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In this paper, we investigate the existence of positive T -periodic solutions in a food web with one predator feeding on n preys by Leray–Schauder degree theory, which plays a significant role on further studying the uniqueness of limit cycles of this food web model. We start with a series of required spaces and operators and construct a bounded open set Ω over which the corresponding Leray–Schauder...
In this paper we prove that the eigenvalues of a vibrating beam have a strongly continuous dependence on the elastic destructive force, i.e., the eigenvalues, as nonlinear functionals of the elastic destructive force, are continuous in the elastic destructive force with respect to the weak topologies in the Lebesgue spaces L p . In virtue of the minimax characterization for eigenvalues, we...
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