Qualitative theory of differential equations
From Infogalactic: the planetary knowledge core
In mathematics, the qualitative theory of differential equations studies the behavior of differential equations by means other than finding their solutions. It originated from the works of Poincaré and Lyapunov. There are relatively few differential equations that can be solved explicitly, but using tools from analysis and topology, one can "solve" them in the qualitative sense, obtaining many informations about their properties.[1]
References
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
Further reading
- V. V. Nemytskii, V. V. Stepanov, Qualitative theory of differential equations, Princeton University Press, Princeton, 1960.
Original references
- H. Poincaré, "Mémoire sur les courbes définies par une équation différentielle", Journal de Mathématiques Pures et Appliquées (1881, in French)
- Lua error in package.lua at line 80: module 'strict' not found. (it was translated from the original Russian into French and then into this English version, the original is from the year 1892)
