Floquet solutions of non-linear ordinary differential equations
1987 ◽
Vol 106
(3-4)
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pp. 267-275
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Keyword(s):
SynopsisIn this paper we study the solutions of the boundary value problemwhere t ∊ℝ, x ∊ ℝN, f is a continuous function of (t,x)and locally Lipschitz in x and ω is a fixed positive number and λ ∊ ℝ. By using degree theory we prove results on the existence of solutions of (*) and the dependence of such solutions on λ. We shall prove that (*) does not have an isolated solution, and study the topological properties of the components of solutions of (*).
1985 ◽
Vol 37
(2)
◽
pp. 310-323
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1983 ◽
Vol 94
(3-4)
◽
pp. 331-338
1991 ◽
Vol 14
(3)
◽
pp. 509-516
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1981 ◽
Vol 90
(1-2)
◽
pp. 25-40
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2014 ◽
Vol 2014
◽
pp. 1-11
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