• Bulletin of the Korean Mathematical Society
• /
• v.39 no.2
• /
• pp.225-236
• /
• 2002

By means of the method of majorant series, sufficient conditions are obtained for the existence of analytic solutions of a functional differential equation with proportional delays.

• Bulletin of the Korean Mathematical Society
• /
• v.43 no.4
• /
• pp.791-804
• /
• 2006

This paper is concerned with a second-order iterated differential equation of the form $c_0x'(Z)+c_1x'(z)+c_2x(z)=x(az+bx(z))+h(z)$ with the distinctive feature that the argument of the unknown function depends on the state. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained.