Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form

DOI10.1007/BF02110743zbMath0836.34060OpenAlexW2022680057MaRDI QIDQ1905267

I. V. Tikhonov, Yu. S. Èĭdel'man

Publication date: 8 January 1996

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02110743

zbMATH Keywords

functionalinverse problemBanach algebrasemigroupinitial value problem

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Inverse problems involving ordinary differential equations (34A55)

Related Items (13)

A note on the abstract Cauchy problem ⋮ Linear inverse problems for multi-term equations with Riemann-Liouville derivatives ⋮ Inverse linear problems for a certain class of degenerate fractional evolution equations ⋮ An inverse problem for linear Sobolev type equations ⋮ A class of inverse problems for fractional order degenerate evolution equations ⋮ Abstract fractional inverse source problem of order \(0<\alpha <1\) in a Banach space ⋮ Efficient inversion of matrix \(\varphi \)-functions of low order ⋮ Unnamed Item ⋮ Linear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial case ⋮ Inverse problem for evolutionary equation with the Gerasimov-Caputo fractional derivative in the sectorial case ⋮ Direct and inverse problems for some degenerate equations ⋮ Inverse problems for a class of degenerate evolution equations with Riemann - Liouville derivative ⋮ Special Examples of Superstable Semigroups and Their Application in the Inverse Problems Theory

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Differentiability of Weak Solutions to an Abstract Inhomogeneous Differential Equation
• ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
• Regularity of Solutions to an Abstract Inhomogeneous Linear Differential Equation
• On the connection between inverse problems with final and integral overdetermination

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