Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations

Malkhaz Ashordia

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 3, page 385-404
  • ISSN: 0011-4642

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Ashordia, Malkhaz. "Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations." Czechoslovak Mathematical Journal 46.3 (1996): 385-404. <http://eudml.org/doc/30318>.

@article{Ashordia1996,
author = {Ashordia, Malkhaz},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized ordinary differential equations; boundary value problem; dependence on a parameter},
language = {eng},
number = {3},
pages = {385-404},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations},
url = {http://eudml.org/doc/30318},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Ashordia, Malkhaz
TI - Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 3
SP - 385
EP - 404
LA - eng
KW - generalized ordinary differential equations; boundary value problem; dependence on a parameter
UR - http://eudml.org/doc/30318
ER -

References

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  1. On the correctness of linear boundary value problems for systems of generalized ordinary differential equations, Proceedings of the Georgian Academy of Sciences. Mathematics 1 (1993), No. 4, 385–394. (1993) Zbl0797.34015MR1262572
  2. Kraevye zadachi dlya sistem obyknovennykh differencialnykh uravneni, Sovremennye probley matematiki, Noveshie dostizheniya (Itogi nauki i tekhniki. VINITI Akad. Nauk SSSR), Moskva 1987, t. 30, 3–103. 
  3. Ob ustochivosti mnozhestba resheni nelinenykh kraevyh zadach, Differencialnye uravneniya 20 (1984), No. 9, 1495–1501. (1984) MR0762517
  4. K voprosu o zavisimosti ot parametra resheni mnogotochechnykh nelilenykh kraevych zadach, Trudy In-ta prikl. mat. Tbiliss. un-ta 22 (1987), 42–55. (1987) 
  5. O principe usredneniya v nelineno mekhanike, Uspekhi mat. nauk 10 (1955), No. 3, 147–152. (1955) 
  6. 10.1007/BF03323220, Birkhäuser Verlag. Basel 14 (1988), 125–137. (1988) MR0956009DOI10.1007/BF03323220
  7. On the stability of solutions of linear boundary value problems for the system of ordinary differential equations, Proceedings of the Georgian Academy of Sciences. Mathematic 1 (1993), No. 2, 129–141. (1993) Zbl0786.34028MR1251497
  8. Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7(82) (1957), 418–449. (1957) Zbl0090.30002MR0111875
  9. Differential and Integral Equations, Boundary value Problems and Adjoints, Praha, 1979. MR0542283
  10. Existence and stability of measure differential equations, Czechoslovak Math. J. 22(97) (1972), 145–158. (1972) MR0304815
  11. O nepreryvno zavisimosti resheniya zadachi Koshi dlya sistemy obobshchennykh obyknovennykh differencialnykh uravneni ot parametra, Trudy In-ta. prikl. mat. Tbiliss. un-ta 31 (1988), 5–22. (1988) MR1001338

Citations in EuDML Documents

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  1. Alexander Domoshnitsky, Irina Volinsky, About differential inequalities for nonlocal boundary value problems with impulsive delay equations
  2. Malkhaz Ashordia, On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations
  3. Malkhaz Ashordia, On boundary value problems for systems of nonlinear generalized ordinary differential equations
  4. Malkhaz Ashordia, On the opial type criterion for the well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations

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