Global existence of solutions to differential equations

Global existence of solutions to differential equations

Sufficient conditions are given for global existence of solutions to systems of nonlinear differential equations. The results are based on the author’s nonlinear inequality. The case when all the eigenvalues of the linearized operator are purely imaginary and distinct is considered.

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Veröffentlicht in:SeMA journal 2019-12, Vol.76 (4), p.625-628
1. Verfasser: Ramm, Alexander G.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Eigenvalues
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Nonlinear equations
Nonlinear systems
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Beschreibung
Zusammenfassung:Sufficient conditions are given for global existence of solutions to systems of nonlinear differential equations. The results are based on the author’s nonlinear inequality. The case when all the eigenvalues of the linearized operator are purely imaginary and distinct is considered.
ISSN:2254-3902
2281-7875
DOI:10.1007/s40324-019-00199-6