Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications

Ján Rusnák

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 1, page 101-110
  • ISSN: 0232-0525

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Rusnák, Ján. "Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications." Mathematica Slovaca 40.1 (1990): 101-110. <http://eudml.org/doc/34298>.

@article{Rusnák1990,
author = {Rusnák, Ján},
journal = {Mathematica Slovaca},
keywords = {nonlinear boundary-value problem; lower and upper solutions},
language = {eng},
number = {1},
pages = {101-110},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications},
url = {http://eudml.org/doc/34298},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Rusnák, Ján
TI - Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 1
SP - 101
EP - 110
LA - eng
KW - nonlinear boundary-value problem; lower and upper solutions
UR - http://eudml.org/doc/34298
ER -

References

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  1. GREGUŠ M., Über das Randwertproblem der n-ten Ordnung in m-Punkten, Acta F. R. N. Univ. Comen. IX. 2. - Math. 1964, 49-55. (1964) Zbl0133.34401MR0168834
  2. GREGUŠ. M., Lineárna diferenciálna rovnica tretieho rádu, Veda, Vydavat. SAV, Bratislava, 1981, or Third Order Linear Differential Equations. D. Reidel Publishing Company. Dordrecht/Boston/Lancaster/Tokyo, 1987. (1981) Zbl0488.34001MR0882545
  3. SCHMITT K., A nonlinear boundary value problem, J. Diff. Equat. 7, 1970, 527-537. (1970) Zbl0198.12301MR0254314
  4. BERNFELD J. R., LAKSHMIKANTHAM V., An Introduction to Nonlinear Boundary Value Problems, Academic Press, Inc. New York and London, 1974. (1974) Zbl0286.34018MR0445048
  5. ŠEDA V., Two Remarks on Boundary Value Problems for Ordinary Differential Equations, J. Diff. Equat. 26, No. 2, 1977, 278-290 (1977) Zbl0419.34014MR0460771
  6. ŠEDA V., Antitone operators and ordinary differential equations, Czech. math. J. 31, 1981, 531-553. (1981) Zbl0491.34022MR0631601
  7. RUSNÁK J., A three-point boundary value problem for third order differential equations, Math. Slovaca 33, 1983, 307-320. (1983) Zbl0526.34012MR0713954
  8. RUSNÁK J., Existence theorems for a certain non-linear boundary value problem of the third order, Math. Slovaca, 37, 1987 351-356. (1987) MR0916942
  9. ORUSNÁK J., On certain non-linear boundary value problems of the third order, Práce a štúdie VŠDS, Žilina (to appear). 
  10. RUSNÁK J., Method of successive approximations for the second order nonlinear boundary value problem, Proc. 9-th Summer School Diff. Eq., Poprad 1986, 113-117 (Slovak). (1986) 
  11. RUSNÁK J., Method of successive approximations for a certain non-linear third order boundary value problem, Acta Univ. Palack. Olomucensis (to appear). Zbl0707.34019MR1033337

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