Periodic Solutions of Certain n-th Order Nonlinear Differential Equations

S. H. Chang

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 57, Issue: 6, page 519-524
  • ISSN: 0392-7881

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Chang, S. H.. "Periodic Solutions of Certain n-th Order Nonlinear Differential Equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 57.6 (1974): 519-524. <http://eudml.org/doc/293534>.

@article{Chang1974,
author = {Chang, S. H.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {519-524},
publisher = {Accademia Nazionale dei Lincei},
title = {Periodic Solutions of Certain n-th Order Nonlinear Differential Equations},
url = {http://eudml.org/doc/293534},
volume = {57},
year = {1974},
}

TY - JOUR
AU - Chang, S. H.
TI - Periodic Solutions of Certain n-th Order Nonlinear Differential Equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/12//
PB - Accademia Nazionale dei Lincei
VL - 57
IS - 6
SP - 519
EP - 524
LA - eng
UR - http://eudml.org/doc/293534
ER -

References

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  1. CHANG, S. H. (1975) - Periodic solutions of certain second order nonlinear differential equations, «J. Math. Anal. Appl.», 49, 263-266. Zbl0294.34032MR369821DOI10.1016/0022-247X(75)90177-8
  2. CRONIN, J. (1964) - Fixed points and topological degree in nonlinear analysis, Mathematical Surveys, No. 11, American Mathematical Society, Providence, RI. Zbl0117.34803MR164101
  3. HARVEY, C. A. (1963) - Periodic solutions of the differential equantion x ¨ + g ( x ) = p ( t ) , «Contris. Diff. Eqs.», 1, 425-451. MR149011
  4. LAZER, A. C. (1968) - On Schauder's fixed point theorem and forced second-order nonlinear oscillations, «J. Math. Anal. Appl.», 21, 421-425. Zbl0155.14001MR221026DOI10.1016/0022-247X(68)90225-4
  5. LEACH, D. E. (1970) - On Poincare's perturbation theorem and a theorem of W. S. Loud, «J. Diff. Eqs.», 7, 34-53. Zbl0186.15501MR251308DOI10.1016/0022-0396(70)90122-1
  6. LOUD, W. S. (1967) - Periodic solutions of nonlinear differential equations of Duffing type, «Differential and functional equations», Proceedings of U. S.-Japan seminar, edited by W. A. Harris, Jr. and Y. Sibuya, pp. 199-224, Benjamin, New York. MR223656
  7. MAWHIN, J. (1974) - Periodic solutions of some vector retarded functional differential equations, «J. Math. Anal. Appl.», 45, 588-603. Zbl0275.34070MR333400DOI10.1016/0022-247X(74)90053-5
  8. OPIAL, Z. (1960) - Sur les solutions périodiques de l'équation différentielle x ¨ + g ( x ) = p ( t ) , «Bull. Acad. Polon. Sci., Sér. Sci. Math. Astron. Phys.», 8, 151-156. Zbl0134.07202MR139802
  9. SCHAUDER, J. (1930) - Der Fixpunktsatz in Funktionalräumen, «Studia Math.», 2, 171-180. 
  10. SEIFERT, G. (1959) - A note on periodic solutions of second order differential equations without damping, «Proc. Amer. Math. Soc.», 10, 396-398. Zbl0091.26601MR107057DOI10.2307/2032855

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