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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| 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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| _version_ | 1832545928575188992 |
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| author | Will Watkins |
| author_facet | Will Watkins |
| author_sort | Will Watkins |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-779b7324598041daa6fcdb452aa6c667 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-779b7324598041daa6fcdb452aa6c6672025-02-03T07:24:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127634735610.1155/S0161171201006561Modified Wiener equationsWill Watkins0Department of Mathematics, University of Texas, Pan American, Edinburg 78539, TX, USAThis 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.http://dx.doi.org/10.1155/S0161171201006561 |
| spellingShingle | Will Watkins Modified Wiener equations International Journal of Mathematics and Mathematical Sciences |
| title | Modified Wiener equations |
| title_full | Modified Wiener equations |
| title_fullStr | Modified Wiener equations |
| title_full_unstemmed | Modified Wiener equations |
| title_short | Modified Wiener equations |
| title_sort | modified wiener equations |
| url | http://dx.doi.org/10.1155/S0161171201006561 |
| work_keys_str_mv | AT willwatkins modifiedwienerequations |