Geodesic
Throughout positive solutions of second-order nonlinear differential equations
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we consider the second-order nonlinear and the nonlinear neutral functional differential equations $$\displaylines{ (a(t)x'(t))'+f(t,x(g(t)))=0,\quad t\geq t_0\cr (a(t)(x(t)-p(t)x(t-\tau))')'+f(t,x(g(t)))=0,\quad t\geq t_0\,. }$$ Using the Banach contraction mapping principle, we obtain the existence of throughout positive solutions for the above equations.
Classification : 34C10, 34K11
Keywords: nonlinear differential equations, neutral term, eventually positive solution, throughout positive solution 
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     author = {Zhang, Zhenguo and Wang, Chunjiao and Li, Qiaoluan and Li, Fang},
     title = {Throughout positive solutions of second-order nonlinear differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a134/}
}
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Zhang, Zhenguo; Wang, Chunjiao; Li, Qiaoluan; Li, Fang. Throughout positive solutions of second-order nonlinear differential equations. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a134/