메뉴 건너뛰기




Volumn 18, Issue 3-4, 2009, Pages 677-686

On initial value problems for first-order implicit impulsive fuzzy differential equations

Author keywords

Existence and uniqueness; First order implicit impulsive fuzzy differential equation; Fixed point; Initial value problem; Normal fuzzy convex sets

Indexed keywords


EID: 70350025202     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (28)
  • 1
    • 13744257883 scopus 로고    scopus 로고
    • Nonlinear first-order implicit impulsive differential equations in Banach spaces
    • [1] N. J. Huang and H. Y. Lan, "Nonlinear first-order implicit impulsive differential equations in Banach spaces", Indian J. Pure Appl. Math. 35(10) (2004), 1201-1214. (Pubitemid 40239877)
    • (2004) Indian Journal of Pure and Applied Mathematics , vol.35 , Issue.10 , pp. 1201-1214
    • Huang, N.-J.1    Lan, H.-Y.2
  • 4
    • 59649123088 scopus 로고    scopus 로고
    • Use of fuzzy clustering technique and matrices to classify amino acids and its impact to Chou's pseudo amino acid composition
    • (In press, doi:10.1016/j.jtbi.2008.11.003).
    • D. N. Georgiou, T. E. Karakasidis, J. J. Nieto, A. Torres, "Use of fuzzy clustering technique and matrices to classify amino acids and its impact to Chou's pseudo amino acid composition," J. Theoretical Biology (In press, doi:10.1016/j.jtbi.2008.11.003).
    • J. Theoretical Biology
    • Georgiou, D.N.1    Karakasidis, T.E.2    Nieto, J.J.3    Torres, A.4
  • 5
    • 69549121668 scopus 로고    scopus 로고
    • Learning dynamics and stability in networks with fuzzy synapses
    • K. Gopalsamy, "Learning dynamics and stability in networks with fuzzy synapses," Dynam. Systems Appl. 15 (2006), 657-670.
    • (2006) Dynam. Systems Appl. , vol.15 , pp. 657-670
    • Gopalsamy, K.1
  • 6
    • 29444440434 scopus 로고    scopus 로고
    • Existence of solutions of fuzzy neutral differential equations in Banach spaces
    • P. Prakash, J. J. Nieto, J. H. Kim and R. Rodriguez-Lopez, "Existence of solutions of fuzzy neutral differential equations in Banach spaces," Dynam. Systems Appl. 14 (2005), 407-417.
    • (2005) Dynam. Systems Appl. , vol.14 , pp. 407-417
    • Prakash, P.1    Nieto, J.J.2    Kim, J.H.3    Rodriguez-Lopez, R.4
  • 7
    • 0023573517 scopus 로고
    • Fuzzy differential equations
    • O. Kaleva, "Fuzzy differential equations," Fuzzy Sets and Systems 24 (1987), 301-317.
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 301-317
    • Kaleva, O.1
  • 8
    • 0000363222 scopus 로고
    • The Cauchy problem for fuzzy differential equations
    • O. Kaleva, "The Cauchy problem for fuzzy differential equations," Fuzzy Sets and Systems 35 (1990), 389-396.
    • (1990) Fuzzy Sets and Systems , vol.35 , pp. 389-396
    • Kaleva, O.1
  • 9
    • 0000984385 scopus 로고
    • Remarks on Peano-like theorems for fuzzy differential equations
    • P. E. Kloeden, "Remarks on Peano-like theorems for fuzzy differential equations," Fuzzy Sets and Systems 44 (1991), 161-163.
    • (1991) Fuzzy Sets and Systems , vol.44 , pp. 161-163
    • Kloeden, P.E.1
  • 11
    • 0009756910 scopus 로고    scopus 로고
    • The cauchy problem for continuous fuzzy differential equations
    • PII S0165011497000948
    • [11] J. J. Nieto, "The Cauchy problem for continuous fuzzy differential equations, Fuzzy Sets and Systems 102 (1999), 259-262. (Pubitemid 129510837)
    • (1999) Fuzzy Sets and Systems , vol.102 , Issue.2 , pp. 259-262
    • Nieto, J.J.1
  • 12
    • 24944547803 scopus 로고    scopus 로고
    • Bounded solutions for fuzzy differential and integral equations
    • DOI 10.1016/j.chaos.2005.05.012, PII S0960077905004790
    • [12] J. J. Nieto and R. Rodríguez-López, "Bounded solutions for fuzzy differential and integral equations," Chaos, Solitons & Fractals 27 (2006), 1376-1386. (Pubitemid 41329831)
    • (2006) Chaos, Solitons and Fractals , vol.27 , Issue.5 , pp. 1376-1386
    • Nieto, J.J.1    Rodriguez-Lopez, R.2
  • 17
    • 70350016574 scopus 로고    scopus 로고
    • Nonlinear first order implicit fuzzy differential equations
    • (Part 1 Suppl. S).
    • H. Y. Lan and N. J. Huang, "Nonlinear first order implicit fuzzy differential equations", Dyn. Contin. Discrete Impuls. Syst. Ser. B 13 (2006), 353-356 (Part 1 Suppl. S).
    • (2006) Dyn. Contin. Discrete Impuls. Syst. Ser. B , vol.13 , pp. 353-356
    • Lan, H.Y.1    Huang, N.J.2
  • 19
    • 12944265108 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems
    • DOI 10.1016/j.mcm.2003.12.011, PII S0895717704803170
    • [19] J. Yan, A. Zhao and J. J. Nieto, "Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems," Math. Comput. Model. 40 (2004), 509-518. (Pubitemid 40172108)
    • (2004) Mathematical and Computer Modelling , vol.40 , Issue.5-6 , pp. 509-518
    • Yan, J.1    Zhao, A.2    Nieto, J.J.3
  • 20
    • 31244432616 scopus 로고    scopus 로고
    • Impulsive resonance periodic problems of first order
    • J. J. Nieto, "Impulsive resonance periodic problems of first order," Appl. Math. Lett. 15 (2002), 489-493.
    • (2002) Appl. Math. Lett. , vol.15 , pp. 489-493
    • Nieto, J.J.1
  • 21
    • 56549095607 scopus 로고    scopus 로고
    • Variational approach to impulsive differential equations
    • J. J. Nieto and D. O'Regan, "Variational approach to impulsive differential equations," Nonlinear Anal RWA 10 (2009), 680-690.
    • (2009) Nonlinear Anal RWA , vol.10 , pp. 680-690
    • Nieto, J.J.1    O'Regan, D.2
  • 23
    • 33750332425 scopus 로고    scopus 로고
    • Impulsive periodic boundary value problems of first-order differential equations
    • DOI 10.1016/j.jmaa.2005.04.005, PII S0022247X05003227
    • [23] J. Li, J. J. Nieto and J. Shen, "Impulsive periodic boundary value problems of first-order differential equations," J. Math. Anal. Appl. 325 (2007), 226-236. (Pubitemid 44615310)
    • (2007) Journal of Mathematical Analysis and Applications , vol.325 , Issue.1 , pp. 226-236
    • Li, J.1    Nieto, J.J.2    Shen, J.3
  • 25
    • 12844251325 scopus 로고    scopus 로고
    • Method of vector Lyapunov functions for impulsive fuzzy systems
    • J. V. Devi and A. S. Vatsala, "Method of vector Lyapunov functions for impulsive fuzzy systems," Dynam. Systems Appl. 13 (2004), 521-531.
    • (2004) Dynam. Systems Appl. , vol.13 , pp. 521-531
    • Devi, J.V.1    Vatsala, A.S.2
  • 28
    • 33751564857 scopus 로고    scopus 로고
    • First order nonlinear implicit impulsive integrodifferential equations in Banach spaces
    • H. Y. Lan, N. J. Huang and J. K. Kim, "First order nonlinear implicit impulsive integrodifferential equations in Banach spaces", Dyn. Contin. Discrete Impuls. Syst. Ser. A 13 (2006), 803-813.
    • (2006) Dyn. Contin. Discrete Impuls. Syst. Ser. A , vol.13 , pp. 803-813
    • Lan, H.Y.1    Huang, N.J.2    Kim, J.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.