaces
    • Sun J.L., and Ma Y.H. Initial value problems for seconder order mixed monotone type of impulsive integro-differential equations in Banach spaces. J. Anal. Math. Anal. 247 (2000) 506-516
    • (2000) J. Anal. Math. Anal. , vol.247 , pp. 506-516
    • Sun, J.L.1    Ma, Y.H.2
  • 9
    • 0036869665 scopus 로고    scopus 로고
    • A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces
    • Liu L.S., Wu C.X., and Guo F. A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces. J. Anal. Math. Anal. 275 (2002) 369-385
    • (2002) J. Anal. Math. Anal. , vol.275 , pp. 369-385
    • Liu, L.S.1    Wu, C.X.2    Guo, F.3
  • 10
    • 0003142413 scopus 로고
    • Fixed points of increasing operators in ordered Banach spaces and applications
    • Du Y. Fixed points of increasing operators in ordered Banach spaces and applications. Appl. Anal. 38 (1990) 1-20
    • (1990) Appl. Anal. , vol.38 , pp. 1-20
    • Du, Y.1
  • 13
    • 0000925696 scopus 로고
    • On the behaviour of measure of noncompactness with respect to differentiation and integration of vector-valued functions
    • Heinz H.R. On the behaviour of measure of noncompactness with respect to differentiation and integration of vector-valued functions. Nonlinear Anal. 7 (1983) 1351-1371
    • (1983) Nonlinear Anal. , vol.7 , pp. 1351-1371
    • Heinz, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.