|
Wazewski's Method for Nonlinear Evolution Equations
S. G. Lobanov State University – Higher School of Economics
Abstract:
We justify a method for reducing a wide class of nonlinear equations (including several partial differential equations) to ordinary differential equations in locally convex spaces. The possibilities of this method are demonstrated by an example of a class of nonlinear hyperbolic partial differential equations.
Keywords:
evolution equation, hyperbolic partial differential equation, ordinary differential equation, locally convex space, mapping, fixed point, Hadamard differentiability.
Received: 20.06.2006
Citation:
S. G. Lobanov, “Wazewski's Method for Nonlinear Evolution Equations”, Mat. Zametki, 83:5 (2008), 705–714; Math. Notes, 83:5 (2008), 643–651
Linking options:
https://www.mathnet.ru/eng/mzm4717https://doi.org/10.4213/mzm4717 https://www.mathnet.ru/eng/mzm/v83/i5/p705
|
Statistics & downloads: |
Abstract page: | 516 | Full-text PDF : | 256 | References: | 56 | First page: | 3 |
|