分数阶微分方程非振动解的存在性

Existence of nonoscillatory solutions for fractional differential equations

考虑分数阶具有正负系数中立型微分方程Dtα[r(t)x(t)+P (t)x(t-θ)]-q1(t)g1(x(t-τ))+q2(t)g2(x(t-σ))=h(t),利用Banach压缩映像原理获得了其一个新的非振动解的存在的充分条件.

In this paper, the fractional functional differential equations with positive and negative coefficients Dtα[r(t)x(t) + P(t)x(t-θ)]-q1(t)g1(x(t-τ)) + q2(t)g2(x(t-σ)) = h(t),were investigated. The Banach contraction principle was used to obtain new sufficient condition for the existence of nonoscillatory solutions.