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Proceedings of the American Mathematical Society
Volumn 125, Issue 5, 1997, Pages 1371-1376
On carathéodory's conditions for the initial value problem
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EID: 21744449549     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03942-7     Document Type: Article
Times cited : (22)
References (16)
  • 1
    • 33646985899 scopus 로고
    • Uniqueness of the solution of an integral equation
    • N. Azbelev, Z. Calyuk, Uniqueness of the solution of an integral equation, Soviet Math. Dokl. 5 (1964) 611-614.
    • (1964) Soviet Math. Dokl. , vol.5 , pp. 611-614
    • Azbelev, N.1    Calyuk, Z.2
  • 2
    • 84968494081 scopus 로고
    • Continuous dependence of non-monotonic discontinuous differential equations
    • MR 93m:34011
    • D.C. Biles, Continuous dependence of non-monotonic discontinuous differential equations, Trans. Amer. Math. Soc. 339 (1993) 507-524. MR 93m:34011
    • (1993) Trans. Amer. Math. Soc. , vol.339 , pp. 507-524
    • Biles, D.C.1
  • 3
    • 84972538297 scopus 로고
    • Existence of solutions for discontinuous differential equations
    • MR 96d:34003
    • D.C. Biles, Existence of solutions for discontinuous differential equations, Diff. Int. Eqn. 8 (1995) 1525-1532. MR 96d:34003
    • (1995) Diff. Int. Eqn. , vol.8 , pp. 1525-1532
    • Biles, D.C.1
  • 4
    • 0000301751 scopus 로고
    • The differential equation
    • MR 81c:34002
    • P.A. Binding, The differential equation x = f o x, J. Diff. Eqn. 31 (1979) 183-199. MR 81c:34002
    • (1979) X = F O X, J. Diff. Eqn. , vol.31 , pp. 183-199
    • Binding, P.A.1
  • 5
    • 0043143983 scopus 로고
    • Directionally continuous selections and differential inclusions
    • MR 90d:34038
    • A. Bressan, Directionally continuous selections and differential inclusions, Func. Ekvac. 31 (1988) 459-470. MR 90d:34038
    • (1988) Func. Ekvac. , vol.31 , pp. 459-470
    • Bressan, A.1
  • 7
    • 0000274091 scopus 로고
    • Subfunctions and thé initial value problem for differential equations satisfying Carathéodory's hypotheses
    • MR 41:540
    • G.S. Goodman, Subfunctions and thé initial value problem for differential equations satisfying Carathéodory's hypotheses, J. Diff. Eqn. 7 (1970) 232-242. MR 41:540
    • (1970) J. Diff. Eqn. , vol.7 , pp. 232-242
    • Goodman, G.S.1
  • 8
    • 84972533626 scopus 로고
    • Applications of monotone techniques to differential equations with discontinuous right hand side
    • MR 89g:34002
    • S. Heikkilä, V. Lakshmikantham, S. Leela, Applications of monotone techniques to differential equations with discontinuous right hand side, Diff. Int. Eqn. 1 (1988) 287-297. MR 89g:34002
    • (1988) Diff. Int. Eqn. , vol.1 , pp. 287-297
    • Heikkilä, S.1    Lakshmikantham, V.2    Leela, S.3
  • 9
    • 1542574546 scopus 로고
    • A note on a functional equation
    • MR 30:4079
    • D. Hanson, P. Waltman, A note on a functional equation, J. Math. Anal. Appl. 10 (1965) 330-333. MR 30:4079
    • (1965) J. Math. Anal. Appl. , vol.10 , pp. 330-333
    • Hanson, D.1    Waltman, P.2
  • 10
    • 33646977122 scopus 로고
    • An intermediate value property for operators with applications to integral and differential equations
    • MR 49:3286
    • J.S. Muldowney, D. Willett, An intermediate value property for operators with applications to integral and differential equations, Canad. J. Math. 26 (1974) 27-41. MR 49:3286
    • (1974) Canad. J. Math. , vol.26 , pp. 27-41
    • Muldowney, J.S.1    Willett, D.2
  • 11
    • 33646975165 scopus 로고
    • Über das Verfahren der sukzessiven Approximationen zur Integration gewöhnlicher Differentialgleichungen
    • M. Nagumo, Über das Verfahren der sukzessiven Approximationen zur Integration gewöhnlicher Differentialgleichungen, Japan. J. Math. 7 (1930) 143-160.
    • (1930) Japan. J. Math. , vol.7 , pp. 143-160
    • Nagumo, M.1
  • 12
    • 33646970499 scopus 로고
    • Sull'integrabilitâ délie equazione differenziali di primo ordine
    • G. Peano, Sull'integrabilitâ délie equazione differenziali di primo ordine, Atti Acad. Torino 21 (1885/6) 677-685.
    • (1885) Atti Acad. Torino , vol.21 , pp. 6677-6685
    • Peano, G.1
  • 13
    • 0030584544 scopus 로고    scopus 로고
    • One-dimensional differential equation under weak assumptions
    • 1996, CMP 96:09
    • W. Rzymowski, D. Walachowski, One-dimensional differential equation under weak assumptions, J. Math. Anal. Appl., 198 (1996), no. 3, 657-670. CMP 96:09
    • J. Math. Anal. Appl. , vol.198 , Issue.3 , pp. 657-670
    • Rzymowski, W.1    Walachowski, D.2
  • 14
    • 84972541021 scopus 로고
    • A lattice-theoretical fixpoint theorem and its applications
    • MR 17:574d
    • A. Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955) 285-309. MR 17:574d
    • (1955) Pacific J. Math. , vol.5 , pp. 285-309
    • Tarski, A.1
  • 15
    • 0012130856 scopus 로고
    • Existence and uniqueness of solutions of ordinary differential equations
    • MR 39:7185
    • D.V.V. Wend, Existence and uniqueness of solutions of ordinary differential equations, Proc. Amer. Math. Soc. 23 (1969) 27-33. MR 39:7185
    • (1969) Proc. Amer. Math. Soc. , vol.23 , pp. 27-33
    • Wend, D.V.V.1
  • 16
    • 0010895115 scopus 로고
    • The ordinary differential equations with discontinuous right members and the discontinuous solutions of the quasilinear partial differential equations
    • Z. \Vu, The ordinary differential equations with discontinuous right members and the discontinuous solutions of the quasilinear partial differential equations, Sei. Sinica 13 (1964) 1901-1917.
    • (1964) Sei. Sinica , vol.13 , pp. 1901-1917
    • Vu, Z.1

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