Contractive mappings and periodically perturbed conservative systems

Jean Mawhin

Archivum Mathematicum (1976)

  • Volume: 012, Issue: 2, page 67-73
  • ISSN: 0044-8753

How to cite

top

Mawhin, Jean. "Contractive mappings and periodically perturbed conservative systems." Archivum Mathematicum 012.2 (1976): 67-73. <http://eudml.org/doc/17913>.

@article{Mawhin1976,
author = {Mawhin, Jean},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {67-73},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Contractive mappings and periodically perturbed conservative systems},
url = {http://eudml.org/doc/17913},
volume = {012},
year = {1976},
}

TY - JOUR
AU - Mawhin, Jean
TI - Contractive mappings and periodically perturbed conservative systems
JO - Archivum Mathematicum
PY - 1976
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 012
IS - 2
SP - 67
EP - 73
LA - eng
UR - http://eudml.org/doc/17913
ER -

References

top
  1. Sh. Ahmad, An existence theorem for periodically perturbed conservative systems, Michigan Math. J. 20 (1973) 385-392. (1973) Zbl0294.34029MR0346246
  2. S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundam. Math. 3 (1922) 133-181. (1922) Zbl48.0201.01
  3. L. Cesari, Alternative methods in nonlinear analysis, Proc. Int. Conf. Differential Equations, Los Angeles, Sept. 74, Academic Press, 1975, 95-148. (1975) Zbl0316.47039MR0430884
  4. C. L. Dolph, Non-linear integral equations of the Hammerstein type, Trans. Amer. Math. Soc. 66 (1949) 289-307. (1949) Zbl0036.20202MR0032923
  5. H. Ehrmann, On implicit function theorems and the existence of solutions of non-linear equations, L'Enseignement Math. 9 (1963) 129-176. (1963) Zbl0127.08004MR0156175
  6. H. Ehrmann, H. E. Lahmann, Anwendungen des Schauderschen Fixpunktsatzes auf gewisse nichtlineare Integralgleichungen, L'Enseignement Math. 11 (1965) 267-280. (1965) Zbl0196.13002MR0202013
  7. M. Golomb, Zur Theorie der nichtlinearen Integralgleichungen, Integralgleichungssysteme und allgemeinen Funktionalgleichungen, Math. Z. 39 (1935) 45-75. (1935) Zbl60.0319.01MR1545488
  8. J. K. Hale, Applications of alternative problems, Brown Univ. Lecture Notes 71-1, Providence, RI, 1971. (1971) 
  9. A. Hammerstein, Nichtlineare Integralgleichungen nebst Anwendungen, Acta Math. 54 (1930) 117-176. (1930) Zbl56.0343.03MR1555304
  10. R. Kannan, Periodically perturbed conservative systems, J. Differential Equations, 16 (1974) 506-514. (1974) Zbl0349.34029MR0417493
  11. T. Kato, Perturbation theory for linear operators, Springer, Berlin, 1966. (1966) Zbl0148.12601
  12. I. Kolodner, Equations of Hammerstein type in Hilbert spaces, J. Math. Mech. 13 (1964) 701-750. (1964) Zbl0149.36401MR0171184
  13. A. C. Lazer, D. A. Sanchez, On periodically perturbed conservative systems, Michigan Math. J. 16 (1969) 193-200. (1969) Zbl0187.34501MR0245906
  14. A. C. Lazer, Application of a lemma on bilinear forms to a problem in nonlinear oscillations, Proc. Amer. Math. Soc. 33 (1972) 89-94. (1972) Zbl0257.34041MR0293179
  15. D. E. Leach, On Poincaré's perturbation theorem and a theorem of W. S. Loud, J. Differential Equations 7 (1970) 34-53. (1970) Zbl0186.15501MR0251308
  16. W. S. Loud, Periodic solutions of nonlinear differential equations of Duffing type, Proc. U.S.-Japan Semin. on Diff. and Funct. Equations, Benjamin, New York, 1967, 199-224. (1967) Zbl0162.12302MR0223656
  17. N. Rouche, J. Mawhin, Equations différentielles ordinaires, vol. 1, Masson, Paris, 1973. (1973) Zbl0289.34001MR0481182
  18. M. M. Vainberg, Variational method and method of monotone operators in the theory of nonlinear equations, Wiley, New York, 1973. (1973) Zbl0279.47022MR0467428

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.