Article

Inverse problem for an equation of parabolic-hyperbolic type with a nonlocal boundary condition

К. Б. СабитовSamara State University of Architecture and Civil Engineering, Samara, RussiaG. R. YunusovaSamara State University of Architecture and Civil Engineering, Samara, Russia

2012en

ABI

Abstract

For an equation of the parabolic-hyperbolic type, we consider an inverse problem with a nonlocal condition relating solution derivatives that belong to different types of the equation in question. We justify a uniqueness criterion and prove the existence of a solution of the problem by the spectral analysis method. We prove the stability of the solution with respect to the nonlocal boundary condition.

Identifiers

DOI: 10.1134/s0012266112020085

Citations and references

Cited by 30 references

Metrics — AkademScholar · Coming soon