INFINITELY MANY SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SYSTEMS WITH IMPULSIVE EFFECTS
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DOI: 10.11948/20180131
Abstract: In this paper, we establish the existence of infinitely many solutions for a class of non-autonomous second-order systems with impulsive effects. Our technique is based on the Fountain Theorem of Bartsch and the Symmetric Mountain… read more here.
Keywords: order systems; second order; non autonomous; many solutions ... See more keywords
Noether-Type First Integrals Associated with Autonomous Second-Order Lagrangians
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DOI: 10.3390/sym11091088
Abstract: In this paper, the analysis is centered on Noether-type first integrals in Lagrange-Hamilton dynamics based on autonomous second-order Lagrangians. More precisely, by using the classical Noether’s theorem and a non-standard Legendrian duality, the single-time and… read more here.
Keywords: second order; order lagrangians; first integrals; autonomous second ... See more keywords