메뉴 건너뛰기




Volumn 177, Issue 20, 2007, Pages 4256-4270

Euler polygonal method for metric dynamical systems

Author keywords

Euler polygonal approximation; Euler polygonal method; Existence of solution; Metric dynamical system; Uniqueness of solution

Indexed keywords

EULER POLYGONAL APPROXIMATION; EULER POLYGONAL METHOD; EXISTENCE OF SOLUTION; METRIC DYNAMICAL SYSTEMS; UNIQUENESS OF SOLUTION;

EID: 34447552426     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.05.002     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0042864636 scopus 로고    scopus 로고
    • Extrapolation method for improving the solution of fuzzy initial value problems
    • Abbasbandy S., and Allah Viranloo T. Extrapolation method for improving the solution of fuzzy initial value problems. Mathematical and Computational Applications 9 2 (2004) 205-214
    • (2004) Mathematical and Computational Applications , vol.9 , Issue.2 , pp. 205-214
    • Abbasbandy, S.1    Allah Viranloo, T.2
  • 3
    • 20444443902 scopus 로고    scopus 로고
    • Tuning of reachable set in one dimensional fuzzy differential inclusions
    • Abbasbandy S., Nieto J.J., and Alavi M. Tuning of reachable set in one dimensional fuzzy differential inclusions. Chaos, Solitons & Fractals 26 (2005) 1337-1341
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 1337-1341
    • Abbasbandy, S.1    Nieto, J.J.2    Alavi, M.3
  • 4
    • 33846370208 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential equations by predictor-corrector method
    • Allahviranloo T., Ahmady N., and Ahmady E. Numerical solution of fuzzy differential equations by predictor-corrector method. Information Sciences 177 7 (2007) 1633-1647
    • (2007) Information Sciences , vol.177 , Issue.7 , pp. 1633-1647
    • Allahviranloo, T.1    Ahmady, N.2    Ahmady, E.3
  • 5
    • 0002087156 scopus 로고
    • Mutational equations in metric spaces
    • Aubin J.-P. Mutational equations in metric spaces. Set-Valued Analysis 1 (1993) 3-46
    • (1993) Set-Valued Analysis , vol.1 , pp. 3-46
    • Aubin, J.-P.1
  • 6
    • 33846224330 scopus 로고    scopus 로고
    • First order linear fuzzy differential equations under generalized differentiability
    • Bede B., Rudas I.J., and Bencsik A.L. First order linear fuzzy differential equations under generalized differentiability. Information Sciences 177 7 (2007) 1648-1662
    • (2007) Information Sciences , vol.177 , Issue.7 , pp. 1648-1662
    • Bede, B.1    Rudas, I.J.2    Bencsik, A.L.3
  • 8
    • 85126452753 scopus 로고    scopus 로고
    • Y. Chalco-Cano, H. Román-Flores, On new solutions of fuzzy differential equations, Chaos, Solitons & Fractals. doi:10.1016/j.chaos.2006.10.043.
  • 10
    • 0032116380 scopus 로고    scopus 로고
    • Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions
    • Congxin W., and Shiji S. Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions. Information Sciences 108 (1998) 123-134
    • (1998) Information Sciences , vol.108 , pp. 123-134
    • Congxin, W.1    Shiji, S.2
  • 11
    • 30144435903 scopus 로고    scopus 로고
    • A note on fuzzy differential equations
    • Kaleva O. A note on fuzzy differential equations. Nonlinear Analysis 64 5 (2006) 895-900
    • (2006) Nonlinear Analysis , vol.64 , Issue.5 , pp. 895-900
    • Kaleva, O.1
  • 12
    • 0036885474 scopus 로고    scopus 로고
    • Quasi-flows and equations with nonlinear differentials
    • Kloeden P., Sadovsky B., and Vasilyeba I. Quasi-flows and equations with nonlinear differentials. Nonlinear Analysis 51 (2002) 1143-1158
    • (2002) Nonlinear Analysis , vol.51 , pp. 1143-1158
    • Kloeden, P.1    Sadovsky, B.2    Vasilyeba, I.3
  • 15
    • 34250379505 scopus 로고    scopus 로고
    • M.T. Mizukoshi, L.C. Barros, Y. Chalco-Cano, H. Román-Flores, R.C.Bassanezi, Fuzzy differential equations and the extension principle, Information Sciences. doi:10.1016/j.ins.2007.02.039.
  • 16
    • 24944547803 scopus 로고    scopus 로고
    • Bounded solutions for fuzzy differential and integral equations
    • Nieto J.J., and Rodríguez-López R. Bounded solutions for fuzzy differential and integral equations. Chaos, Solitons & Fractals 27 (2006) 1376-1386
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 1376-1386
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 17
    • 28244447936 scopus 로고    scopus 로고
    • Hybrid metric dynamical systems with impulses
    • Nieto J.J., and Rodríguez-López R. Hybrid metric dynamical systems with impulses. Nonlinear Analysis 64 (2006) 368-380
    • (2006) Nonlinear Analysis , vol.64 , pp. 368-380
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 19
    • 34447522172 scopus 로고    scopus 로고
    • J.J. Nieto, R. Rodríguez-López, Metric dynamical systems: a natural extension of differential equations to abstract metric spaces, preprint.
  • 20
    • 34447499105 scopus 로고    scopus 로고
    • J.J. Nieto, R. Rodríguez-López, Cauchy-Peano theorem for metric dynamical systems, preprint.
  • 21
    • 0010047364 scopus 로고
    • Quasidifferential equations in metric spaces
    • Panasyuk A.I. Quasidifferential equations in metric spaces. Differential Equations 21 (1985) 914-921
    • (1985) Differential Equations , vol.21 , pp. 914-921
    • Panasyuk, A.I.1
  • 22
    • 22044449554 scopus 로고    scopus 로고
    • Application of quasidifferential equations to the description of discontinuous processes
    • Panasyuk A.I., and Bentsman J. Application of quasidifferential equations to the description of discontinuous processes. Differential Equations 33 (1997) 1346-1355
    • (1997) Differential Equations , vol.33 , pp. 1346-1355
    • Panasyuk, A.I.1    Bentsman, J.2
  • 23
    • 34250789774 scopus 로고    scopus 로고
    • G. Papaschinopoulos, G. Stefanidou, P. Efraimidis, Existence, uniqueness and asymptotic behavior of the solutions of a fuzzy differential equation with piecewise constant argument, Information Sciences, in press (available online 24 March 2007).
  • 25
    • 33746823905 scopus 로고    scopus 로고
    • Parametric representation of fuzzy numbers and application to fuzzy calculus
    • Stefanini L., Sorini L., and Guerra M.L. Parametric representation of fuzzy numbers and application to fuzzy calculus. Fuzzy Sets and Systems 157 (2006) 2423-2455
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 2423-2455
    • Stefanini, L.1    Sorini, L.2    Guerra, M.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.