메뉴 건너뛰기




Volumn 13, Issue 1, 2006, Pages 27-36

Existence of solutions for a class of implicit differential equations in Banach spaces

Author keywords

Cone; Directional Lipschitzian condition; Existence of solution; Implicit differential equation; Krasnoselskii's fixed point theorem

Indexed keywords


EID: 33845715905     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 33751570939 scopus 로고
    • An existence theorem for implicit differential equations in a Banach space
    • T. D. Benavides, An existence theorem for implicit differential equations in a Banach space, Ann. Math. Pure. Appl., 118(4), (1978) 119-130.
    • (1978) Ann. Math. Pure. Appl. , vol.118 , Issue.4 , pp. 119-130
    • Benavides, T.D.1
  • 2
    • 13744253851 scopus 로고
    • Differential equations without continuous condition in Banach spaces
    • Y. Q. Chen, Differential equations without continuous condition in Banach spaces, J. Sichuan Univ., 29(4), (1992) 446-450.
    • (1992) J. Sichuan Univ. , vol.29 , Issue.4 , pp. 446-450
    • Chen, Y.Q.1
  • 3
    • 0002077362 scopus 로고    scopus 로고
    • On discontinuous first order implicit boundary value problem
    • S. Cal and S. Heikkilá, On discontinuous first order implicit boundary value problem, J. Differential Equations, 148, (1998) 100-121.
    • (1998) J. Differential Equations , vol.148 , pp. 100-121
    • Cal, S.1    Heikkilá, S.2
  • 4
    • 0003228182 scopus 로고
    • Ordinary differential equations in banach spaces
    • Springer-Verlag, Berlin
    • K. Deimling, Ordinary Differential Equations in Banach Spaces, Lecture Notes in Mathematics 596, Springer-Verlag, Berlin, 1977.
    • (1977) Lecture Notes in Mathematics , vol.596
    • Deimling, K.1
  • 6
    • 0001652413 scopus 로고
    • Boundary value problems for systems of implicit differential equations
    • M. Frigon and T. Kaczynski, Boundary value problems for systems of implicit differential equations, J. Math. Anal. Appl., 179, (1993) 317-326.
    • (1993) J. Math. Anal. Appl. , vol.179 , pp. 317-326
    • Frigon, M.1    Kaczynski, T.2
  • 9
    • 38149147371 scopus 로고
    • Continuous dependence for an implicit nonlinear equations
    • V. M. Hokkanen, Continuous dependence for an implicit nonlinear equations, J. Differential Equations, 110, (1991) 67-85.
    • (1991) J. Differential Equations , vol.110 , pp. 67-85
    • Hokkanen, V.M.1
  • 10
    • 0000136268 scopus 로고    scopus 로고
    • Uniquenss and comparison result for implicit differential equations
    • S. Heikkilä, V. Lakshmikantham and S. Seikkala, Uniquenss and comparison result for implicit differential equations, Dynam. Systems Appl., 7, (1998) 237-244.
    • (1998) Dynam. Systems Appl. , vol.7 , pp. 237-244
    • Heikkilä, S.1    Lakshmikantham, V.2    Seikkala, S.3
  • 11
    • 33845697426 scopus 로고
    • Some problems of nonlinear analysis
    • M. A. Krasnoselskii, Some problems of nonlinear analysis, Uspehi Mat. Nauk, 9(3), (1954) 57-114.
    • (1954) Uspehi Mat. Nauk , vol.9 , Issue.3 , pp. 57-114
    • Krasnoselskii, M.A.1
  • 13
    • 0035877559 scopus 로고    scopus 로고
    • Peano's theorem for implicit differential equations
    • D. S. Li, Peano's theorem for implicit differential equations, J. Math. Anal. Appl., 258, (2001) 591-616.
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 591-616
    • Li, D.S.1
  • 14
    • 0030584544 scopus 로고    scopus 로고
    • One-dimensional differential equations under weak assumptions
    • W. Rzymowski and D. Walachowski, One-dimensional differential equations under weak assumptions, J. Math. Anal. Appl., 198, (1996) 657-670.
    • (1996) J. Math. Anal. Appl. , vol.198 , pp. 657-670
    • Rzymowski, W.1    Walachowski, D.2
  • 15
    • 33845685582 scopus 로고
    • On the initial value problem to a class of implicit differential equations
    • K. Wang and W. Y. Cui, On the initial value problem to a class of implicit differential equations, J. Northeast Normal Univ., 27(2), (1995) 8-10.
    • (1995) J. Northeast Normal Univ. , vol.27 , Issue.2 , pp. 8-10
    • Wang, K.1    Cui, W.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.