Corrigendum to "Quantitative and stability study of the evolution of a thermoelastic body" [MethodsX 10 (2023) 101983].

[This corrects the article DOI: 10.1016/j.mex.

Quantitative and stability study of the evolution of a thermoelastic body.

We prove the existence and uniqueness of a solution to a system of equations describing the evolution of a linear thermoelastic body by using a semi-group method. Moreover, the uniform exponential stability of the solution is shown in a particular case.•With respect to the existence and uniqueness of the solution, we have defined a linear operator which generates a contraction semi-group and show that it is monotone maximal.

Dynamics of -piecewise pseudo almost periodic solutions of neutral-type inertial neural networks models: existence and attractiveness.

In this work, we use measure theory to provide new sufficient conditions for the existence, uniqueness and global exponential stability of piecewise pseudo almost periodic solutions of neutral-type inertial neural networks with mixed delay and impulsive perturbations. By proposing a variable substitution, the neutral-type inertial neural networks can be rewritten as a first-order differential equation. As a consequence, we investigate the exponential attractiveness of -piecewise pseudo almost periodic solutions of the considered model.

Solvability of some partial functional integrodifferential equations with finite delay and optimal controls in Banach spaces.

In this work, we consider the control system governed by some partial functional integrodifferential equations with finite delay in Banach spaces. We assume that the undelayed part admits a resolvent operator in the sense of Grimmer. Firstly, some suitable conditions are established to guarantee the existence and uniqueness of mild solutions for a broad class of partial functional integrodifferential infinite dimensional control systems.