Application of the contracting mapping principle to a system of Duffing type

Rolf Reissig

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 59, Issue: 1-2, page 51-56
  • ISSN: 0392-7881

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Reissig, Rolf. "Application of the contracting mapping principle to a system of Duffing type." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 59.1-2 (1975): 51-56. <http://eudml.org/doc/290949>.

@article{Reissig1975,
author = {Reissig, Rolf},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {7},
number = {1-2},
pages = {51-56},
publisher = {Accademia Nazionale dei Lincei},
title = {Application of the contracting mapping principle to a system of Duffing type},
url = {http://eudml.org/doc/290949},
volume = {59},
year = {1975},
}

TY - JOUR
AU - Reissig, Rolf
TI - Application of the contracting mapping principle to a system of Duffing type
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/7//
PB - Accademia Nazionale dei Lincei
VL - 59
IS - 1-2
SP - 51
EP - 56
LA - eng
UR - http://eudml.org/doc/290949
ER -

References

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  1. AHMAD, S. (1973) - An existence theorem for periodically perturbed conservative systems, «Michigan Math. J.», 20, 385-392. Zbl0294.34029MR346246
  2. BELLMAN, R. (1970) - Introduction to matrix analysis. 2nd edition. McGraw-Hill, New York. Zbl0216.06101MR258847
  3. DOBSCH, O. (1938) - Matrixfunktionen beschränkter Schwankung, «Math. Z.», 45, 353-388. Zbl0018.11801MR1545729DOI10.1007/BF01181100
  4. LAZER, A. C. (1972) - Application of a lemma on bilinear fors to a problem in nonlinear oscillations, «Proc. Amer. Math. Soc.», 33, 89-94. Zbl0257.34041MR293179DOI10.2307/2038176
  5. LÖWNER, K. (1934) - Über monotone Matrixfunktionen, «Math. Z.», 38, 177-216. Zbl0008.11301MR1545446DOI10.1007/BF01170633
  6. MAWHIN, J. (1974) - Contractive mappings and periodically perturbed conservative systems, «Sém. Math. Appl. Méc.», rapport 80, Louvain. 
  7. REISSIG, R. - Contractive mappings and periodically perturbed non-conservative systems, «Atti Acc. Naz. Lincei, Rend. Cl. Sci. fis. mat. nat.». Zbl0357.34034MR430423
  8. VAINBERG, M. M. (1964) - Variational methods for the study of nonlinear operators, Holden-Day, San Francisco. Zbl0122.35501MR176364

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