Pseudoparabolic inequalities

Pseudoparabolic inequalities

In this paper we apply the Picard operators technique to a pseudoparabolic inequality. We establish existence and uniqueness of the solution to the corresponding Darboux problem, and derive Gronwall-type results for the solution to the pseudoparabolic inequality. We use the Riemann function to repre...

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Veröffentlicht in:Carpathian Journal of Mathematics 2011-01, Vol.27 (2), p.201-207
Hauptverfasser: Crăciun, Cecilia, Lungu, N.
Format: Artikel
Sprache:eng
Schlagworte:
Adjoints
Boundary conditions
Mathematical functions
Mathematical inequalities
Uniqueness
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Beschreibung
Zusammenfassung:In this paper we apply the Picard operators technique to a pseudoparabolic inequality. We establish existence and uniqueness of the solution to the corresponding Darboux problem, and derive Gronwall-type results for the solution to the pseudoparabolic inequality. We use the Riemann function to represent the solution x* of some particular pseudoparabolic equations.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2011.02.08