Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian
Bing Liu
Annales Polonici Mathematici, Tome 79 (2002), p. 109-120 / Harvested from The Polish Digital Mathematics Library
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By using the topological degree theory and some analytic methods, we consider the periodic boundary value problem for the singular dissipative dynamical systems with p-Laplacian: (ϕp(x'))'+d/dtgradF(x)+gradG(x)=e(t), x(0) = x(T), x’(0) = x’(T). Sufficient conditions to guarantee the existence of solutions are obtained under no restriction on the damping forces d/dt gradF(x).

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:280147 
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Bing Liu. Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian. Annales Polonici Mathematici, Tome 79 (2002) pp. 109-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-2-2/