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Volumn 29, Issue 2, 2013, Pages 149-158

Oscillatory and periodic solutions in alternately advanced and delayed differential equations

Author keywords

Hybrid equations; Nonoscillation; Oscillation; Periodic solutions; Piecewise constant arguments

Indexed keywords


EID: 84880109069     PISSN: 15842851     EISSN: 18434401     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (23)
  • 1
    • 0001224680 scopus 로고
    • Oscillatory properties of first order linear functional differential equations
    • Aftabizadeh, A. R. and Wiener, J., Oscillatory properties of first order linear functional differential equations, Appl. Anal., 20 (1985), 165-187
    • (1985) Appl. Anal , vol.20 , pp. 165-187
    • Aftabizadeh, A.R.1    Wiener, J.2
  • 2
    • 84972874653 scopus 로고
    • Oscillatory and periodic solutions of an equation alternately of retarded and advanced type
    • Aftabizadeh, A. R. and Wiener, J., Oscillatory and periodic solutions of an equation alternately of retarded and advanced type, Appl. Anal., 23 (1986), 219-231
    • (1986) Appl. Anal , vol.23 , pp. 219-231
    • Aftabizadeh, A.R.1    Wiener, J.2
  • 3
    • 33751002985 scopus 로고    scopus 로고
    • Integral manifolds of differential equations with piecewise constant argument of generalized type
    • Akhmet, M. U., Integral manifolds of differential equations with piecewise constant argument of generalized type, Nonlinear Anal., TMA, 66 (2007) 367-383
    • (2007) Nonlinear Anal., TMA , vol.66 , pp. 367-383
    • Akhmet, M.U.1
  • 4
    • 79953189045 scopus 로고    scopus 로고
    • On a second order differential equation with piecewise constant mixed arguments
    • Bereketoglu, H., Seyhan, G. and Karakoc, F., On a second order differential equation with piecewise constant mixed arguments, Carpathian J. Math., 27 (2011), No. 1, 1-12
    • (2011) Carpathian J. Math , vol.27 , Issue.1 , pp. 1-12
    • Bereketoglu, H.1    Seyhan, G.2    Karakoc, F.3
  • 5
    • 84968468793 scopus 로고
    • An equation alternately of retarded and advanced type
    • Cooke, K. L. and 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
    • Cooke, K.L.1    Wiener, J.2
  • 6
    • 80052440805 scopus 로고    scopus 로고
    • Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument
    • Chiu, Kuo-Shou and Pinto, M., Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument, Acta Math. Appl. Sin. Engl. Ser., 27, (2011), No. 4, 561-568
    • (2011) Acta Math. Appl. Sin. Engl. Ser , vol.27 , Issue.4 , pp. 561-568
    • Chiu, K.-S.1    Pinto, M.2
  • 7
    • 77956946076 scopus 로고    scopus 로고
    • Periodic solutions of differential equations with a general piecewise constant argument and applications
    • Chiu, Kuo-Shou and Pinto, M., Periodic solutions of differential equations with a general piecewise constant argument and applications, E. J. Qualitative Theory of Diff. Equ., 46 (2010), 1-19
    • (2010) E. J. Qualitative Theory of Diff. Equ , vol.46 , pp. 1-19
    • Chiu, K.-S.1    Pinto, M.2
  • 8
    • 84880123202 scopus 로고    scopus 로고
    • Stability of periodic solutions for neural networks with a general piecewise constant argument
    • December, 15-18, Pucón, Chile
    • Chiu, Kuo-Shou and Pinto, M., Stability of periodic solutions for neural networks with a general piecewise constant argument, First Joint International Meeting AMS-SOMACHI, December, 15-18, (2010), Pucón, Chile
    • (2010) First Joint International Meeting AMS-SOMACHI
    • Chiu, K.-S.1    Pinto, M.2
  • 9
    • 84880082985 scopus 로고    scopus 로고
    • Green's function for periodic solutions in alternately advanced and delayed differential systems
    • November, 5-7, Olmué, Chile
    • Chiu, Kuo-Shou and Pinto, M., Green's function for periodic solutions in alternately advanced and delayed differential systems, LXXIX Encuentro de SOMACHI, November, 5-7, (2009), Olmué, Chile
    • (2009) LXXIX Encuentro De SOMACHI
    • Chiu, K.-S.1    Pinto, M.2
  • 11
    • 77952097381 scopus 로고    scopus 로고
    • Oscillatory and periodic solutions of impulsive differential equations with piecewise constant argument
    • Karakoc, F., Bereketoglu, H. and Seyhan, G., Oscillatory and periodic solutions of impulsive differential equations with piecewise constant argument, Acta Appl. Math., 110 (2009), No. 1, 499-510
    • (2009) Acta Appl. Math , vol.110 , Issue.1 , pp. 499-510
    • Karakoc, F.1    Bereketoglu, H.2    Seyhan, G.3
  • 13
    • 63449115192 scopus 로고    scopus 로고
    • Asymptotic equivalence of nonlinear and quasilinear differential equations with piecewise constant arguments
    • Pinto, M., Asymptotic equivalence of nonlinear and quasilinear differential equations with piecewise constant arguments, Math. Comput. Modelling, 49 (2009), 1750-1758
    • (2009) Math. Comput. Modelling , vol.49 , pp. 1750-1758
    • Pinto, M.1
  • 14
    • 79952931948 scopus 로고    scopus 로고
    • Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
    • Pinto, M., Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems, J. Difference of Eqs. Appl., 17 (2011), No. 2, 235-254
    • (2011) J. Difference of Eqs. Appl , vol.17 , Issue.2 , pp. 235-254
    • Pinto, M.1
  • 15
    • 0031128540 scopus 로고    scopus 로고
    • Systems of differential equations of alternately retarded and advanced type
    • Rodrigues, I.W., Systems of differential equations of alternately retarded and advanced type, J. Math. Anal. Appl., 209 (1997), No. 1, 180-190
    • (1997) J. Math. Anal. Appl , vol.209 , Issue.1 , pp. 180-190
    • Rodrigues, I.W.1
  • 16
    • 0011867164 scopus 로고    scopus 로고
    • Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence
    • Seifert, G., Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence, J. Differential Equations, 164 (2000), 451-458
    • (2000) J. Differential Equations , vol.164 , pp. 451-458
    • Seifert, G.1
  • 17
    • 84872778115 scopus 로고
    • Advanced differential equations with piecewise constant argument deviations
    • Shah, S. M. and Wiener, J., Advanced differential equations with piecewise constant argument deviations, Int. J. Math. Math. Sci., 6 (1983), 243-270
    • (1983) Int. J. Math. Math. Sci , vol.6 , pp. 243-270
    • Shah, S.M.1    Wiener, J.2
  • 18
    • 74249091115 scopus 로고    scopus 로고
    • Periodic solutions of discrete Rayleigh equations with deviating arguments
    • Wang, Gen-Qiang and Cheng, Sui-Sun, Periodic solutions of discrete Rayleigh equations with deviating arguments, Taiwanese J. Math., 13 (2009), No. (6B) 2051-2067
    • (2009) Taiwanese J. Math , vol.13 , Issue.6 B , pp. 2051-2067
    • Wang, G.-Q.1    Cheng, S.-S.2
  • 19
    • 84880107229 scopus 로고    scopus 로고
    • Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument
    • Art. ID 950797
    • Wang, Gen-Qiang and Cheng, Sui-Sun, Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument, Int. J. Math. Math. Sci., 2009, Art. ID 950797
    • (2009) Int. J. Math. Math. Sci
    • Wang, G.-Q.1    Cheng, S.-S.2
  • 20
    • 33846893200 scopus 로고    scopus 로고
    • Oscillation of a differential equation with fractional delay and piecewise constant arguments
    • Wang, Y. and Yan, J., Oscillation of a differential equation with fractional delay and piecewise constant arguments, Comput. Math. Appl., 52 (2006), 1099-1106
    • (2006) Comput. Math. Appl , vol.52 , pp. 1099-1106
    • Wang, Y.1    Yan, J.2
  • 22
    • 0001268104 scopus 로고
    • Differential equations alternately of retarded and advanced type
    • Wiener, J. and Aftabizadeh, A. R., Differential equations alternately of retarded and advanced type, J. Math. Anal. Appl., 129 (1988), 243-255
    • (1988) J. Math. Anal. Appl , vol.129 , pp. 243-255
    • Wiener, J.1    Aftabizadeh, A.R.2
  • 23
    • 1542749421 scopus 로고    scopus 로고
    • A damped oscillator with piecewise constant time delay
    • Wiener, J. and Lakshmikantham, V., A damped oscillator with piecewise constant time delay, Nonlinear Stud., 7 (2000), 78-84
    • (2000) Nonlinear Stud , vol.7 , pp. 78-84
    • Wiener, J.1    Lakshmikantham, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.