微分映射 [
wēi fēn yìng shè]
differential mapping
- 摘要利用压缩映射原理,讨论了中立型脉冲时滞微分方程正解的存在性。
The investigation of the existence of positive solutions of neutral delay differential equations with impulses is devoted by using the Banach cotraction principle. - 摘要利用控制收敛定理和压缩映射原理研究了一类具非线性中立项时滞微分方程有界正解的存在性,获得了其存在有界正解的充分条件。
Sufficient conditions are obtained for the existence of bounded positive solutions of the n-order delay differential equations with nonlinear neutral term, on the basis of Lebesgue's monotone convergence theorem and Banach contraction theorem. - 当右端集值映射为多面体,边界为次可微函数,且次微分为有限点集凸包时,基于非光滑分析理论,给出了在一点处检验生存性条件是否成立的方法。
Based on nonsmooth analysis theory, the viability criterion is verified under the condition that the set-valued mapping in the right hand side is a polytope and the boundary function of the region is subdifferentiable and its subdifferential is a convex hull of finitely many points.
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