Classifications of implicit second-order ordinary differential equations of Clairaut type.

Autor: Machida, Yoshinori, Takahashi, Masatomo
Zdroj: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics; 2008, Vol. 138 Issue 4, p821-842, 22p
Abstrakt: We study an implicit second-order ordinary differential equation with complete integral. The class of second-order Clairaut-type equations is an important class of completely integrable equations. Indeed, the notion of second-order Clairaut-type equations is the generalization of second-order classical Clairaut equations. We give generic classifications of second-order Clairaut-type equations under the weak equivalence and the one-parameter strict equivalence relations. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index