Method of successive approximations for a certain nonlinear third order boundary value problem

Ján Rusnák

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1987)

  • Volume: 26, Issue: 1, page 161-168
  • ISSN: 0231-9721

How to cite

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Rusnák, Ján. "Method of successive approximations for a certain nonlinear third order boundary value problem." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 26.1 (1987): 161-168. <http://eudml.org/doc/23459>.

@article{Rusnák1987,
author = {Rusnák, Ján},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {lower solution; method of successive approximations; upper solutions; Green's functions},
language = {eng},
number = {1},
pages = {161-168},
publisher = {Palacký University Olomouc},
title = {Method of successive approximations for a certain nonlinear third order boundary value problem},
url = {http://eudml.org/doc/23459},
volume = {26},
year = {1987},
}

TY - JOUR
AU - Rusnák, Ján
TI - Method of successive approximations for a certain nonlinear third order boundary value problem
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1987
PB - Palacký University Olomouc
VL - 26
IS - 1
SP - 161
EP - 168
LA - eng
KW - lower solution; method of successive approximations; upper solutions; Green's functions
UR - http://eudml.org/doc/23459
ER -

References

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  1. Schmitt K., A nonlinear boundary value problem, J. Diff. Equat. 7, 1970, 527-5Ӡ7. (1970) Zbl0198.12301MR0254314
  2. Bellman R., Monotone operators and nonlinear equations, J. Math. Anal. Appl. 67, 1979, 158-162. (1979) Zbl0418.47027MR0524469
  3. Šeda V., Antitone operators and ordinary differential equations, Czech. Math. J. 31 (106), 1981, 531-553. (1981) MR0631601
  4. Greguš M., Über das Randwertproblem der n-ten Ordnung in m-Punkten, Acta F.R.N. Univ. Comen. IX. 2. - Mathematica 1964, 49-55. (1964) MR0168834
  5. Greguš M., Lineárna diferenciálna rovnica tretieho rádu, Veda, Vydavat. Slov. Akad. Vied, 1981. (1981) MR0657356
  6. Rusnák J., A three-point boundary value problem for third order differential equations, Math. Slovaca 33, І983, 307-320. Zbl0526.34012MR0713954
  7. Rusnák J., Existence theorems for a certain nonlinear boundary value problem of the third order, Math. Slovaca (to appear). Zbl0631.34022MR0916942

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