Singular perturbation of linear systems with a regular singularity

DOI10.1023/A:1016326320001zbMath1020.34085MaRDI QIDQ1850860

Werner Balser, Vladimir Petrov Kostov

Publication date: 15 December 2002

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

singular perturbationregular singularity1-summability

Mathematics Subject Classification ID

Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (9)

Multisummability of formal power series solutions of partial differential equations with constant coefficients ⋮ Borel summability of divergent solutions for singularly perturbed first order ordinary differential equations ⋮ The Gevrey asymptotics in the initial value problem for singularly perturbed nonlinear differential equations ⋮ Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations ⋮ Recent progress in the theory of formal solutions for ODE and PDE. ⋮ Singular perturbation of nonlinear systems with regular singularity ⋮ Parametric Borel Summability of Partial Differential Equations of Irregular Singular Type ⋮ Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions ⋮ Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. I

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