메뉴 건너뛰기




Volumn 130, Issue 5, 2000, Pages 1103-1118

Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima

Author keywords

[No Author keywords available]

Indexed keywords


EID: 23044521326     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500000597     Document Type: Article
Times cited : (24)

References (26)
  • 1
    • 33746958192 scopus 로고
    • On the stability of functional-differential equations with respect to the first approximation
    • N. V. Azbelev, M. B. Yermolaev and P. Simonov. On the stability of functional-differential equations with respect to the first approximation. Russ. Math. (Iz. VUZ) 39(10) (1995), 1-7.
    • (1995) Russ. Math. (Iz. VUZ) , vol.39 , Issue.10 , pp. 1-7
    • Azbelev, N.V.1    Yermolaev, M.B.2    Simonov, P.3
  • 2
    • 0000531630 scopus 로고    scopus 로고
    • Existence and stability of the periodic and almost periodic solutions of quasilinear systems with maxima
    • N. R. Bantsur and E. P. Trofimchuk. Existence and stability of the periodic and almost periodic solutions of quasilinear systems with maxima. Ukrain. Math. J. 6 (1998), 747-754.
    • (1998) Ukrain. Math. J. , vol.6 , pp. 747-754
    • Bantsur, N.R.1    Trofimchuk, E.P.2
  • 3
    • 33746960042 scopus 로고    scopus 로고
    • Existence of T-periodic solutions to nonlinear differential equations with maxima
    • in Ukrainian
    • N. R. Bantsur and E. P. Trofimchuk. Existence of T-periodic solutions to nonlinear differential equations with maxima. Nonlinear Oscillations, Kiev 1 (1998), 32-36 (in Ukrainian).
    • (1998) Nonlinear Oscillations, Kiev , vol.1 , pp. 32-36
    • Bantsur, N.R.1    Trofimchuk, E.P.2
  • 4
    • 0002053152 scopus 로고
    • Linearizing equations with state-dependent delays
    • M. Brokate and F. Colonius. Linearizing equations with state-dependent delays. Appl. Math. Optim. 21 (1990), 45-52.
    • (1990) Appl. Math. Optim. , vol.21 , pp. 45-52
    • Brokate, M.1    Colonius, F.2
  • 6
    • 38149147025 scopus 로고
    • Stability properties of the nonlinear functional differential systems
    • P. González and M. Pinto. Stability properties of the nonlinear functional differential systems. J. Math. Analysis Appl. 181 (1994), 562-573.
    • (1994) J. Math. Analysis Appl. , vol.181 , pp. 562-573
    • González, P.1    Pinto, M.2
  • 8
    • 0001648851 scopus 로고    scopus 로고
    • Almost periodic solution of Lasota-Wazewska type delay differential equation
    • K. Gopalsamy and S. Trofimchuk. Almost periodic solution of Lasota-Wazewska type delay differential equation. J. Math. Analysis Appl. 237 (1999), 106-127.
    • (1999) J. Math. Analysis Appl. , vol.237 , pp. 106-127
    • Gopalsamy, K.1    Trofimchuk, S.2
  • 9
    • 0000103184 scopus 로고    scopus 로고
    • Global attractivity in x′(t) = -δx(t) + pf(x(t - τ))
    • I. Györi and S. Trofimchuk. Global attractivity in x′(t) = -δx(t) + pf(x(t - τ)). Dyn. Syst. Appl. 8 (1999), 197-210.
    • (1999) Dyn. Syst. Appl. , vol.8 , pp. 197-210
    • Györi, I.1    Trofimchuk, S.2
  • 12
    • 0005523252 scopus 로고
    • Some new results and problems in the theory of differential-delay equations
    • A. Halanay and J. A. Yorke. Some new results and problems in the theory of differential-delay equations. SIAM Rev. 13(1) (1971), 55-80.
    • (1971) SIAM Rev. , vol.13 , Issue.1 , pp. 55-80
    • Halanay, A.1    Yorke, J.A.2
  • 14
    • 0004451909 scopus 로고
    • Differentiability with respect to delays
    • J. K. Hale and L. A. C. Ladeira. Differentiability with respect to delays. J. Diff. Eqns 92 (1991), 14-26.
    • (1991) J. Diff. Eqns , vol.92 , pp. 14-26
    • Hale, J.K.1    Ladeira, L.A.C.2
  • 15
    • 0000591125 scopus 로고    scopus 로고
    • On differentiability of solutions with respect to parameters in state-dependent delay equations
    • F. Hartung and J. Turi. On differentiability of solutions with respect to parameters in state-dependent delay equations. J. Diff. Eqns 135 (1997), 192-237.
    • (1997) J. Diff. Eqns , vol.135 , pp. 192-237
    • Hartung, F.1    Turi, J.2
  • 16
    • 0002288690 scopus 로고    scopus 로고
    • Weak hyperbolicity of delay differential equations and the 3/2-type stability conditions
    • A. Ivanov and S. Trofimchuk. Weak hyperbolicity of delay differential equations and the 3/2-type stability conditions. Funck. Ekvac. 43 (2000), 39-56.
    • (2000) Funck. Ekvac. , vol.43 , pp. 39-56
    • Ivanov, A.1    Trofimchuk, S.2
  • 21
    • 0034662528 scopus 로고    scopus 로고
    • Existence and stability of almost periodic solutions for quasilinear delay systems and Halanay inequalities
    • In the press
    • E. Liz and S. Trofimchuk. Existence and stability of almost periodic solutions for quasilinear delay systems and Halanay inequalities. J. Math. Analysis Appl. (2000). (In the press.)
    • (2000) J. Math. Analysis Appl.
    • Liz, E.1    Trofimchuk, S.2
  • 22
    • 0030102662 scopus 로고    scopus 로고
    • Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
    • J. Mallet-Paret and G. R. Sell. Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions. J. Diff. Eqns 125 (1996), 385-440.
    • (1996) J. Diff. Eqns , vol.125 , pp. 385-440
    • Mallet-Paret, J.1    Sell, G.R.2
  • 23
    • 84878606679 scopus 로고
    • On some problems of the theory of differential equations with deviating argument
    • A. D. Myshkis. On some problems of the theory of differential equations with deviating argument. Russ. Math. Surv. 32(2) (1977), 181-210.
    • (1977) Russ. Math. Surv. , vol.32 , Issue.2 , pp. 181-210
    • Myshkis, A.D.1
  • 24
    • 0002116999 scopus 로고    scopus 로고
    • Periodic and almost periodic solutions of the systems of differential equations with 'maxima'
    • in Ukrainian
    • A. M. Samoilenko, E. P. Trofimchuk and N. R. Bantsur. Periodic and almost periodic solutions of the systems of differential equations with 'maxima'. Proc. NAS Ukraine 1 (1998), 53-57 (in Ukrainian).
    • (1998) Proc. NAS Ukraine , vol.1 , pp. 53-57
    • Samoilenko, A.M.1    Trofimchuk, E.P.2    Bantsur, N.R.3
  • 25
    • 0000968453 scopus 로고    scopus 로고
    • On solvability of some boundary value problems for differential equations with 'maxima'
    • E. Stepanov. On solvability of some boundary value problems for differential equations with 'maxima'. Topolog. Meth. Nonlinear Analysis 8 (1996), 315-326.
    • (1996) Topolog. Meth. Nonlinear Analysis , vol.8 , pp. 315-326
    • Stepanov, E.1
  • 26
    • 0000602617 scopus 로고
    • Asymptotic stability for one-dimensional differential-delay equations
    • J. A. Yorke. Asymptotic stability for one-dimensional differential-delay equations. J. Diff. Eqns 7 (1970), 189-202.
    • (1970) J. Diff. Eqns , vol.7 , pp. 189-202
    • Yorke, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.