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

Abstract : The initial value problem and global properties of solutions are studied for the vector equation: $\Big(\|u'\|^{l}u'\Big)'+\|A^{\frac{1}{2}}u\|^\beta Au+g(u')=0$ in a finite dimensional Hilbert space under suitable assumptions on $g$.
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https://hal.sorbonne-universite.fr/hal-01246750
Contributor : Alain Haraux Connect in order to contact the contributor
Submitted on : Wednesday, December 7, 2016 - 5:54:54 PM
Last modification on : Wednesday, November 17, 2021 - 4:01:59 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 4:44:06 AM

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  • HAL Id : hal-01246750, version 2
  • ARXIV : 1512.06537

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Mama Abdelli, María Anguiano, Alain Haraux. Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space. 2016. ⟨hal-01246750v2⟩

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