Landesman-Lazer type problems at an eigenvalue of odd multiplicity

Ľudovít Pinda

Archivum Mathematicum (1994)

  • Volume: 030, Issue: 2, page 73-84
  • ISSN: 0044-8753

Abstract

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The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear differential equation of the fourth order

How to cite

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Pinda, Ľudovít. "Landesman-Lazer type problems at an eigenvalue of odd multiplicity." Archivum Mathematicum 030.2 (1994): 73-84. <http://eudml.org/doc/247545>.

@article{Pinda1994,
abstract = {The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear differential equation of the fourth order},
author = {Pinda, Ľudovít},
journal = {Archivum Mathematicum},
keywords = {completely continuous mapping; linear projection; Fredholm operator of index zero; Cauchy function; Hilbert-Schmidt operator; algebraic multiplicity; Fredholm operator of index 0; periodic solution},
language = {eng},
number = {2},
pages = {73-84},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Landesman-Lazer type problems at an eigenvalue of odd multiplicity},
url = {http://eudml.org/doc/247545},
volume = {030},
year = {1994},
}

TY - JOUR
AU - Pinda, Ľudovít
TI - Landesman-Lazer type problems at an eigenvalue of odd multiplicity
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 2
SP - 73
EP - 84
AB - The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear differential equation of the fourth order
LA - eng
KW - completely continuous mapping; linear projection; Fredholm operator of index zero; Cauchy function; Hilbert-Schmidt operator; algebraic multiplicity; Fredholm operator of index 0; periodic solution
UR - http://eudml.org/doc/247545
ER -

References

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  1. Obyčajné diferenciálne rovnice, Alfa, 1985. (1985) 
  2. Applications of Functional Analysis and Operator Theory, Academie Press, London, New York, Toronto, Sydney, San Francisco, 1980. (1980) MR0569354
  3. Lamdesman–Lazer type problems a an eigenvalue of odd multiplicity, Results in Mathematics 14 (1988), 138-146. (1988) MR0956010
  4. On a fourth order periodic boundary value problem, Arch. Math. (Brno) 30 (1994), no. 1, 1-8. (1994) Zbl0808.34020MR1282107
  5. Some remarks to coincidence theory, Czechoslovak Matematical Journal 38 (1988), no. 113, 554-572. (1988) MR0950308

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