On the Faedo–Galerkin Method for Non-autonomous Nonlinear Differential Systems.

Autor: Kumar, Surendra, Sharma, Paras
Zdroj: Results in Mathematics / Resultate der Mathematik; Jun2023, Vol. 78 Issue 3, p1-16, 16p
Abstrakt: This article contemplates a non-autonomous nonlinear differential system in a separable Hilbert space X . The projection operators are used to confine our concern to a finite-dimensional subspace of X . The existence, uniqueness, and convergence of approximate solutions are explored by making use of the hypothesis of fractional powers of a closed linear operator. We also analyze the Faedo–Galerkin approximation of the solution. An example is also built to exhibit the significance of the acquired results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index