In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order nonlinear neutral differential equations. Our results include as special cases some well-knownâ€¦ (More)

(Hï›œ) I := [tï˜¹,âˆž), r,p âˆˆ Cï›œ(I,R), r(t) > ï˜¹, and p(t)â‰¥ ï˜¹; (Hï˜º) q âˆˆ C(IÃ— [a,b], [ï˜¹,âˆž)) and q(t, Î¾ ) is not eventually zero on any [tÎ¼,âˆž)Ã— [a,b], tÎ¼ âˆˆ I; (Hï˜») g âˆˆ C(IÃ— [a,b], [ï˜¹,âˆž)), lim inftâ†’âˆž g(t, Î¾ )â€¦ (More)

1School of Informatics, Linyi University, Linyi, Shandong 276005, China 2Department of Mathematics and Statistics, Missouri S&T, Rolla, MO 65409-0020, USA 3Department of Mathematics, Faculty of Artsâ€¦ (More)

In this article, we obtain sufficient conditions for first-order nonlinear neutral differential equations to have nonoscillatory solutions for different ranges of p1(t) and p2(t, Î¾). We use theâ€¦ (More)

We consider the nonlinear neutral functional differential equation [r (t)[x(t) + b a p(t, Âµ)x(Ï„(t, Âµ))dÂµ] (nâˆ’1) ] + Î´ d c q(t, Î¾)f (x(Ïƒ (t, Î¾)))dÎ¾ = 0 with continuous arguments. We will developâ€¦ (More)