Contractive mappings and periodically perturbed non-conservative systems

Rolf Reissig

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

  • Volume: 58, Issue: 5, page 696-702
  • ISSN: 0392-7881

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Reissig, Rolf. "Contractive mappings and periodically perturbed non-conservative systems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.5 (1975): 696-702. <http://eudml.org/doc/291316>.

@article{Reissig1975,
author = {Reissig, Rolf},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {5},
number = {5},
pages = {696-702},
publisher = {Accademia Nazionale dei Lincei},
title = {Contractive mappings and periodically perturbed non-conservative systems},
url = {http://eudml.org/doc/291316},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Reissig, Rolf
TI - Contractive mappings and periodically perturbed non-conservative systems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/5//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 5
SP - 696
EP - 702
LA - eng
UR - http://eudml.org/doc/291316
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. HEWITT, E. and STROMBERG, K. (1969) - Real and abstract analysis, Berlin. Zbl0225.26001MR367121
  3. KANNAN, R. (1974) - Periodically perturbed conservative systems, «J. Differential Equations», 16, 506-514. Zbl0349.34029MR417493DOI10.1016/0022-0396(74)90006-0
  4. LAZER, A. C. (1972) - Application of a lemma on bilinear forms to a problem in nonlinear oscillations, «Proc. Amer. Math. Soc.», 33, 89-94. Zbl0257.34041MR293179DOI10.2307/2038176
  5. LAZER, A. C. and SANCHEZ, D. A. (1969) - On periodically perturbed conservative systems, «Michigan Math. J.», 16, 193-200. Zbl0187.34501MR245906
  6. LEACH, D. E. (1970) - On Poincare's perturbation theorem and a theorem of W. S. Loud, «J. Differential Equations», 7, 34-53. Zbl0186.15501MR251308DOI10.1016/0022-0396(70)90122-1
  7. LOUD, W. S. (1967) - Periodic solutions of nonlinear differential equations of Duffing type, Proc. U. S., Japan Sem. on Diff. and Funct. Equations, New York, 199-224. Zbl0162.12302MR223656
  8. MAWHIN, J. (1974) - Contractive mappings and periodically perturbed conservative systems, Sém. de Math. Appl. et Méc. Mensuel, rapport 80, Louvain. Zbl0353.47034
  9. VAINBERG, M. M. (1964) - Variational methods for the study of nonlinear operators, San Francisco. Zbl0122.35501MR176364

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