2017/10/02 by Aleksander Ćwiszewski, Cwiszewski, Aleksander, Renata Łukasiak +1
Computer Science · Engineering · Mathematics · #34G05 #34G20 #47D06 #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Stability and Controllability of Differential Equations
paper · pdf · doi:10.48550/arxiv.1710.00911
openalex publication_date 2017/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Averaging principle for abstract non-autonomous parabolic evolution equations governed by time-dependent family of positive sectorial operators is proved. Apart from linear case also a nonlinear version for continuous perturbations is provided. These results extend Henry's averaging technique to the case where linear part of the equation depends on time and results due to Ilyin that were for dissipative equations.47D06, 34G05, 34G20