메뉴 건너뛰기




Volumn 193, Issue 2, 2006, Pages 563-573

Periodic boundary value problems for delay differential equations with impulses

Author keywords

Extremal solutions; Impulsive functional differential equation; Lower and upper method; Periodic boundary value problem

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS;

EID: 33646229100     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.05.037     Document Type: Article
Times cited : (37)

References (34)
  • 2
    • 0032091475 scopus 로고    scopus 로고
    • Boundary value problems for higher order ordinary differential equations with impulses
    • Cabaca A., and Liz E. Boundary value problems for higher order ordinary differential equations with impulses. Nonlinear Anal. 32 (1998) 775-786
    • (1998) Nonlinear Anal. , vol.32 , pp. 775-786
    • Cabaca, A.1    Liz, E.2
  • 3
    • 0031152644 scopus 로고    scopus 로고
    • Periodic boundary value problems for functional differential equations with impulses
    • Dong Y. Periodic boundary value problems for functional differential equations with impulses. J. Math. Anal. Appl. 210 (1997) 170-181
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 170-181
    • Dong, Y.1
  • 4
    • 0009976576 scopus 로고    scopus 로고
    • A contribution to the study of functional differential equations with impulses
    • Franco D., Liz E., Nieto J.J., and Rogovchenko Y.V. A contribution to the study of functional differential equations with impulses. Math. Nachr 218 (2000) 49-60
    • (2000) Math. Nachr , vol.218 , pp. 49-60
    • Franco, D.1    Liz, E.2    Nieto, J.J.3    Rogovchenko, Y.V.4
  • 5
    • 0000012077 scopus 로고    scopus 로고
    • Upper and lower solutions of boundary value problems for functional differential equations and theorems on functional differential inequalities
    • Hakl R., Kihuradze I., and Påuža B. Upper and lower solutions of boundary value problems for functional differential equations and theorems on functional differential inequalities. Georgian Math. J. 7 (2000) 489-512
    • (2000) Georgian Math. J. , vol.7 , pp. 489-512
    • Hakl, R.1    Kihuradze, I.2    Påuža, B.3
  • 6
    • 0037408488 scopus 로고    scopus 로고
    • On a boundary value problem for first-order scalar functional differential equations
    • Hakl R., Lomtatidze A., and Puza B. On a boundary value problem for first-order scalar functional differential equations. Nonlinear Anal. 53 (2003) 391-405
    • (2003) Nonlinear Anal. , vol.53 , pp. 391-405
    • Hakl, R.1    Lomtatidze, A.2    Puza, B.3
  • 7
    • 0037081086 scopus 로고    scopus 로고
    • Periodic boundary value problem for first-order impulsive functional differential equations
    • He Z., and Yu J. Periodic boundary value problem for first-order impulsive functional differential equations. J. Comput. Appl. Math. 138 (2002) 205-217
    • (2002) J. Comput. Appl. Math. , vol.138 , pp. 205-217
    • He, Z.1    Yu, J.2
  • 8
    • 9644310213 scopus 로고    scopus 로고
    • Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions
    • He Z., and Ze X. Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions. Comput. Math. Appl. 48 (2004) 73-84
    • (2004) Comput. Math. Appl. , vol.48 , pp. 73-84
    • He, Z.1    Ze, X.2
  • 9
    • 0029704154 scopus 로고    scopus 로고
    • Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations
    • Hristova S.G., and Bainov D.D. Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations. J. Math. Anal. Appl. 197 (1996) 1-13
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 1-13
    • Hristova, S.G.1    Bainov, D.D.2
  • 10
    • 0035341908 scopus 로고    scopus 로고
    • Monotone-iterative method of V. Lakshmikantham for a periodic boundary value problem for a class of differential equations with "Supremum"
    • Hristova S.G., and Roberts L.F. Monotone-iterative method of V. Lakshmikantham for a periodic boundary value problem for a class of differential equations with "Supremum". Nonlinear Anal. 44 (2001) 601-612
    • (2001) Nonlinear Anal. , vol.44 , pp. 601-612
    • Hristova, S.G.1    Roberts, L.F.2
  • 11
    • 1642519758 scopus 로고    scopus 로고
    • On monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations
    • Jiang D., Nieto J.J., and Zuo W. On monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations. J. Math. Anal. Appl. 289 (2004) 691-699
    • (2004) J. Math. Anal. Appl. , vol.289 , pp. 691-699
    • Jiang, D.1    Nieto, J.J.2    Zuo, W.3
  • 14
    • 6344254788 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solutions of functional differential equations with impulses
    • Li W., and Huo H. Existence and global attractivity of positive periodic solutions of functional differential equations with impulses. Nonlinear Anal. 59 (2004) 857-877
    • (2004) Nonlinear Anal. , vol.59 , pp. 857-877
    • Li, W.1    Huo, H.2
  • 15
    • 11044221395 scopus 로고    scopus 로고
    • Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
    • Li W., and Huo H. Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics. J. Comput. Appl. Math. 174 (2005) 227-238
    • (2005) J. Comput. Appl. Math. , vol.174 , pp. 227-238
    • Li, W.1    Huo, H.2
  • 16
    • 20344397977 scopus 로고    scopus 로고
    • Periodic boundary value problems for impulsive differential-difference equations
    • Li J., and Shen J. Periodic boundary value problems for impulsive differential-difference equations. Indian J. Pure Appl. Math. 35 (2004) 1265-1277
    • (2004) Indian J. Pure Appl. Math. , vol.35 , pp. 1265-1277
    • Li, J.1    Shen, J.2
  • 17
    • 3442882379 scopus 로고    scopus 로고
    • Periodic boundary value problems for impulsive systems containing Hammerstein type integrals
    • Liu X. Periodic boundary value problems for impulsive systems containing Hammerstein type integrals. Dynamic Systems Appl. 6 (1997) 517-528
    • (1997) Dynamic Systems Appl. , vol.6 , pp. 517-528
    • Liu, X.1
  • 18
    • 1842790102 scopus 로고    scopus 로고
    • Continuous dependence on initial values for impulsive delay differential equations
    • Liu X., and Ballinger G. Continuous dependence on initial values for impulsive delay differential equations. Appl. Math. Lett. 17 (2004) 483-490
    • (2004) Appl. Math. Lett. , vol.17 , pp. 483-490
    • Liu, X.1    Ballinger, G.2
  • 19
    • 2342538996 scopus 로고    scopus 로고
    • Stability theorems and existence results for periodic solutions of nonlinear impulsive delay differential equations with variable coefficients
    • Liu Y., and Ge W. Stability theorems and existence results for periodic solutions of nonlinear impulsive delay differential equations with variable coefficients. Nonlinear Anal. 57 (2004) 363-399
    • (2004) Nonlinear Anal. , vol.57 , pp. 363-399
    • Liu, Y.1    Ge, W.2
  • 20
    • 0002717282 scopus 로고
    • Initial value problem for first order impulsive integro-differential equations in Banach spaces
    • Liu X., and Guo D. Initial value problem 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.1    Guo, D.2
  • 21
    • 0030304439 scopus 로고    scopus 로고
    • Boundary value problems for impulsive first-order integro-differential equations of Fredholm type
    • Liz E., and Nieto J.J. Boundary value problems for impulsive first-order integro-differential equations of Fredholm type. Acta Math. Hungar 71 (1996) 155-170
    • (1996) Acta Math. Hungar , vol.71 , pp. 155-170
    • Liz, E.1    Nieto, J.J.2
  • 22
    • 0030585606 scopus 로고    scopus 로고
    • Periodic boundary value problems for a class of functional differential
    • Liz E., and Nieto J.J. Periodic boundary value problems for a class of functional differential. J. Math. Anal. Appl. 200 (1996) 680-686
    • (1996) J. Math. Anal. Appl. , vol.200 , pp. 680-686
    • Liz, E.1    Nieto, J.J.2
  • 23
    • 0031567803 scopus 로고    scopus 로고
    • Basic theory for nonresonance impulsive periodic problems of first order
    • Nieto J.J. Basic theory for nonresonance impulsive periodic problems of first order. J. Math. Anal. Appl. 205 (1997) 423-433
    • (1997) J. Math. Anal. Appl. , vol.205 , pp. 423-433
    • Nieto, J.J.1
  • 24
    • 0036885482 scopus 로고    scopus 로고
    • Periodic boundary value problems for first-order impulsive ordinary differential equations
    • Nieto J.J. Periodic boundary value problems for first-order impulsive ordinary differential equations. Nonlinear Anal. 51 (2002) 1223-1232
    • (2002) Nonlinear Anal. , vol.51 , pp. 1223-1232
    • Nieto, J.J.1
  • 25
    • 31244432616 scopus 로고    scopus 로고
    • Impulsive resonance periodic problems of first order
    • Nieto J.J. Impulsive resonance periodic problems of first order. Appl. Math. Lett. 15 (2002) 489-493
    • (2002) Appl. Math. Lett. , vol.15 , pp. 489-493
    • Nieto, J.J.1
  • 26
    • 0034251201 scopus 로고    scopus 로고
    • Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions
    • Nieto J.J., and Rodríguez-López R. Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions. Comput. Math. Appl. 40 (2000) 433-442
    • (2000) Comput. Math. Appl. , vol.40 , pp. 433-442
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 27
    • 0141849307 scopus 로고    scopus 로고
    • Remarks on periodic boundary value problems for functional differential equations
    • Nieto J.J., and Rodríguez-López R. Remarks on periodic boundary value problems for functional differential equations. J. Comput. Appl. Math. 158 (2003) 339-353
    • (2003) J. Comput. Appl. Math. , vol.158 , pp. 339-353
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 28
    • 12744277840 scopus 로고    scopus 로고
    • Periodic solutions for ordinary differential equations with sublinear impulsive effects
    • Qian D., and Li X. Periodic solutions for ordinary differential equations with sublinear impulsive effects. J. Math. Anal. Appl. 303 (2005) 288-303
    • (2005) J. Math. Anal. Appl. , vol.303 , pp. 288-303
    • Qian, D.1    Li, X.2
  • 31
    • 84867935976 scopus 로고    scopus 로고
    • New maximum principles for first-order impulsive boundary value problems
    • Shen J. New maximum principles for first-order impulsive boundary value problems. Appl. Math. Lett. 16 (2003) 105-112
    • (2003) Appl. Math. Lett. , vol.16 , pp. 105-112
    • Shen, J.1
  • 32
    • 0035500368 scopus 로고    scopus 로고
    • Oscillation of first-order impulsive differential equations with advanced argument
    • Yan J. Oscillation of first-order impulsive differential equations with advanced argument. Comput. Math. Appl. 42 (2001) 1353-1363
    • (2001) Comput. Math. Appl. , vol.42 , pp. 1353-1363
    • Yan, J.1
  • 33
    • 12944265108 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems
    • Yan J., Zhao A., and Nieto J.J. Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems. Math. Comput. Model 40 (2004) 509-518
    • (2004) Math. Comput. Model , vol.40 , pp. 509-518
    • Yan, J.1    Zhao, A.2    Nieto, J.J.3
  • 34
    • 24344492624 scopus 로고    scopus 로고
    • Optimal existence conditions for the periodic delay j-Laplace equation with upper and lower solutions in the reverse order
    • Zuo W., Jiang D., O'Regan D., and Agarwal R.P. Optimal existence conditions for the periodic delay j-Laplace equation with upper and lower solutions in the reverse order. Results Math. 44 (2003) 375-385
    • (2003) Results Math. , vol.44 , pp. 375-385
    • Zuo, W.1    Jiang, D.2    O'Regan, D.3    Agarwal, R.P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.