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Reissig, R.

Periodic solutions of a nonlinear \(n\)-th order vector differential equation. (English) Zbl 0212.11601

Ann. Mat. Pura Appl., IV. Ser. 87(1970), 111-123 (1971).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 7 Documents

MSC:

34C25 Periodic solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] J. Mawhin,An extension of a theorem of A. C. Lazer on forced nonlinear oscillations, Rapport Nr.35 (1970) Sém. math. appl. méc. Univ. Cath. de Louvain. · Zbl 0213.10804
[2] R. Reissig,Anwendung von Fixpunktsätzen auf das Problem der periodischen Lösungen bei nicht-autonomen Systemen. Deutsche Luft-und Raumfahrt, Forschungsbericht 69-53, Oktober 1969.
[3] Reissig, R., On the existence of periodic solutions of a certain non-autonomous differential equation, Ann. Mat. Pura Appl. (IV), 85, 235-240 (1970) · Zbl 0195.38203
[4] Schaefer, H., Über die Methode der a priori-Schranken, Math. Annalen, 129, 415-416 (1955) · Zbl 0064.35703 · doi:10.1007/BF01362380
[5] Sedziwy, S., Asymptotic properties of solutions of a certain n-th order vector differential equation, Acc. Naz. Lincei, Rend. Cl. Sci. fis. mat. nat. (VIII), 47, 472-475 (1969) · Zbl 0217.12003
[6] Reissig, R.; Sansone, G.; Conti, R., Qualitative Theorie nichtlinearer Differentialgleichungen (1963), Roma: Edizioni Cremonese, Roma · Zbl 0114.04302
[7] Reissig, R.; Sansone, G.; Conti, R., Nichtlineare Differentialgleichungen höherer Ordnung (1969), Roma: Edizioni Cremonese, Roma · Zbl 0172.10801
[8] Sansone, G.; Conti, R.; Diamond, A. H., Non-linear Differential Equations (1964), Oxford: Pergamon Press, Oxford · Zbl 0128.08403
[9] T. Yoshizawa,Stability Theory by Liapunov’s Second Method. The Mathematical Society of Japan 1966. · Zbl 0144.10802
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