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| Volume 8, Number 3, December 2007, pp. 373-390 | ||||||||||
| Giuseppina Barletta and Nikolaos S. Papageorgiou | ||||||||||
| Key words: | ||||||||||
| Averaged mapping, convex feasibility problem, Hilbert space, iterative algorithm, nearest point projection, strongly nonexpansive mapping | ||||||||||
| Mathematices Subject Classification: Primary 47H09, 47N10, 90C25 | ||||||||||
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| Abstract: | |||
| In this paper we study the existence and multiplicity of solutions for a second order nonautonumous periodic system with a nonsmooth potential. We prove two existence theorems and a multiplicity result. In the first existence theorem the Euler functional is coercive and the solution is a minimizer of it. In the second existence theorem the Euler functional is unbounded and the solution is obtained using the saddle point theorem. Finally for the multiplicity result we employ a nonsmooth version of the local linking theorem. |
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| Nonautonomous second order periodic systems: existence and multiplicity of solutions |
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