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Periodic solutions of some vector retarded functional differential equations. (English) Zbl 0275.34070

MSC:
34C25Periodic solutions of ODE
34K99Functional-differential equations
34G99ODE in abstract spaces
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References:
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[2] Fennell, R. E.: Periodic solutions of functional differential equations. J. math. Anal. appl. 39, 198-201 (1972) · Zbl 0243.34126
[3] Granas, A.: The theory of compact vector fields and some of its applications to topology of functional spaces (I). Rozprawy matematyczne 30, 1-93 (1962)
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[5] Hale, J. K.: Functional differential equations. (1971) · Zbl 0222.34003
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[11] Reissig, R.: On the existence of periodic solutions for a certain nonautonomous differential equation. Ann. mat. Pura appl. 85, 235-240 (1970) · Zbl 0195.38203
[12] Reissig, R.: Note on a certain non-autonomous differential equation. Atti accad. Naz. lincei, rend. Cl. sci. Fis. mat. Natur. 48, 484-486 (1970) · Zbl 0209.11704
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[14] Reissig, R.; Sansone, G.; Conti, R.: Nichtlineare differentialgleichungen höherer ordnung. (1969) · Zbl 0172.10801
[15] Roseau, M.: Solutions périodiques ou presque périodiques des systèmes différentiels de la mécanique non linéaire. International centre for mechanical sciences, courses and lectures no. 44 (1970)
[16] Sedsiwy, S.: On periodic solutions of a certain third-order non-linear differential equation. Ann. polon. Math. 17, 147-154 (1965)
[17] Sedsiwy, S.: Asymptotic properties of solutions of nonlinear differential equations of the higher order. Zeszyty nauk. Uniw. jagiell. No. 131, 69-80 (1966)
[18] Sedsiwy, S.: Asymptotic properties of solutions of a certain n-th order vector differential equation. Atti accad. Naz. lincei, rend. Cl. sci. Fis. mat. Natur. 47, 472-475 (1969) · Zbl 0217.12003
[19] Villari, G.: Soluzioni periodiche di una classe di equasioni differenziali del terz’ordine quasi lineari. Ann. mat. Pura appl. 73, 103-110 (1966) · Zbl 0144.11401