Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space. (September 2017)

• Record Type: Journal Article
• Authors: Abdelli, Mama; Anguiano, María; Haraux, Alain
• Is Part Of: Nonlinear analysis. Volume 161(2017)
• Page Start: 157
• Page End: 181
• Publication Date: 2017-09
• Subjects: 34A34 -- 34C10 -- 34D05 -- 34E99; Existence of the solution -- Uniqueness of the solution -- Decay rate; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.06.001
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The initial value problem and global properties of solutions are studied for the vector equation: ( ‖ u ′ ‖ l u ′ ) ′ + ‖ A 1 2 u ‖ β A u + g ( u ′ ) = 0 in a finite dimensional Hilbert space under suitable assumptions on g .