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- W46527595 abstract "An existence theorem is proven to investigate sufficient conditions of a nontrivial solution, for a general nonlinear fourth order ordinary differential equation provided that and are bounded, and satisfy certain sufficient conditions. Then, there exists a bounded space for state variables, in which the equation has an answer. For this purpose we use the existence of the Green's function and Schauder's fixed point theorem. The condition is applied to a nonlinear two degrees of freedom vibrating system, and Bouasse-Sarda regulator mechanical system." @default.
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- W46527595 date "2006-01-01" @default.
- W46527595 modified "2023-09-28" @default.
- W46527595 title "Periodicity condition of fourth order ordinary differential equations with application in dynamical systems" @default.
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