【摘要】 讨论了微分包含x(t)∈F(t,x(t))在凸和非凸两种情况下的周期解存在性定理,当F(t,x(t))满足单边Lipschitz条件,且非凸、下半连续和凸、上半连续时,使用Leray-Schauder替换定理,分别证明了凸和非凸两种情况下的存在性定理.更多还原

【Abstract】 The authors study the existence of periodic solution for differential inclusion x′(t)∈F(t,x(t)) under the hypothese both convex and nonconvex problem. Using Leray-Schauder alternative theorem,we obtain the existence theorem when F(t,x(t)) satisfy one-side Lipschitz condition under nonconvex lower-semicontinuous and convex upper-semicontinuous.更多还原