Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients

Authors : Oscillation Of Higher-order Nonlinear De EQUATİONS

Pages : 259-263

View : 14 | Download : 9

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [ainsert ignore into journalissuearticles values(t); [xinsert ignore into journalissuearticles values(t);+rinsert ignore into journalissuearticles values(t);xinsert ignore into journalissuearticles values(kinsert ignore into journalissuearticles values(t););]^{insert ignore into journalissuearticles values(n-1]` +pinsert ignore into journalissuearticles values(t);Finsert ignore into journalissuearticles values(xinsert ignore into journalissuearticles values(tinsert ignore into journalissuearticles values(t);););+qinsert ignore into journalissuearticles values(t);Ginsert ignore into journalissuearticles values(xinsert ignore into journalissuearticles values(sinsert ignore into journalissuearticles values(t);););= finsert ignore into journalissuearticles values(t);, where t\geq t0, n\geq 2, a,p are positive, r,q,f are allowed to alternate in sign infinitely many times, F,G are continuous functions, and k,t,s are strictly increasing unbounded continuous delay functions.
Keywords : Neutral differential equations, positive and oscillating coefficients