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BIBTEX RIS

Stability of linear equations with differentiable operators in a hilbert space

2018; Oxford University Press; Linguagem: Inglês

10.1093/imamci/dny035

ISSN

1471-6887

Autores

Michael I. Gil’,

Tópico(s)

Numerical methods in inverse problems

Resumo

We consider the equation |$\textrm{d}u(t)/\textrm{d}t=A(t)u(t)$| with an unbounded operator |$A(t)$| in a Hilbert space having a bounded strong derivative. We derive the exponential and |$L^2$| stability conditions. An illustrative example is presented.

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