| Title:
|
On boundary value problems for systems of linear functional differential equations (English) |
| Author:
|
Kiguradze, Ivan |
| Author:
|
Půža, Bedřich |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
341-373 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K10 |
| idZBL:
|
Zbl 0930.34047 |
| idMR:
|
MR1452425 |
| . |
| Date available:
|
2009-09-24T10:05:52Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127361 |
| . |
| Reference:
|
[1] N.V. Azbelev, V.P. Maksimov and L.F. Rakhmatullina: Introduction to the Theory of Functional Differential Equations.Nauka, Moscow, 1991. (Russian) MR 1144998 |
| Reference:
|
[2] S.R. Bernfeld and V. Lakshmikantham: An Introduction to Nonlinear Boundary Value Problems.Academic Press, Inc., New York and London, 1974. MR 0445048 |
| Reference:
|
[3] E.A. Coddington and N. Levinson: Theory of Ordinary Differential Equations.McGraw-Hill Book Company, Inc., New York Toronto London, 1955. MR 0069338 |
| Reference:
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[4] R. Conti: Recent trends in the theory of boundary value problems for ordinary differential equations.Boll. Unione mat. ital. 22 (1967), 135–178. Zbl 0154.09101, MR 0218650 |
| Reference:
|
[5] R. Conti: Problémes lineaires pour les equations differentielles ordinaires.Math. Nachr. 23 (1961), 161–178. Zbl 0107.28803, MR 0138818, 10.1002/mana.1961.3210230304 |
| Reference:
|
[6] S.M. Gelashvili: On a boundary value problem for systems of functional differential equations.Arch. Math. (Brno) 20 (1964), 157–168. (Russian) MR 0784867 |
| Reference:
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[7] J. Hale: Theory of Functional Differential Equations.Springer-Verlag, New York Heidelberg Berlin, 1977. Zbl 1092.34500, MR 0508721 |
| Reference:
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[8] G.H. Hardy, J.E. Littlewood and G. Pólya: Inequalities.Cambridge Univ. Press, Cambridge, 1934. |
| Reference:
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[9] P. Hartman: Ordinary Differential Equations.John Wiley, New York, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
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[10] L.V. Kantorovič, B.Z. Vulich and A.G. Pinsker: Functional Analysis in Semiordered Spaces.GITTL, Leningrad, 1950. (Russian) |
| Reference:
|
[11] I. Kiguradze: Some Singular Boundary Value Problems for Ordinary Differential Equations.Tbilisi Univ. Press, Tbilisi, 1975. (Russian) MR 0499402 |
| Reference:
|
[12] I. Kiguradze: Boundary value problems for systems of ordinary differential equations.Current problems in mathematics. Newest results, Vol. 30, 3–103, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vses. Inst. Nauchn. i Tekh. Inform., Moscow (1978). (Russian) MR 0925829 |
| Reference:
|
[13] T. Kiguradze: Some boundary value problems for systems of linear differential equations of hyperbolic type.Memoirs on Diff. Eq. and Math. Physics 1 (1994), 1–144. MR 1296228 |
| Reference:
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[14] J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter.Czechoslovak Math. J. 7 (1957), 418–449. Zbl 0090.30002, MR 0111875 |
| Reference:
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[15] J. Kurzweil and Z. Vorel: Continuous dependence of solutions of differential equations on a parameter.Czechoslovak Math. J. 7 (1957), 568–583. (Russian) MR 0111874 |
| Reference:
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[16] L.A. Ljusternik and V.I. Sobolev: Elements of Functional Analysis.Nauka, Moscow, 1965. MR 0209802 |
| Reference:
|
[17] Z. Opial: Continuous parameter dependence in linear systems of differential equations.J. Diff. Eqs. 3 (1967), 571–579. Zbl 0219.34004, MR 0216056, 10.1016/0022-0396(67)90017-4 |
| Reference:
|
[18] Z. Opial: Linear problems for systems of nonlinear differential equations.J. Diff. Eqs. 3 (1967), 580–594. Zbl 0161.06102, MR 0216068, 10.1016/0022-0396(67)90018-6 |
| Reference:
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[19] Š. Schwabik, M. Tvrdý and O. Vejvoda: Differential and Integral Equations: Boundary Value Problems and Adjoints.Academia, Praha, 1979. MR 0542283 |
| Reference:
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[20] R.A. Tsitskishvili: Unique solvability and correctness of a linear boundary value problem for functional-differential equations.Rep. Enlarged Sessions Sem. I.N. Vekua Inst. Appl. Math. 5 (1990), no. 3, 195–198. (Russian) |
| Reference:
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[21] N.I. Vasiljev and J.A. Klokov: Foundations of the Theory of Boundary Value Problems for Ordinary Differential Equations.Zinatne, Riga, 1978. (Russian) |
| Reference:
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[22] Z. Vorel: Continuous dependence of parameters.Nonlinear. Anal. Theory Meth. and Appl. 5 (1981), no. 4, 373–380. MR 0611649, 10.1016/0362-546X(81)90021-3 |
| Reference:
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[23] W. Walter: Differential and Integral Inequalities.Springer-Verlag, Berlin Heidelberg New York, 1970. Zbl 0252.35005, MR 0271508 |
| Reference:
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[24] W.M. Whyburn: Differential equations with general boundary conditions.Bull. Am. Math. Soc. 48 (1942), 691–704. Zbl 0061.17904, MR 0007192, 10.1090/S0002-9904-1942-07760-3 |
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