Second-Order Viability Problem: A Baire Category Approach
Volume 57 / 2009
Bulletin Polish Acad. Sci. Math. 57 (2009), 9-23
MSC: Primary 34A60.
DOI: 10.4064/ba57-1-2
Abstract
The paper deals with the existence of viable solutions to the differential inclusion $$ \ddot{x}(t)\in f(t,x(t)) + \mathop{\rm ext} F(t,x(t)), $$ where $f$ is a single-valued map and $\mathop{\rm ext} F(t,x)$ stands for the extreme points of a continuous, convex and noncompact set-valued mapping $F$ with nonempty interior.
