K. BROWN, Nonlinear boundary value problems and a global inverse function theorem, Annali di Matematica Pura ed Applicata, 106, 1 (1975), 205-217.K. BROWN, Nonlinear boundary value problems and a global inverse function theorem, Annali di Matematica Pura ed Applicata 106, 1 (1975), 205-...
The proof of Theorem1.1is based on a geometric construction involving the Poincaré-Hopf theorem on the relation between zeros of vector fields and the Euler characteristic, the classical Bôcher theorem on the structure of isolated singularities of positive harmonic functions in the plane, condenser...
The following result is from [46, Theorem 5.8.30] and concerns a change of variable in Lebesgue integrals. Lemma 1 Let E⊆D be measurable, and let g:f(E)→R be a measurable function. Then, the following statements are equivalent: Problem statement Consider the discrete-time system xk+...
(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 )...
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...
, 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},\...
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) 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) 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...