On boundary value problems for systems of linear functional differential equations

Ivan Kiguradze; Bedřich Půža

Czechoslovak Mathematical Journal (1997)

  • Volume: 47, Issue: 2, page 341-373
  • ISSN: 0011-4642

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Kiguradze, Ivan, and Půža, Bedřich. "On boundary value problems for systems of linear functional differential equations." Czechoslovak Mathematical Journal 47.2 (1997): 341-373. <http://eudml.org/doc/30368>.

@article{Kiguradze1997,
author = {Kiguradze, Ivan, Půža, Bedřich},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear functional-differential system; boundary value problems; unique solvability; correctness; efficient conditions},
language = {eng},
number = {2},
pages = {341-373},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On boundary value problems for systems of linear functional differential equations},
url = {http://eudml.org/doc/30368},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Kiguradze, Ivan
AU - Půža, Bedřich
TI - On boundary value problems for systems of linear functional differential equations
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 2
SP - 341
EP - 373
LA - eng
KW - linear functional-differential system; boundary value problems; unique solvability; correctness; efficient conditions
UR - http://eudml.org/doc/30368
ER -

References

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  1. Introduction to the Theory of Functional Differential Equations, Nauka, Moscow, 1991. (Russian) (1991) MR1144998
  2. An Introduction to Nonlinear Boundary Value Problems, Academic Press, Inc., New York and London, 1974. (1974) MR0445048
  3. Theory of Ordinary Differential Equations, McGraw-Hill Book Company, Inc., New York Toronto London, 1955. (1955) MR0069338
  4. Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. Unione mat. ital. 22 (1967), 135–178. (1967) Zbl0154.09101MR0218650
  5. 10.1002/mana.1961.3210230304, Math. Nachr. 23 (1961), 161–178. (1961) Zbl0107.28803MR0138818DOI10.1002/mana.1961.3210230304
  6. On a boundary value problem for systems of functional differential equations, Arch. Math. (Brno) 20 (1964), 157–168. (Russian) (1964) MR0784867
  7. Theory of Functional Differential Equations, Springer-Verlag, New York Heidelberg Berlin, 1977. Zbl1092.34500MR0508721
  8. Inequalities, Cambridge Univ. Press, Cambridge, 1934. 
  9. Ordinary Differential Equations, John Wiley, New York, 1964. (1964) Zbl0125.32102MR0171038
  10. Functional Analysis in Semiordered Spaces, GITTL, Leningrad, 1950. (Russian) (1950) 
  11. Some Singular Boundary Value Problems for Ordinary Differential Equations, Tbilisi Univ. Press, Tbilisi, 1975. (Russian) (1975) MR0499402
  12. 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) (1978) MR0925829
  13. Some boundary value problems for systems of linear differential equations of hyperbolic type, Memoirs on Diff. Eq. and Math. Physics 1 (1994), 1–144. (1994) MR1296228
  14. Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7 (1957), 418–449. (1957) Zbl0090.30002MR0111875
  15. Continuous dependence of solutions of differential equations on a parameter, Czechoslovak Math. J. 7 (1957), 568–583. (Russian) (1957) MR0111874
  16. Elements of Functional Analysis, Nauka, Moscow, 1965. (1965) MR0209802
  17. 10.1016/0022-0396(67)90017-4, J. Diff. Eqs. 3 (1967), 571–579. (1967) Zbl0219.34004MR0216056DOI10.1016/0022-0396(67)90017-4
  18. 10.1016/0022-0396(67)90018-6, J. Diff. Eqs. 3 (1967), 580–594. (1967) Zbl0161.06102MR0216068DOI10.1016/0022-0396(67)90018-6
  19. Differential and Integral Equations: Boundary Value Problems and Adjoints, Academia, Praha, 1979. (1979) MR0542283
  20. 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) (1990) 
  21. Foundations of the Theory of Boundary Value Problems for Ordinary Differential Equations, Zinatne, Riga, 1978. (Russian) (1978) 
  22. 10.1016/0362-546X(81)90021-3, Nonlinear. Anal. Theory Meth. and Appl. 5 (1981), no. 4, 373–380. (1981) MR0611649DOI10.1016/0362-546X(81)90021-3
  23. Differential and Integral Inequalities, Springer-Verlag, Berlin Heidelberg New York, 1970. (1970) Zbl0252.35005MR0271508
  24. 10.1090/S0002-9904-1942-07760-3, Bull. Am. Math. Soc. 48 (1942), 691–704. (1942) Zbl0061.17904MR0007192DOI10.1090/S0002-9904-1942-07760-3

Citations in EuDML Documents

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  1. Ivan Kiguradze, Bedřich Půža, On a certain singular boundary value problem for linear differential equations with deviating arguments
  2. E. Bravyi, Robert Hakl, Alexander Lomtatidze, Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations
  3. Alexander Domoshnitsky, Positivity of Green's matrix of nonlocal boundary value problems
  4. Jiří Šremr, Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators
  5. Jan Kubalčík, On a two point linear boundary value problem for system of ODEs with deviating arguments
  6. Robert Hakl, Alexander Lomtatidze, Bedřich Půža, New optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations
  7. Robert Hakl, Alexander Lomtatidze, A note on the Cauchy problem for first order linear differential equations with a deviating argument
  8. E. Bravyi, Robert Hakl, Alexander Lomtatidze, On Cauchy problem for first order nonlinear functional differential equations of non-Volterra’s type
  9. Robert Hakl, Alexander Lomtatidze, Jiří Šremr, On an antiperiodic type boundary value problem for first order linear functional differential equations
  10. Robert Hakl, Alexander Lomtatidze, Jiří Šremr, Solvability of a periodic type boundary value problem for first order scalar functional differential equations

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