On the attainable order of collocation methods for pantograph integro-differential equations

摘要

For the pantograph integro-differential equation (PIDE) with nonhomogeneous term: y′(t)=ay(t)+∫01y(σ(q)t)dμ(q)+∫01y′(ρ(q)t)dν(q)+f(t),t>0,y(0)=y0, with proportional delays σ(q)t and ρ(q)t,0<σ(q),ρ(q)⩽1,0