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Volumn 298, Issue 1, 2004, Pages 298-307

Existence theorem of periodic solutions for a delay nonlinear differential equation with piecewise constant arguments

Author keywords

Delay differential equation; Periodic solution; Piecewise constant argument

Indexed keywords


EID: 4544293812     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.05.016     Document Type: Article
Times cited : (14)

References (20)
  • 1
    • 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
  • 2
    • 84872778115 scopus 로고
    • Advanced differential equations with piecewise constant argument deviations
    • Shan S.M. Wiener J. Advanced differential equations with piecewise constant argument deviations Internat. J. Math. Math. Sci. 6 1983 671-703
    • (1983) Internat. J. Math. Math. Sci. , vol.6 , pp. 671-703
    • Shan, S.M.1    Wiener, J.2
  • 3
    • 0001304919 scopus 로고
    • Oscillatory and periodic solutions of delay differential equations with piecewise constant argument
    • Aftabizadeh A.R. Wiener J. Xu J. 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.3
  • 4
    • 0000153927 scopus 로고
    • Models of vertically transmitted diseases with sequential-continuous dynamics
    • V. Lakshmikantham (Ed.), New York: Academic Press
    • Busenerg S. Cooke K.L. Models of vertically transmitted diseases with sequential-continuous dynamics In: Lakshmikantham V. (Ed.) Nonlinear Phenomena in Mathematical Sciences 1982 179-187 Academic Press New York
    • (1982) Nonlinear Phenomena in Mathematical Sciences , pp. 179-187
    • Busenerg, S.1    Cooke, K.L.2
  • 5
    • 77955655640 scopus 로고
    • Boundary-value problems for partial differential equations with piecewise constant delay
    • Wiener J. Boundary-value problems for partial differential equations with piecewise constant delay Internat. J. Math. Math. Sci. 14 1991 301-321
    • (1991) Internat. J. Math. Math. Sci. , vol.14 , pp. 301-321
    • Wiener, J.1
  • 6
    • 84968468793 scopus 로고
    • An equation alternately of retarded and advanced type
    • Cook K.L. Wiener J. An equation alternately of retarded and advanced type Proc. Amer. Math. Soc. 99 1987 726-732
    • (1987) Proc. Amer. Math. Soc. , vol.99 , pp. 726-732
    • Cook, K.L.1    Wiener, J.2
  • 7
    • 0001268104 scopus 로고
    • Oscillations in systems of differential equations with piecewise constant argument
    • Wiener J. Cooke K.L. Oscillations in systems of differential equations with piecewise constant argument J. Math. Anal. Appl. 129 1988 243-255
    • (1988) J. Math. Anal. Appl. , vol.129 , pp. 243-255
    • Wiener, J.1    Cooke, K.L.2
  • 8
    • 4544245404 scopus 로고
    • Partial differential equations with piecewise constant delay
    • Wiener J. Debnath L. Partial differential equations with piecewise constant delay Internat. J. Math. Math. Sci. 14 1991 485-496
    • (1991) Internat. J. Math. Math. Sci. , vol.14 , pp. 485-496
    • Wiener, J.1    Debnath, L.2
  • 9
    • 4544251122 scopus 로고
    • The Fourier method for partial differential equations with piecewise continuous delay
    • J. R. Graef, J. K. Hale (Eds.), Providence, RI: American Mathematical Society
    • Wiener J. Debnath L. The Fourier method for partial differential equations with piecewise continuous delay in: Graef J.R. Hale J.K. (Eds.) Contemporary Mathematical vol. 129 1992 339-346 American Mathematical Society Providence, RI
    • (1992) Contemporary Mathematical , vol.129 , pp. 339-346
    • Wiener, J.1    Debnath, L.2
  • 11
    • 4544384527 scopus 로고
    • Oscillatory and asymptotic behavior of first order nonlinear differential equations with retarded argument
    • [t]
    • Lin L.C. Wang G.Q. Oscillatory and asymptotic behavior of first order nonlinear differential equations with retarded argument [t] Chinese Sci. Bull. 36 1991 889-891
    • (1991) Chinese Sci. Bull. , vol.36 , pp. 889-891
    • Lin, L.C.1    Wang, G.Q.2
  • 12
    • 0002529396 scopus 로고
    • Existence stability and oscillation of the solutions of first order neutral equation with piecewise constant argument
    • Papaschinopoulos G. Schinas J. Existence stability and oscillation of the solutions of first order neutral equation with piecewise constant argument Appl. Anal. 44 1992 99-111
    • (1992) Appl. Anal. , vol.44 , pp. 99-111
    • Papaschinopoulos, G.1    Schinas, J.2
  • 13
    • 4544226288 scopus 로고
    • Oscillations and asymptotic stability of solutions of first order neutral equation with piecewise constant argument
    • Huang Y.K. Oscillations and asymptotic stability of solutions of first order neutral equation with piecewise constant argument J. Math. Anal. Appl. 149 1992 99-111
    • (1992) J. Math. Anal. Appl. , vol.149 , pp. 99-111
    • Huang, Y.K.1
  • 14
    • 0034662559 scopus 로고
    • Oscillatory and nonoscillatory delay equations with piecewise constant argument
    • Shen J.H. Stavroulakis I.P. Oscillatory and nonoscillatory delay equations with piecewise constant argument J. Math. Anal. Appl. 248 1992 385-401
    • (1992) J. Math. Anal. Appl. , vol.248 , pp. 385-401
    • Shen, J.H.1    Stavroulakis, I.P.2
  • 15
    • 0009450330 scopus 로고    scopus 로고
    • Oscillatory and periodic solutions to a diffusion equation of neutral type
    • Wiener J. Heller W. Oscillatory and periodic solutions to a diffusion equation of neutral type Internat. J. Math. Math. Sci. 22 1999 313-348
    • (1999) Internat. J. Math. Math. Sci. , vol.22 , pp. 313-348
    • Wiener, J.1    Heller, W.2
  • 17
    • 4544363550 scopus 로고
    • A survey of differential equations with piecewise constant argument
    • Cooke K.L. Wiener J. A survey of differential equations with piecewise constant argument Lecture Notes in Math. vol. 1475 1988 359-367
    • (1988) Lecture Notes in Math. , vol.1475 , pp. 359-367
    • Cooke, K.L.1    Wiener, J.2
  • 18
    • 0003225449 scopus 로고
    • Coincidence Degree and Nonlinear Differential Equations
    • Berlin: Springer-Verlag
    • Gaines R.E. Mawhin J.L. Coincidence Degree and Nonlinear Differential Equations Lecture Notes in Math. vol. 586 1977 Springer-Verlag Berlin
    • (1977) Lecture Notes in Math. , vol.586
    • Gaines, R.E.1    Mawhin, J.L.2
  • 19
    • 4544232623 scopus 로고
    • Beijing: People's Education Publishers (in Chinese)
    • Jiang Z.J. Mathematical Analysis 1978 People's Education Publishers Beijing (in Chinese)
    • (1978) Mathematical Analysis
    • Jiang, Z.J.1
  • 20
    • 3042510840 scopus 로고
    • Global Behavior of Nonlinear Difference Equations of Higher Order with Applications
    • Dordrecht: Kluwer Academic
    • Kocic V.L. Ladas G. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications Mathematics and Its Applications vol. 256 1993 Kluwer Academic Dordrecht
    • (1993) Mathematics and Its Applications , vol.256
    • Kocic, V.L.1    Ladas, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.