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1.
A high-order method for the approximate identification of the matrix of a linear differential system
Steven M. Serbin 《Journal of Mathematical Analysis and Applications》1975,50(3):607-613
For a linear differential system y′ = Ay with unknown matrix A, we approximate A by a particular linear combination of values of the observed exponential matrix
and show that the L1 norm of the error matrix is O(hn). 相似文献
Full-size image
2.
We study generalized equations of the following form: (render) where f is Fréchet differentiable in a neighborhood of a solution x* of (*) and g is Fréchet differentiable at x* and where F is a set-valued map acting in Banach spaces. We prove the existence of a sequence (xk) satisfying which is super-linearly convergent to a solution of (*). We also present other versions of this iterative procedure that have superlinear and quadratic convergence, respectively. 相似文献
0f(x)+g(x)+F(x),
3.
Daniele Bartolucci Fabiana Leoni Luigi Orsina Augusto C. Ponce 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2005,22(6):799-815
We study the existence and non-existence of solutions of the problem (0.1) where Ω is a bounded domain in , N3, and μ is a Radon measure. We prove that if , then (0.1) has a unique solution. We also show that the constant 4π in this condition cannot be improved. 相似文献
4.
Fordyce A. Davidson Bryan P. Rynne 《Journal of Mathematical Analysis and Applications》2004,300(2):491-504
Let TR be a time-scale, with a=infT, b=supT. We consider the nonlinear boundary value problem (2) (4)
u(a)=u(b)=0,