摘要:In this paper, we establish the existence of nonoscillatory solutions to the neutral dynamic equation [ x ( t ) − ∫ a b p ( t , η ) x ( g ( t , η ) ) Δ η ] Δ + ∫ c d ω ( t , ν ) x ( h ( t , ν ) ) Δ ν = 0 $$\biggl[x(t)- \int_{a}^{b}p(t,\eta)x\bigl(g(t,\eta)\bigr)\Delta \eta \biggr]^{\Delta }+ \int_{c}^{d}\omega(t,\nu)x\bigl(h(t,\nu)\bigr)\Delta \nu=0 $$ on a time scale T $\mathbb{T}$ . Some examples are given to illustrate the main results.
关键词:Neutral dynamic equation ; Nonoscillatory solution ; Time scale