On periodic motions of a two dimensional Toda type chain
Dipartimento di Mathematica, Universita di Roma
Tre, Via S. Leonardo Murialdo 1, Roma, Italy; firstname.lastname@example.org
2 TIFR Centre, IISc Campus, PB 1234, Bangalore – 560 012, India; email@example.com
In this paper we consider a chain of strings with fixed end points coupled with nearest neighbour interaction potential of exponential type, i.e. We consider the case of “closed chains" i.e. and some and look for solutions which are peirodic in time. The existence of periodic solutions for the dual problem is proved in Orlicz space setting.
Mathematics Subject Classification: 58E30 / 37J45
Key words: Periodic / Toda type chain.
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