On the Positive Periodic Solutions of the Nonlinear Duffing Equations with Delay and Variable Coefficients
Liu, Yuji ; Ge, Weigao
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, p. 441-455 / Harvested from Project Euclid
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We consider the existence and nonexistence of the positive periodic solutions of the non-autonomous nonlinear Duffing equation with delay and variable coefficients $$ x''(t)-p(t)x'(t)+ q(t)x(t)=\lambda h(t)f(t,x(t-\tau(t)))+r(t), $$ It is shown that the equation has positive periodic solutions under certain conditions and no positive $T-$periodic solution under some other conditions by using a fixed theorem in cones.
Publié le : 2004-09-14
Classification:  nonlinear Duffing equation,  positive periodic solution,  cone,  fixed point theorem 
@article{1093351383,
     author = {Liu, Yuji and Ge, Weigao},
     title = {On the Positive Periodic Solutions of the Nonlinear Duffing Equations
 with Delay and Variable Coefficients},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 441-455},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1093351383}
}

Liu, Yuji; Ge, Weigao. On the Positive Periodic Solutions of the Nonlinear Duffing Equations
 with Delay and Variable Coefficients. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, pp.  441-455. http://gdmltest.u-ga.fr/item/1093351383/