Geodesic
Periodic solutions of dissipative dynamical systems with singular potential and $p$-Laplacian
Bing Liu1
1 Department of Mathematics Huazhong University of Science and Technology Wuhan 430074, P.R. China and College of Mathematics and Statistics Wuhan University Wuhan 430072, P.R. China
Annales Polonici Mathematici, Tome 79 (2002) no. 2, pp. 109-120.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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: $(\phi _p(x'))'+{d\over dt}\mathop {\rm grad}\nolimits F(x)+\mathop {\rm grad}\nolimits G(x)=e(t)$, $x(0)=x(T)$, $x'(0)=x'(T)$. Sufficient conditions to guarantee the existence of solutions are obtained under no restriction on the damping forces ${d\over dt}\mathop {\rm grad}\nolimits F(x)$.
DOI : 10.4064/ap79-2-2
Keywords: using topological degree theory analytic methods consider periodic boundary value problem singular dissipative dynamical systems p laplacian phi mathop grad nolimits mathop grad nolimits sufficient conditions guarantee existence solutions obtained under restriction damping forces mathop grad nolimits

Bing Liu 1

1 Department of Mathematics Huazhong University of Science and Technology Wuhan 430074, P.R. China and College of Mathematics and Statistics Wuhan University Wuhan 430072, P.R. China 
@article{10_4064_ap79_2_2,
     author = {Bing Liu},
     title = {Periodic solutions of dissipative dynamical systems
with singular potential and $p${-Laplacian}},
     journal = {Annales Polonici Mathematici},
     pages = {109--120},
     publisher = {mathdoc},
     volume = {79},
     number = {2},
     year = {2002},
     doi = {10.4064/ap79-2-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap79-2-2/}
}
TY  - JOUR
AU  - Bing Liu
TI  - Periodic solutions of dissipative dynamical systems
with singular potential and $p$-Laplacian
JO  - Annales Polonici Mathematici
PY  - 2002
SP  - 109
EP  - 120
VL  - 79
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap79-2-2/
DO  - 10.4064/ap79-2-2
LA  - en
ID  - 10_4064_ap79_2_2
ER  - 
%0 Journal Article
%A Bing Liu
%T Periodic solutions of dissipative dynamical systems
with singular potential and $p$-Laplacian
%J Annales Polonici Mathematici
%D 2002
%P 109-120
%V 79
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap79-2-2/
%R 10.4064/ap79-2-2
%G en
%F 10_4064_ap79_2_2
Bing Liu. Periodic solutions of dissipative dynamical systems
with singular potential and $p$-Laplacian. Annales Polonici Mathematici, Tome 79 (2002) no. 2, pp. 109-120. doi : 10.4064/ap79-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ap79-2-2/

Cité par Sources :