Open AccessMixed Problem with an Integral Two-Space-Variables Condition for a Class of Hyperbolic Equations
Author(s) -
Taki-Eddine Oussaeif,
Abdelfatah Bouziani
Publication year - 2013
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2013/957163
Subject(s) - mathematics , uniqueness , class (philosophy) , a priori and a posteriori , mathematical analysis , operator (biology) , range (aeronautics) , space (punctuation) , pure mathematics , philosophy , biochemistry , chemistry , materials science , linguistics , epistemology , repressor , artificial intelligence , computer science , transcription factor , composite material , gene
This paper is devoted to the proof of the existence and uniqueness of the classical solution of mixed problems which combine Neumann condition and integral two-space-variables condition for a class of hyperbolic equations. The proof is based on a priori estimate “energy inequality” and the density of the range of the operator generated by the problem considered.
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