New results of periodic solutions for a class of delay Rayleigh equation
Wang, Yong
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 409-420 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this studies, we discuss the following Rayleigh equation with two delays: $$ x''(t)+f(t,x'(t))+g_{1}(t,x(t-\tau_{1}))+g_{2}(t,x(t-\tau_{2}))=e(t). $$ By using Mawhin's continuation theorem and some new techniques, some criteria to guarantee the existence and uniqueness of periodic solutions of this equation is given. Our results are new and complement the known results in the literature.
Publié le : 2009-08-15
Classification:  Rayleigh equation,  Periodic solutions,  Existence and uniqueness,  Continuation theorem,  34B15,  34K13 
@article{1251832368,
     author = {Wang, Yong},
     title = {New results of periodic solutions for a class of delay Rayleigh equation},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 409-420},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251832368}
}

Wang, Yong. New results of periodic solutions for a class of delay Rayleigh equation. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  409-420. http://gdmltest.u-ga.fr/item/1251832368/