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Volumn 48, Issue 1-2, 2004, Pages 73-84

Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions

Author keywords

Impulsive integro differential equation; Monotone iterative technique; Periodic boundary condition; Upper and lower solution

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 9644310213     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.01.005     Document Type: Article
Times cited : (67)

References (15)
  • 3
    • 0008042849 scopus 로고
    • Periodic boundary value problem for impulsive integro-differential equations of Volterra type
    • G.S. Ladde and S. Sathanantham, Periodic boundary value problem for impulsive integro-differential equations of Volterra type, J. Math. Phy. Sci. 25, 119-129, (1991).
    • (1991) J. Math. Phy. Sci. , vol.25 , pp. 119-129
    • Ladde, G.S.1    Sathanantham, S.2
  • 4
    • 0008140951 scopus 로고
    • Iterative methods for solutions of impulsive functional differential systems
    • X.Z. Liu, Iterative methods for solutions of impulsive functional differential systems, Appl. Anal. 44, 171-182, (1992).
    • (1992) Appl. Anal. , vol.44 , pp. 171-182
    • Liu, X.Z.1
  • 6
    • 22444452435 scopus 로고    scopus 로고
    • Periodic boundary value problems for impulsive integro-differential equations of mixed type in Banach spaces
    • X.Z. Liu and D.J. Guo, Periodic boundary value problems for impulsive integro-differential equations of mixed type in Banach spaces, Chin. Ann. of Math. 19B, 517-528, (1998).
    • (1998) Chin. Ann. of Math. , vol.19 B , pp. 517-528
    • Liu, X.Z.1    Guo, D.J.2
  • 7
    • 2042525430 scopus 로고    scopus 로고
    • Solutions of periodic boundary value problems for first order nonlinear impulsive differential equations in Banach spaces (in Chinese)
    • Z.L. Wei, Solutions of periodic boundary value problems for first order nonlinear impulsive differential equations in Banach spaces (in Chinese), Sys. Sci. & Math. Scis. 19, 378-384, (1999).
    • (1999) Sys. Sci. & Math. Scis. , vol.19 , pp. 378-384
    • Wei, Z.L.1
  • 8
    • 0029704154 scopus 로고    scopus 로고
    • Monotone iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations
    • G.S. Hristova and D.D. Bainov, Monotone iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations, J. Math. Anal. Appl. 197, 1-13, (1996).
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 1-13
    • Hristova, G.S.1    Bainov, D.D.2
  • 9
    • 0008044095 scopus 로고
    • Application of the monotone iterative-techniques of V. Lakshmikantham for solving the initial value problem for impulsive differential-difference equations
    • G.S. Hristova and D.D. Bainov, Application of the monotone iterative-techniques of V. Lakshmikantham for solving the initial value problem for impulsive differential-difference equations, J. Rocky Mountain. Math. 23, 609-618, (1993).
    • (1993) J. Rocky Mountain. Math. , vol.23 , pp. 609-618
    • Hristova, G.S.1    Bainov, D.D.2
  • 10
    • 0031567803 scopus 로고    scopus 로고
    • Basic theory for nonresonance impulsive periodic problems of first order
    • J.J. Nieto, Basic theory for nonresonance impulsive periodic problems of first order, J. Math. Anal. Appl. 205, 423-433, (1997).
    • (1997) J. Math. Anal. Appl. , vol.205 , pp. 423-433
    • Nieto, J.J.1
  • 11
    • 0030304439 scopus 로고    scopus 로고
    • Boundary value problems for impulsive first order integro-differential equations of Fredholm type
    • E. Liz and J.J. Nieto, Boundary value problems for impulsive first order integro-differential equations of Fredholm type, Acta Math. Hungar. 71, 155-170, (1996).
    • (1996) Acta Math. Hungar. , vol.71 , pp. 155-170
    • Liz, E.1    Nieto, J.J.2
  • 13
    • 0040357195 scopus 로고
    • On monotone iterative method for periodic boundary value problem for nonlinear integro-differential equations
    • Y.B. Chen and W. Zhuang, On monotone iterative method for periodic boundary value problem for nonlinear integro-differential equations, Nonlinear Analysis, T. M. A. 22, 295-303, (1994).
    • (1994) Nonlinear Analysis, T. M. A. , vol.22 , pp. 295-303
    • Chen, Y.B.1    Zhuang, W.2
  • 14
    • 0034251201 scopus 로고    scopus 로고
    • Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions
    • J.J. Nieto and R. Rodriguez-Lopez, Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions, Computers Math. Applic. 40 (4/5), 433-442, (2000).
    • (2000) Computers Math. Applic. , vol.40 , Issue.4-5 , pp. 433-442
    • Nieto, J.J.1    Rodriguez-Lopez, R.2
  • 15


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.