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- W4282959051 abstract "We examine a nonlinear initial value problem both singularly perturbed in a complex parameter and singular in complex time at the origin. The study undertaken in this paper is the continuation of a joined work with A. Lastra published in 2015. A change of balance between the leading and a critical subdominant term of the problem considered in our previous work is performed. It leads to a phenomenon of coalescing singularities to the origin in the Borel plane w.r.t time for a finite set of holomorphic solutions constructed as Fourier series in space on horizontal complex strips. In comparison to our former study, an enlargement of the Gevrey order of the asymptotic expansion for these solutions relatively to the complex parameter is induced." @default.
- W4282959051 created "2022-06-17" @default.
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- W4282959051 date "2022-06-15" @default.
- W4282959051 modified "2023-09-27" @default.
- W4282959051 title "Small Divisors Effects in Some Singularly Perturbed Initial Value Problem With Irregular Singularity" @default.
- W4282959051 doi "https://doi.org/10.20944/preprints202206.0224.v1" @default.
- W4282959051 hasPublicationYear "2022" @default.
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