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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2026. Vol 56

On the Solution of Coefficient-Inverse Problems for ODEs with Non-Local Conditions

Author(s)

Kamil R. Aida-zade 1,3, Vagif M. Abdullayev1,2,3

1 Institute of Mathematics, Baku, Azerbaijan

2 Azerbaijan State Oil and Industry University, Baku, Azerbaijan 

3 Azerbaijan University of Architecture and Construction, Baku, Azerbaijan 

Abstract
We consider a class of problems in which it is required to determine unknown constant coefficients appearing in the free terms of non-autonomous systems of ordinary differential equations. The basic and additional (overdetermining) conditions are, in the general case, of a nonlocal nature: they involve cumulative characteristics of the unknown state functions – both their values at selected points and their integral values over specified sub-intervals. Depending on the relation between the number of unknown coefficients and the number of additional conditions, several problem settings and corresponding solution methods are discussed. Results of computer experiments are presented, together with an analysis of how errors in the prescribed conditions affect the accuracy of the solutions for test problems.
About the Authors

Kamil R. Aida-zade, Dr. Sci. (Phys.-Math.), Corresponding Member of the National Academy of Sciences of Azerbaijan, Prof., Head of Department, Institute of Mathematics, Baku, AZ 1141, Azerbaijan, kamil aydazade@rambler.ru

Vagif M. Abdullayev, Dr. Sci. (Phys.-Math.), Prof., Azerbaijan State Oil and Industry University; Senior Research Scientist, Institute of Mathematics; Employee, Scientific and Innovation Center, Azerbaijan University of Architecture and Construction, Baku, AZ 1141, Azerbaijan, vaqif ab@rambler.ru

For citation
Aida-zade K. R., Abdullayev V. M. On the Solution of Coefficient-Inverse Problems for ODEs with Non-Local Conditions. The Bulletin of Irkutsk State University. Series Mathematics, 2026, vol. 56, pp. 47–63. (in Russian) https://doi.org/10.26516/1997-7670.2026.56.47
Keywords
inverse problems, parametric identification, multipoint conditions, nonlocal conditions, dynamic system
UDC
519.622
MSC
65L09, 34A55, 34B10
DOI
https://doi.org/10.26516/1997-7670.2026.56.47
References
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