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On the existence of periodic solutions of z’(t)=-az(t-r+uk(t,z(t)))+F(t). (English) Zbl 0184.12101

Full Text: DOI
[1] Cooke, K.L, Functional differential systems: some models and perturbation problems, () · Zbl 0189.40301
[2] Hale, J.K, Periodic and almost periodic solutions of functional-difference equations, Arch. rat. mech. anal., 15, (1964) · Zbl 0129.06006
[3] Driver, R, Existence theory for a delay-differential system, Cont. diff. equs., 1, (1963) · Zbl 0126.10102
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[5] Hale, J.K, Linear functional differential equations with constant coefficients, Cont. diff. equs., 2, (1963) · Zbl 0143.30702
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[7] Jones, G.S, Asymptotic fixed point theorems and periodic systems of functional-differential equations, Cont. diff. equs., 2, (1963) · Zbl 0131.13602
[8] Hale, J.K, Geometric theory of functional differential equations, () · Zbl 0189.39904
[9] Hale, J.K; Perello, C, The neighborhood of a singular point of functional-differential equations, Cont. diff. equs., 3, (1964) · Zbl 0136.07901
[10] Jones, G.S, Periodic motions in Banach spaces and applications to functional-differential equations, Cont. diff. equs., 3, (1964) · Zbl 0135.37001
[11] Stokes, A, On the stability of a limit cycle of an autonomous functional-differential equation, Cont. diff. equs., 3, (1964) · Zbl 0135.30903
[12] {\scStephan, B. H.}, Asymptotic behavior of a functional differential equation with bounded lag. SIAM J. App. Math. To appear.
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