The early reception in France of the work of Poincaré and Lyapunov in the qualitative theory of differential equations

Jean Mawhin

Displaying similar documents to “The early reception in France of the work of Poincaré and Lyapunov in the qualitative theory of differential equations”

Sobre los teoremas de Lyapunov y de Radon-Nikodym.

Juan Luis Romero Romero (1981)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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New trends in mechanics. I. Generalized differential variational principles in rational mechanics.

D. Mangeron, N. Irimiciuc, U. D'Ambrosio (1981)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Conjetura de Kato sobre los abiertos de R.

Pascal Auscher, Philippe Tchamitchian (1992)

Revista Matemática Iberoamericana

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We prove Kato's conjecture for second order elliptic differential operators on an open set in dimension 1 with arbitrary boundary conditions. The general case reduces to studying the operator T = - d/dx a(x) d/dx on an interval, when a(x) is a bounded and accretive function. We show for the latter situation that the domain of T is spanned by an unconditional basis of wavelets with cancellation properties that compensate the action of the non-regular function a(x).