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....
global inverse function theoremSturm-LiouvilleThis paper is devoted to the study of nonlinear difference equations subject to global nonlinear boundary conditions. We provide sufficient conditions for the existence of solutions based on properties of the nonlinearities and the eigenvalues of an associated ...
存在性唯一性In this paper, a semilinear elliptic-parabolic PDE system which arises in a two dimensional groundwater flow problem is studied. Existence and uniqueness results are established via the L^p - L^q a priori estimates and the inverse function theorem.高校应用数学学报:英文版LISHUANHU...
apart from smallness, localization and axisymmetry assumptions, no restrictions are put on the initial data in theorem 1.1 . classical theory thus only predicts the existence of local solutions for a time span of order \(\varepsilon ^{-1}\) . in contrast, the global solutions we construc...
(x)\). Correspondingly, the inverse CrDF\(\tilde{F}_X^{ - 1} (q)\)is also an increasing function based on the inverse function theorem. Since\(\tilde{F}_{X_i }^{ - 1} (q)\)increases with the increase of\(q\), the realization of regional indicator function\(I_q (x_i )...
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 ...
function. We also numerically illustrate the superior performance of Model BPG on standard phase retrieval problems and Poisson linear inverse problems, when compared to a state of the art optimization method that is valid for generic nonconvex nonsmooth optimization problems....
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。
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...
2) implicit function theorem 隐函数存在定理3) existence theorem of implicit function 隐函数的存在性定理 例句>> 4) Existence theorem for primitive functions 原函数存在定理5) Global inverse function theorems 整体反函数定理6) the theorem on the existence of derivative of monotone function 单调...