Geodesic
Wazewski's Method for Nonlinear Evolution Equations
Matematičeskie zametki, Tome 83 (2008) no. 5, pp. 705-714

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : evolution equation
Keywords: hyperbolic partial differential equation, ordinary differential equation, locally convex space, mapping, fixed point, Hadamard differentiability. 
@article{MZM_2008_83_5_a6,
     author = {S. G. Lobanov},
     title = {Wazewski's {Method} for {Nonlinear} {Evolution} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {705--714},
     publisher = {mathdoc},
     volume = {83},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_5_a6/}
}
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S. G. Lobanov. Wazewski's Method for Nonlinear Evolution Equations. Matematičeskie zametki, Tome 83 (2008) no. 5, pp. 705-714. http://geodesic.mathdoc.fr/item/MZM_2008_83_5_a6/