Difference functional inequalities and applications | Zendy

Anna Szafrańska | Zendy

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Difference functional inequalities and applications

Author(s) -

Anna Szafrańska

Publication year - 2014

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2014.34.2.405

Subject(s) - mathematics , convergence (economics) , nonlinear system , boundary value problem , inequality , stability (learning theory) , boundary (topology) , significant difference , mathematical analysis , differential (mechanical device) , finite difference , statistics , computer science , physics , quantum mechanics , machine learning , aerospace engineering , engineering , economics , economic growth

The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented

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