On the relationship between the initial and the multipoint boundary value problems for n -th-order linear differential equations of neutral type

Viktor Pirč

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1998)

  • Volume: 37, Issue: 1, page 99-106
  • ISSN: 0231-9721

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Pirč, Viktor. "On the relationship between the initial and the multipoint boundary value problems for $n$-th-order linear differential equations of neutral type." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 37.1 (1998): 99-106. <http://eudml.org/doc/23666>.

@article{Pirč1998,
author = {Pirč, Viktor},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {initial value problems; Haščák’s boundary value problems; linear differential equations of neutral type},
language = {eng},
number = {1},
pages = {99-106},
publisher = {Palacký University Olomouc},
title = {On the relationship between the initial and the multipoint boundary value problems for $n$-th-order linear differential equations of neutral type},
url = {http://eudml.org/doc/23666},
volume = {37},
year = {1998},
}

TY - JOUR
AU - Pirč, Viktor
TI - On the relationship between the initial and the multipoint boundary value problems for $n$-th-order linear differential equations of neutral type
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1998
PB - Palacký University Olomouc
VL - 37
IS - 1
SP - 99
EP - 106
LA - eng
KW - initial value problems; Haščák’s boundary value problems; linear differential equations of neutral type
UR - http://eudml.org/doc/23666
ER -

References

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  1. Gel’fond A. O., Calculus of Finite Differences, Moscow 1952 (in Russian). Delhi 1971 (in English). (1952) MR0053352
  2. Haščák A., Disconjugacy and Multipoint Boundary Value Problems for Linear Differential Equations with Delay, Czech. Math. J. 39, 14 (1989), 70-77. (1989) Zbl0689.34058MR0983484
  3. Haščák A., Tests for Disconjugacy and Strict Disconjugacy of Linear Differential Equations with Delays, Czech. Math. J. 114, 39 (1989), 225-231. (1989) Zbl0703.34072MR0992129
  4. Haščák A., On the Relationship between the Initial and Multipoint Boundary Value Problems for n-th Order Linear Differential Equations with Delay, Arch. Math. (Brno) 26, 4 (1990), 207-214. (1990) Zbl0731.34077MR1188972
  5. Haščák A., Disconjugacy and Multipoint Boundary Value Problems for Linear Differential Equations of Neutral Type, Journal of Mathematical Analysis and Applications 199 (1996), 323-333. (199) Zbl0853.34061MR1383224
  6. Haščák A., Test for Disconjugacy of a Differential Inclusion of Neutral Type, Georgian Math. J. 4, 2 (1997), 101-108. (1997) Zbl0870.34020MR1439588
  7. Lasota A., A Note on the Relationship between the Initial and the Boundary Value Problems for Ordinary Differential Equations of the n-th Order, Zeszity naukowe Universsitetu Jagielonskiego 22 (1959), Poland, 59-65 (in Polish). (1959) MR0142817
  8. Norkin S. B., Differential Equations of Second Order with Deviating Arguments, Nauka, Moscow, 1965. (1965) MR0199512
  9. Staněk S., On some Boundary Value Problems for Second Order Functional Differential Equations, Nonlinear Analysis, Theory, Methods and Applications 28, 3 (1997), 539-546. (1997) Zbl0873.34053MR1420798
  10. Staněk S., On a Class of Functional Boundary Value Problems for Second-order Functional Differential Equations with Parameter, Czech. Math. J. 43, 118 (1993), 339-348. (1993) Zbl0788.34069MR1211756
  11. Rachůnková I., Staněk S., Topological Degree Method in Functional Boundary Value Problems, Nonlin. Anal. 27 (1996), 271-285. (1996) Zbl0853.34062MR1391437
  12. Rachůnková I., Staněk S., Topological Degree Method in Functional Boundary Value Problems at Resonance, Nonlin. Anal. 28 (1997), 539-546. (1997) Zbl0853.34062MR1391437

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