Svetlin G. Georgiev, Khaled Zennir, Keltoum Bouhali, Aissa Boukarou
abstract:
In this paper, we investigate a satellite system in viscoelasticity with a
double flexible panel and external disturbances. The existence of at least one
classical solution is proved under a minimal assumption on the relaxation
function. Besides, we established the existence of at least two non-negative
classical solutions with dynamic boundary conditions. To analyze the results
obtained in different ways, various methods are used, including new iterative
approaches with certain topological properties.
Mathematics Subject Classification: 35B35, 93D20, 93C10
Key words and phrases: Satellite system, nonlinear disturbance, existence of classical solution, iterative methods, nonlinear equations, viscoelasticity