A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity

Ľudovít Pinda

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 2, page 149-170
  • ISSN: 0139-9918

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Pinda, Ľudovít. "A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity." Mathematica Slovaca 43.2 (1993): 149-170. <http://eudml.org/doc/34357>.

@article{Pinda1993,
author = {Pinda, Ľudovít},
journal = {Mathematica Slovaca},
keywords = {small solution; nonlinear boundary value problem},
language = {eng},
number = {2},
pages = {149-170},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity},
url = {http://eudml.org/doc/34357},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Pinda, Ľudovít
TI - A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 2
SP - 149
EP - 170
LA - eng
KW - small solution; nonlinear boundary value problem
UR - http://eudml.org/doc/34357
ER -

References

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  1. DEIMLING K., Nichtlineare Gleichungen and Abbildungsgrade, Springer-Verlag, Berlin-Heidelberg-New York, 1974. (1974) MR0500322
  2. DING S. H., MAWHIN J., A multiplicity result for periodic solutions of higher order ordinary differential equations, Differential Integral Equations 1 (1988), 31-39. (1988) Zbl0715.34086MR0920487
  3. GREGUŠ M., ŠVEC M., ŠEDA V., Ordinary Differential Equations, (Slovak), Alfa, Bratislava, 1985. (1985) 
  4. LALOLIX B., MAWHIN J., Coincidence index and multiplicity, Trans. Amer. Math. Soc. 217 (1976), 143-162. (1976) MR0423138
  5. LEFTON L., Existence of small solutions to a resonant boundary value problem with large nonlineanty, J. Differential Equations 85 (1990), 171-185. (1990) MR1052333
  6. REKTORYS K. ETAL., Survey of Applied Mathematics, (Czech), SNTL - Nakladatelství technické literatury, Praha, 1963. (1963) MR0158576
  7. SCHIJUR J. D., Perturbation at resonance for a fourth order ordinary differential equation, J. Math. Anal. Appl. 65 (1978), 20-25. (1978) MR0487639
  8. ŠEDA V., Some remarks to coincidence theory, Czechoslovak Math. J. 38 (113) (1988), 554-572. (1988) Zbl0721.47048MR0950308

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