Brouwer degree, equivariant maps and tensor powers.
On a local Lipschitz constant of the maps related to -decomposition.
Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')
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.
Some existence results for solutions of differential inclusions with retardations
Using the topological transversality method of Granas we prove an existence result for a system of differential inclusions with retardations of the form y'' ∈ F(t,y,y',Φ(y)). The result is applied to the study of the existence of solutions to an equation of the trajectory of an r-stage rocket with retardations.
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