Boundary layer phenomenon for a first order descriptor equation with small parameter on the right-hand side

DOI10.1007/S10958-020-05009-3zbMath1454.34088OpenAlexW3081882451MaRDI QIDQ2199058

Yanyan Li

Publication date: 16 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05009-3

zbMATH Keywords

regularizationill-posednesslinear differential equation in Banach space

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear differential equations in abstract spaces (34G10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

• The role of perturbations in the Cauchy problem for equations with a Fredholm operator multiplying the derivative
• Asymptotic solution of the Cauchy problem for a first-order equation with a small parameter in a Banach space. The regular case
• A study of the rigidity of descriptor dynamical systems in a Banach space

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