on q-gevrey asymptotics for singularly perturbed q-difference-differential problems with an irregular singularity
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2012
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Abstract
We study a q-analog of a singularly perturbed Cauchy problem with irregular singularity
in the complex domain which generalizes a previous result by Malek in (2011). First, we construct solutions defined in open q-spirals to the origin. By means of a q-Gevrey version of Malgrange-Sibuya theorem we show the existence of a formal power series in the perturbation parameter which turns out to be the q-Gevrey asymptotic expansion (of certain type) of the actual solutions.
| Reference Key |
lastra2012abstracton
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| Authors | ;Alberto Lastra;Stéphane Malek |
| Journal | science and technology of advanced materials |
| Year | 2012 |
| DOI |
10.1155/2012/860716
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| URL | |
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