On the resonance problem for the 4 th order ordinary differential equations, Fučík’s spectrum

Petr Nečesal

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 5, page 531-542
  • ISSN: 0044-8753

How to cite

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Nečesal, Petr. "On the resonance problem for the $\text{4}^{\text{th}}$ order ordinary differential equations, Fučík’s spectrum." Archivum Mathematicum 036.5 (2000): 531-542. <http://eudml.org/doc/248555>.

@article{Nečesal2000,
author = {Nečesal, Petr},
journal = {Archivum Mathematicum},
keywords = {Fučík’s spectrum; Landesman-Lazer type condition},
language = {eng},
number = {5},
pages = {531-542},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the resonance problem for the $\text\{4\}^\{\text\{th\}\}$ order ordinary differential equations, Fučík’s spectrum},
url = {http://eudml.org/doc/248555},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Nečesal, Petr
TI - On the resonance problem for the $\text{4}^{\text{th}}$ order ordinary differential equations, Fučík’s spectrum
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 5
SP - 531
EP - 542
LA - eng
KW - Fučík’s spectrum; Landesman-Lazer type condition
UR - http://eudml.org/doc/248555
ER -

References

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  1. 1. Campos J., Dancer E. N., On the Resonance Set in a Fourth Order Equation with Jumping Nonlinearity, preprint. Zbl1022.35011MR1799894
  2. 2. Drábek P., Solvability and Bifurcations of Nonlinear Equations, Pitman Research Notes in Mathematics Series 264, Longman, Harlow 1992. (1992) MR1175397
  3. 3. Krejčí P., On Solvability of Equations of the 4th Order with Jumping Nonlinearities, Časopis pro pěstování matematiky, 29 – 39, roč. 108 , Prague 1983. (1983) MR0694138
  4. 4. Nečesal P., Nonlinear Differential Equations of the 4th Order – Solvability, Regularity of Solutions, Fučík's spectrum and Landesman-Lazer Type Conditions, Diploma thesis (in Czech), University of West Bohemia, Pilsen 2000. 
  5. 5. Tajčová G., Mathematical models of suspension bridges, Appl. Math. 42 (1997), No. 6, 451–480. (1997) MR1475052

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