Modified Wiener equations
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 val...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006561 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |