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Cím:Existence of periodic solutions of functional-differential equations.
Szerző:Hatvani, L.
Forrás:Development and application of the method of Lyapunov functions, Collect. Sci. Works, Novosibirsk, 260-267 (1992).
Nyelv:Russian
Absztrakt:[For the entire collection see Zbl 0747.00019.]\par The author reviews the results on the existence problem of periodic solutions of functional-differential equations in the quasilinear and strongly nonlinear cases. As a result the author obtains the theorems which are a generalization, correction and union of the known achievement. In the strongly nonlinear case the Lyapunov's method is used for finding a priori bounds for periodic solutions of the equations family. As a result of this the author formulates a statement on the bound of periodic solutions. This colateral (for the aim of the paper) result is useful also in other situations. Finally, the review character of the paper allows to substantiate the chosen approach to the problem.} \RV{A.Burmistrova (Chelyabinsk) 
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