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EnglishWe study changes of variable, called time transformations, which reduce a delay differential equation (DDE) with a variable non-vanishing delay and an unbounded lag function to another DDE with a constant delay. By using this reduction, we can easily obtain a superconvergent integration of the original equation, even in the case of a non-strictly-increasing lag function, and study the type of decay to zero of solutions of scalar linear non-autonomous equations with a strictly increasing lag function.
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http://hdl.handle.net/11368/3288| Titolo: | Time transformation for delay differential equations |
| Autori interni: | MASET, STEFANO |
| Data di pubblicazione: | 2009 |
| Rivista: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
| Abstract: | We study changes of variable, called time transformations, which reduce a delay differential equation (DDE) with a variable non-vanishing delay and an unbounded lag function to another DDE with a constant delay. By using this reduction, we can easily obtain a superconvergent integration of the original equation, even in the case of a non-strictly-increasing lag function, and study the type of decay to zero of solutions of scalar linear non-autonomous equations with a strictly increasing lag function. |
| Handle: | http://hdl.handle.net/11368/3288 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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