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

DOI10.1016/j.na.2017.06.001zbMath1381.34033arXiv1512.06537OpenAlexW2962841682WikidataQ58377507 ScholiaQ58377507MaRDI QIDQ2399695

Mama Abdelli, Alain Haraux, María Anguiano

Publication date: 24 August 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06537

zbMATH Keywords

decay rateuniqueness of the solutionexistence of the solution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations
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• Compactness of trajectories to some nonlinear second order evolution equations and applications
• Global behavior of the solutions to a class of nonlinear, singular second order ODE
• Slow and fast decay of solutions to some second order evolution equations
• SHARP DECAY ESTIMATES OF THE SOLUTIONS TO A CLASS OF NONLINEAR SECOND ORDER ODE's