Abstract
We study the problem of identifying the constant parameters involved in the right-hand sides of a linear non-autonomous system of differential equations with first-order ordinary derivatives. The specificity of the problem lies in the fact that additional conditions for identifying parameters, firstly, are non-local, and secondly, they include derivatives of an unknown function. We examine the conditions for the existence and uniqueness of a solution to the problem and propose two different approaches to the numerical solution of the problem. The results of computer experiments are presented.
Acknowledgements
The author is grateful to Professor K. R. Aida-zade, Corresponding Member of the National Academy of Sciences of Azerbaijan, for careful reading of the manuscript and helpful remarks.
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© 2025 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points
- Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues
- Blow-up of solutions to some classes of ill-posed operator equations and a growth quantification result
- On an inverse problem with high-order overdetermination conditions
- Two regularization methods for identifying the source term of Caputo–Hadamard type time fractional diffusion-wave equation
- Integrating the probe and singular sources methods: III. Mixed obstacle case
- Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time
- Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces
Artikel in diesem Heft
- Frontmatter
- An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points
- Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues
- Blow-up of solutions to some classes of ill-posed operator equations and a growth quantification result
- On an inverse problem with high-order overdetermination conditions
- Two regularization methods for identifying the source term of Caputo–Hadamard type time fractional diffusion-wave equation
- Integrating the probe and singular sources methods: III. Mixed obstacle case
- Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time
- Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces