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Stability of the space identification problem for the elliptic‐telegraph differential equation
Author(s) -
Ashyralyev Allaberen,
AlHammouri Ahmad
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6803
Subject(s) - mathematics , mathematical analysis , hilbert space , differential equation , stability (learning theory) , elliptic partial differential equation , elliptic operator , space (punctuation) , elliptic curve , first order partial differential equation , computer science , machine learning , operating system
The present paper is devoted to study the space identification problem for the elliptic‐telegraph differential equation in Hilbert spaces with the self‐adjoint positive definite operator. The main theorem on the stability of the space identification problem for the elliptic‐telegraph differential equation is proved. In applications, theorems on the stability of three source identification problems for one dimensional with nonlocal conditions and multidimensional elliptic‐telegraph differential equations are established.