Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space

Mama Abdelli,María Anguiano,Alain Haraux

doi:10.1016/j.na.2017.06.001

Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space

Mama Abdelli, María Anguiano + Show 1 more

Open Access

https://doi.org/10.1016/j.na.2017.06.001

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Journal: Nonlinear Analysis	Publication Date: Jul 1, 2017
Citations: 3

Affiliation: Université Djillali Liabes, Universidad de Sevilla, Laboratoire Jacques-Louis Lions, Sorbonne Université, French National Centre for Scientific Research

#Finite Dimensional Hilbert Space #Global Properties Of Solutions + Show 8 more

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Abstract

The initial value problem and global properties of solutions are studied for the vector equation: (‖u′‖lu′)′+‖A12u‖βAu+g(u′)=0 in a finite dimensional Hilbert space under suitable assumptions on g.

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