Convergence Criteria for Fixed Point Problems and Differential Equations

Convergence Criteria for Fixed Point Problems and Differential Equations

We consider a Cauchy problem for differential equations in a Hilbert space <i>X</i>. The problem is stated in a time interval <i>I</i>, which can be finite or infinite. We use a fixed point argument for history-dependent operators to prove the unique solvability of the proble...

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Bibliographic Details
Main Authors: Mircea Sofonea, Domingo A. Tarzia
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
differential equation
Cauchy problem
fixed point
history-dependent operator
convergence criterion
viscoelastic constitutive law
Online Access:https://www.mdpi.com/2227-7390/12/3/395

Internet

https://www.mdpi.com/2227-7390/12/3/395

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