Modified Wiener equations

Will Watkins

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-10

Abstract:

This paper is concerned with a class of functional differential equations whose argument transforms are involutions. In contrast to the earlier works in this area, which have used only involutions with a fixed point, we also admit involutions without a fixed point. In the first case, an initial value problem for a differential equation with involution is reduced to an initial value problem for a higher order ordinary differential equation. In our case, either two initial conditions or two boundary conditions are necessary for a solution; the equation is then reduced to a boundary value problem for a higher order ODE.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:517651

DOI: 10.1155/S0161171201006561

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