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On the reduction of certain dynamic programming problems for nonlinear systems to transcendental equations

โœ Scribed by Ia.N Roitenberg

Publisher
Elsevier Science
Year
1962
Tongue
English
Weight
193 KB
Volume
26
Category
Article
ISSN
0021-8928

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Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems
โœ Niky Kamran; Robert Milson; Peter J. Olver ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant subspace leads to a reduction of the associated dynamical partial differential equations to a system of ordinary differen