Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')
Volume 54 / 1991
Annales Polonici Mathematici 54 (1991), 195-226
DOI: 10.4064/ap-54-3-195-226
Abstract
Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.