Ulam-Hyers-Rassias Stability of a Hyperbolic Partial Differential Equation

descriptionPublicationkeyboard_double_arrow_right Article 15 Feb 2012 English Publisher:Hindawi LimitedJournal:ISRN Mathematical Analysis, volume 2,012, pages 1-10 (eissn: 2090-4665,

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Authors: Lungu, Nicolaie; Crăciun, Cecilia;

doi: 10.5402/2012/609754

Ulam-Hyers-Rassias Stability of a Hyperbolic Partial Differential Equation

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Abstract

We consider a nonlinear hyperbolic partial differential equation in a general form. Using a Gronwall-type lemma we prove results on the Ulam-Hyers stability and the generalised Ulam-Hyers-Rassias stability of this equation.

Related Organizations

Technical University of Cluj-Napoca
Romania

Keywords

Gronwall-type lemma, Stability in context of PDEs, Second-order nonlinear hyperbolic equations

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