An investigation of an inverse problem for second-order abstract differential equation

Muslim Malik (), Santosh Ruhil () and Rajesh Dhayal ()
Additional contact information
Muslim Malik: Indian Institute of Technology Mandi
Santosh Ruhil: Indian Institute of Technology Mandi
Rajesh Dhayal: Thapar Institute of Engineering and Technology

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 512-525

Abstract: Abstract In this manuscript, we consider an inverse problem for a second-order abstract differential equation in a Banach space and identify the parameter using an over-determined condition on a mild solution. A direct approach using Volterra integral equation for sufficiently regular data and an optimal control approach for less regular data are the main techniques to find the solution pair of the considered problem. Finally, an application to an inverse problem that appears in elasticity theory is presented.

Keywords: Inverse Problems; Volterra integral equation; Optimal control; 12H20; 34A55; 35R30; 49N45 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-023-00498-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:56:y:2025:i:2:d:10.1007_s13226-023-00498-9

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-023-00498-9

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().