1) global inverse function theorem 整体反函数理论1. The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems. 本文利用整体反函数理论,研究了半线性二阶微分方程周期边值问题,给出了周期解存在唯一性的充分条件。
In this note we show that the conditions are robust enough for the conclusion to hold even if we relax the conditions by removing the assumption at a finite number of points. As a consequence, we get a global inverse function theorem for homogeneous functions....
K.J. Brown, Nonlinear Boundary Value Problems and a Global Inverse Function Theorem, Annali di Matematica Pura ed Applicata 106 (1975), 205-217.Brown, K. J. (1975) Nonlinear boundary value problems and a global inverse function theorem. Ann. Mat. Pura Appl. 106: pp. 205-217...
6) the theorem on the existence of derivative of monotone function 单调函数导数存在定理 补充资料:函数逼近,正定理和逆定理 函数逼近,正定理和逆定理 approximation of functions, direct and inverse theorems 函数逼近,正定理和逆定理〔叩p川心m丽皿of加n比拙,山比Ct and inve瑰the.陀ms;.聊痴叫的日.此...
关键词: boundary value problems Brouwer fixed point theorem global inverse function theorem Sturm-Liouville DOI: 10.1080/10236198.2010.505237 被引量: 17 年份: 2012 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 全文购买 Taylor & Francis 国家科技图书文献中心 (权威机构) 掌桥科研 Semantic ...
We now use theorem 1.1 to prove the following global homeomorphism theorem of Hadamard: Theorem 1.2 LetΧ, Y be finite dimensional Euclidean spaces, F:X → Y be a C1 mapping satisfying: Then F is a diffeomorphism of X onto Y. Proof By (1) and the inverse function theorem, F is an ...
3.1 and 3.2, to make our statement in Theorem 1.1 more precise—see Sect. 3.3. 3.1 Localizations Let \(\psi \in C^\infty ({\mathbb {R}},[0,1])\) be a radial, non-increasing bump function supported in \([-\frac{8}{5},\frac{8}{5}]\) with \(\psi |_{[-\frac{4}{5}...
Let us mention that Theorem 1.2 and Corollary 1.1 exhibit the optimal decay rate in the Besov space with , that is, , which implies that the minimal decay regularity coincides with the critical regularity for global solutions, and the extra higher regularity is not necessary. In addition, it ...
6) global inverse function theorem 整体反函数理论 1. The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems. 本文利用整体反函数理论,研究了半线性二阶微分方程周期边值问题,给出了周期解存在唯一性的充分条件。补充...
by using the binomial theorem in the standard calculus and the inverse function theorem for analytic mappings (e.g., dieudonné 1960 ). fig. 1 schematic illustrations of homogeneous compactifications of \(\mathbb {r}^2\) a directional compactification with type \(\alpha = (1,1)\) . the ...