Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian

Bing Liu. "Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian." Annales Polonici Mathematici 79.2 (2002): 109-120. <http://eudml.org/doc/280147>.

@article{BingLiu2002,
abstract = {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: $(ϕ_p(x^\{\prime \}))^\{\prime \} +d/dt gradF(x) + gradG(x) = e(t)$, 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).},
author = {Bing Liu},
journal = {Annales Polonici Mathematici},
keywords = {singular potential; dissipative system; -Laplacian; existence; periodic solution},
language = {eng},
number = {2},
pages = {109-120},
title = {Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian},
url = {http://eudml.org/doc/280147},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Bing Liu
TI - Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 2
SP - 109
EP - 120
AB - 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: $(ϕ_p(x^{\prime }))^{\prime } +d/dt gradF(x) + gradG(x) = e(t)$, 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).
LA - eng
KW - singular potential; dissipative system; -Laplacian; existence; periodic solution
UR - http://eudml.org/doc/280147
ER -