On Determining Higher Coefficient of a Second Order Hyperbolic Equation by the Variational Method

EasyChair Preprint 15858

Abstract

The paper deals with an inverse problem of determining a higher coefficient of a second order hyperbolic equation. This problem is reduced to an optimal control problem and the new problem is studied by the methods of optimal control theory. Is proved existence theorem for optimal control and obtained necessary condition of optimality in the form integral inequality.

Keyphrases: existence theorem, higher coefficient, inverse problem, necessary condition for optimality, optimal control

@booklet{EasyChair:15858,
  author    = {Hamlet Guliyev and Vusala Nasibzadeh},
  title     = {On Determining Higher Coefficient of a Second Order Hyperbolic Equation by the Variational Method},
  howpublished = {EasyChair Preprint 15858},
  year      = {EasyChair, 2025}}