Stokes-multiplier expansion in an inhomogeneous differential equation with a small parameter
DOI10.1098/RSPA.2005.1479zbMath1206.34111OpenAlexW2095782691WikidataQ115269222 ScholiaQ115269222MaRDI QIDQ5427620
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Publication date: 21 November 2007
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2005.1479
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
Cites Work
- Formal power series and linear systems of meromorphic ordinary differential equations
- Hyperasymptotic solutions of inhomogeneous linear differential equations with a singularity of rank one
- Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one
- Exponentially improved asymptotic solutions of ordinary differential equations. II. Irregular singularities of rank one
- Fluctuation growth and instability associated with a singularity of the balance equations
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