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arXiv · 1512.06537

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
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Abstract

The initial value problem and global properties of solutions are studied for the vector equation: $\Big(\|u'\|^{l}u'\Big)'+\|A^{\frac{1}{2}}u\|^βAu+g(u')=0$ in a finite dimensional Hilbert space under suitable assumptions on $g$.

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Mama Abdelli, María Anguiano, Alain Haraux. 2016-12-08. Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space. https://arxiv.org/abs/1512.06537

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