A nonintersection property for extremals of variational problems with vector-valued functions

Alexander J. Zaslavski

doi:10.1016/j.anihpc.2006.01.002

JournalsaihpcVol. 23, No. 6pp. 929–948

A nonintersection property for extremals of variational problems with vector-valued functions

Alexander J. Zaslavski
Department of Mathematics, Technion-Israel Institute of Technology, 32000, Haifa, Israel

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Abstract

In this work we study the structure of extremals of variational problems with vector-valued functions on $[0, \infty)$ . We show that if an extremal is not periodic, then the corresponding curve in the phase space does not intersect itself.

Cite this article

Alexander J. Zaslavski, A nonintersection property for extremals of variational problems with vector-valued functions. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 6, pp. 929–948

DOI 10.1016/J.ANIHPC.2006.01.002