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Volumn 52, Issue 5, 2003, Pages 1411-1440

On the second-order differential equation with piecewise constant argument and almost periodic coefficients

Author keywords

Almost periodic solutions; Delay equations; Piecewise constant argument; Quasi periodic solutions

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS; THEOREM PROVING;

EID: 0037290356     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00172-4     Document Type: Article
Times cited : (12)

References (19)
  • 1
    • 0001304919 scopus 로고
    • Oscillatory and periodic solutions of delay differential equations with piecewise constant argument
    • Aftabizadeh A.R., Wiener J., Xu J.M. Oscillatory and periodic solutions of delay differential equations with piecewise constant argument. Proc. Amer. Math. Soc. 99:1987;673-679.
    • (1987) Proc. Amer. Math. Soc. , vol.99 , pp. 673-679
    • Aftabizadeh, A.R.1    Wiener, J.2    Xu, J.M.3
  • 2
    • 0000153927 scopus 로고
    • Models of vertically transmitted diseases with sequential-continuous dynamics
    • V. Lakshmikantham. New York: Academic Press
    • Busenberg S., Cooke K.L. Models of vertically transmitted diseases with sequential-continuous dynamics. Lakshmikantham V. Nonlinear Phenomena in Mathematical Sciences. 1982;179-187 Academic Press, New York.
    • (1982) Nonlinear Phenomena in Mathematical Sciences , pp. 179-187
    • Busenberg, S.1    Cooke, K.L.2
  • 3
    • 0008402812 scopus 로고
    • Retarded differential equations with piecewise constant delays
    • Cooke K.L., Wiener J. Retarded differential equations with piecewise constant delays. J. Math. Anal. Appl. 99:1984;265-297.
    • (1984) J. Math. Anal. Appl. , vol.99 , pp. 265-297
    • Cooke, K.L.1    Wiener, J.2
  • 4
    • 0002099636 scopus 로고
    • A survey of differential equation with piecewise continuous argument
    • Springer, Berlin
    • K.L. Cooke, J. Wiener, A survey of differential equation with piecewise continuous argument, Lecture Notes in Mathematics, Vol. 1475, Springer, Berlin, 1991, pp. 1-15.
    • (1991) Lecture Notes in Mathematics , vol.1475 , pp. 1-15
    • Cooke, K.L.1    Wiener, J.2
  • 6
    • 0003233070 scopus 로고
    • Almost periodic differential equations
    • Berlin: Springer
    • Fink A.M. Almost periodic differential equations. Lecture Notes in Mathematics. Vol. 377:1974;Springer, Berlin.
    • (1974) Lecture Notes in Mathematics , vol.377
    • Fink, A.M.1
  • 7
    • 0036501091 scopus 로고    scopus 로고
    • On quasi-periodic solutions of differential equations with piecewise constant argument
    • Küpper T., Yuan Rong On quasi-periodic solutions of differential equations with piecewise constant argument. J. Math. Anal. Appl. 267(1):2002;173-193.
    • (2002) J. Math. Anal. Appl. , vol.267 , Issue.1 , pp. 173-193
    • Küpper, T.1    Yuan, R.2
  • 8
    • 84968498747 scopus 로고
    • On almost periodic solutions of a class of differential equations
    • Meisters G.H. On almost periodic solutions of a class of differential equations. Proc. Amer. Math. Soc. 10:1959;113-119.
    • (1959) Proc. Amer. Math. Soc. , vol.10 , pp. 113-119
    • Meisters, G.H.1
  • 9
    • 84872778115 scopus 로고
    • Advanced differential equations with piecewise constant argument deviations
    • Shah S.M., Wiener J. Advanced differential equations with piecewise constant argument deviations. Internat. J. Math. Math. Soc. 6:1983;671-703.
    • (1983) Internat. J. Math. Math. Soc. , vol.6 , pp. 671-703
    • Shah, S.M.1    Wiener, J.2
  • 11
    • 0000211684 scopus 로고    scopus 로고
    • A second-order delay differential equation with multiple periodic solutions
    • Wiener J. A second-order delay differential equation with multiple periodic solutions. J. Math. Anal. Appl. 229:1999;659-676.
    • (1999) J. Math. Anal. Appl. , vol.229 , pp. 659-676
    • Wiener, J.1
  • 12
    • 0033212658 scopus 로고    scopus 로고
    • Excitability of a second-order delay differential equation
    • Wiener J., Lakshmikantham V. Excitability of a second-order delay differential equation. Nonlinear Anal. 38:1999;1-11.
    • (1999) Nonlinear Anal. , vol.38 , pp. 1-11
    • Wiener, J.1    Lakshmikantham, V.2
  • 13
    • 0033212448 scopus 로고    scopus 로고
    • Complicated dynamics in a delay Klein-Gordon equation
    • Wiener J., Lakshmikantham V. Complicated dynamics in a delay Klein-Gordon equation. Nonlinear Anal. 38:1999;75-85.
    • (1999) Nonlinear Anal. , vol.38 , pp. 75-85
    • Wiener, J.1    Lakshmikantham, V.2
  • 14
    • 0001571377 scopus 로고    scopus 로고
    • Existence of almost periodic solution of second order neutral delay differential equations with piecewise constant argument
    • Yuan Rong Existence of almost periodic solution of second order neutral delay differential equations with piecewise constant argument. Sci. China, Ser. A. 41(3):1998;232-241.
    • (1998) Sci. China, Ser. A , vol.41 , Issue.3 , pp. 232-241
    • Yuan, R.1
  • 15
    • 0033196939 scopus 로고    scopus 로고
    • Almost periodic solution of a class of singularly perturbed differential equations with piecewise constant argument
    • Yuan Rong Almost periodic solution of a class of singularly perturbed differential equations with piecewise constant argument. Nonlinear Anal. Theory Methods Appl. 37:1999;841-859.
    • (1999) Nonlinear Anal. Theory Methods Appl. , vol.37 , pp. 841-859
    • Yuan, R.1
  • 16
    • 0033483407 scopus 로고    scopus 로고
    • On the existence of almost periodic solutions of a singularly perturbed differential equations with piecewise constant argument
    • Yuan Rong On the existence of almost periodic solutions of a singularly perturbed differential equations with piecewise constant argument. Z. Angew. Math. Phys. 50:1999;94-119.
    • (1999) Z. Angew. Math. Phys. , vol.50 , pp. 94-119
    • Yuan, R.1
  • 17
    • 0036015407 scopus 로고    scopus 로고
    • On the regular solution of a second order delay differential equation
    • Yuan Rong On the regular solution of a second order delay differential equation. Z. Angew. Math. Phys. 53:2002;407-437.
    • (2002) Z. Angew. Math. Phys. , vol.53 , pp. 407-437
    • Yuan, R.1
  • 18
    • 0001060640 scopus 로고    scopus 로고
    • Almost periodic solutions of differential equations with piecewise constant argument
    • Yuan R., Hong J. Almost periodic solutions of differential equations with piecewise constant argument. Analysis. 16:1996;171-180.
    • (1996) Analysis , vol.16 , pp. 171-180
    • Yuan, R.1    Hong, J.2
  • 19
    • 0031126705 scopus 로고    scopus 로고
    • The existence of almost periodic solution for a class of differential equations with piecewise constant argument
    • Yuan R., Hong J. The existence of almost periodic solution for a class of differential equations with piecewise constant argument. Nonlinear Anal. Theory Methods Appl. 28(8):1997;1439-1450.
    • (1997) Nonlinear Anal. Theory Methods Appl. , vol.28 , Issue.8 , pp. 1439-1450
    • Yuan, R.1    Hong, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.