Abstract
For an odd function 1/2(x) defined only on a finite interval, this paper deals with the existence of periodic solutions and the number of simple periodic solutions of the differential delay equation (DDE)\(\dot x(t) = - f(x(t - 1))\). By use of the method of qualitative analysis combined with the constructing of special solutions a series of interesting results are obtained on these problems.
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Ge Weigao, Number of simple periodic solutions of differential delay equation\(\dot x(t) = - f(x(t - 1))\), submitted.
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Supported by the National Natural Science Foundation of China.
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Weigao, G. Periodic solutions of the differential delay equation\(\dot x(t) = - f(x(t - 1))\) . Acta Mathematica Sinica 12, 113–121 (1996). https://doi.org/10.1007/BF02108151
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DOI: https://doi.org/10.1007/BF02108151