Solving a second-order algebro-differential equation with respect to the derivative

DOI10.20310/2686-9667-2021-26-136-414-420OpenAlexW4205921607WikidataQ115233868 ScholiaQ115233868MaRDI QIDQ5092869

Vladimir Igoevich Uskov

Publication date: 26 July 2022

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu242

zbMATH Keywords

Cauchy problemBanach spaceFredholm operatorcascade splittingsecond-order algebro-differential equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear differential equations in abstract spaces (34G10)

Related Items (1)

Solution of a second-order algebro-differential equation in a Banach space

Cites Work

• Asymptotic solution of the Cauchy problem for a first-order equation with a small parameter in a Banach space. The regular case
• Study of rigidity of a first-order algebro-differential system with perturbation in the right-hand side
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