Existence and continuity of solution trajectories of generalized equations with application in electronics. (February 2019)

• Record Type: Journal Article
• Authors: Mehrabinezhad, I.; Pini, R.; Uderzo, A.
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 414
• Page End: 436
• Publication Date: 2019-02
• Subjects: Generalized equations -- Electronic circuits -- Strong metric regularity -- Uniform strong metric regularity -- Perturbations; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.07.002
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We consider a special form of parametric generalized equations arising from electronic circuits with AC sources and study the effect of perturbing the input signal on solution trajectories. Using methods of variational analysis and strong metric regularity property of an auxiliary map, we are able to prove the regularity properties of the solution trajectories inherited by the input signal. Furthermore, we establish the existence of continuous solution trajectories for the perturbed problem. This can be achieved via a result of uniform strong metric regularity for the auxiliary map.