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In this paper, the concept of generalized ω-periodic solution is given for Riccati's equationy'=a(t)y~2 b(t)y c(t)with perriodic coefficients, the relation between generalized ω-periodicsolutions and the characteristic numbers of system x'_1=c(t)x_2, x'_2=-a(t)x_1-b(t)x_2 is indicated, andseveral necessary and sufficient conditions are given using the coefficients. Moreover, in the case of a(t)without zero, the relation between the number of continuous ω-periodic solutions of y'=a(t)y~2 b(t)y c(t) δand the parameter δ is given; thus the problem on the existence of continuous ω-periodic.solutions is basically solved. 相似文献
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