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Volumn 24, Issue 2-3, 1997, Pages 393-409

On existence, uniqueness and numerical approximation for neutral equations with state-dependent delays

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0031210356     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00035-4     Document Type: Article
Times cited : (28)

References (15)
  • 1
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    • (1961) Contrib. Differential Equations , vol.1 , pp. 317-336
    • Driver, R.D.1
  • 2
    • 0002358602 scopus 로고
    • A neutral system with state-dependent delay
    • R.D. Driver, A neutral system with state-dependent delay, J. Differential Equations 54 (1984) 73-86.
    • (1984) J. Differential Equations , vol.54 , pp. 73-86
    • Driver, R.D.1
  • 3
    • 84968490632 scopus 로고
    • Existence and continuous dependence for a class of nonlinear neutral-differential equations
    • L.J. Grimm, Existence and continuous dependence for a class of nonlinear neutral-differential equations, Proc. Amer. Math. Soc. 29 (3) (1971) 467-473.
    • (1971) Proc. Amer. Math. Soc. , vol.29 , Issue.3 , pp. 467-473
    • Grimm, L.J.1
  • 4
    • 0001506014 scopus 로고
    • On approximation of the solutions of delay differential equations by using piecewise constant arguments
    • I. Gyori, On approximation of the solutions of delay differential equations by using piecewise constant arguments, Internat. J. Math. Math. Sci. 14 (1) (1991) 111-126.
    • (1991) Internat. J. Math. Math. Sci. , vol.14 , Issue.1 , pp. 111-126
    • Gyori, I.1
  • 5
    • 0002078163 scopus 로고
    • On numerical approximations for a class of differential equations with time- and state-dependent delays
    • I. Gyori, F. Hartung and J. Turi, On numerical approximations for a class of differential equations with time- and state-dependent delays, Appl. Math. Lett. 8 (6) (1995) 19-24.
    • (1995) Appl. Math. Lett. , vol.8 , Issue.6 , pp. 19-24
    • Gyori, I.1    Hartung, F.2    Turi, J.3
  • 6
    • 33847238155 scopus 로고
    • Existence, uniqueness and continuous dependence for hereditary systems
    • J.K. Hale and M.A. Cruz, Existence, uniqueness and continuous dependence for hereditary systems, Ann. Mat. Pura Appl. 85 (1970) 63-81.
    • (1970) Ann. Mat. Pura Appl. , vol.85 , pp. 63-81
    • Hale, J.K.1    Cruz, M.A.2
  • 10
    • 85033112983 scopus 로고    scopus 로고
    • Parameter identification in classes of hereditary systems of neutral type
    • to appear
    • F. Hartung, T.L. Herdman and J. Turi, Parameter identification in classes of hereditary systems of neutral type, Appl. Math. Comput., to appear.
    • Appl. Math. Comput.
    • Hartung, F.1    Herdman, T.L.2    Turi, J.3
  • 11
    • 0038947137 scopus 로고    scopus 로고
    • Identification of parameters in delay equations with state-dependent delays
    • to appear
    • F. Hartung and J. Turi, Identification of parameters in delay equations with state-dependent delays, J. Nonlinear Anal., to appear.
    • J. Nonlinear Anal.
    • Hartung, F.1    Turi, J.2
  • 12
    • 0021448666 scopus 로고
    • One-step methods of any order for neutral functional differential equations
    • Z. Jackiewicz, One-step methods of any order for neutral functional differential equations, SIAM J. Numer. Anal. 21 (1984) 486-511.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 486-511
    • Jackiewicz, Z.1
  • 13
    • 0007761940 scopus 로고
    • Existence and uniqueness of neutral delay-differential equations with state dependent delays
    • Z. Jackiewicz, Existence and uniqueness of neutral delay-differential equations with state dependent delays, Funkcial. Ekvac. 30 (1987) 9-17.
    • (1987) Funkcial. Ekvac. , vol.30 , pp. 9-17
    • Jackiewicz, Z.1
  • 14
    • 0040725230 scopus 로고
    • One-step methods for neutral delay-differential equations with state-dependent delays
    • Z. Jackiewicz, One-step methods for neutral delay-differential equations with state-dependent delays, Zastos. Mat. 20 (3) (1990) 445-463.
    • (1990) Zastos. Mat. , vol.20 , Issue.3 , pp. 445-463
    • Jackiewicz, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.