An Inverse Spectral Result for the Periodic Euler-Bernoulli Equation

2004 ◽  
Vol 53 (1) ◽  
pp. 223-242 ◽  
Author(s):  
Vassilis G. Papanicolaou
Keyword(s):  
Bernoulli Equation ◽  
Spectral Result ◽  
Inverse Spectral

An inverse spectral problem for the Euler - Bernoulli equation for the vibrating beam

1997 ◽  
Vol 13 (4) ◽  
pp. 1083-1092 ◽  
Author(s):  
Vassilis G Papanicolaou ◽  
Dimitrios Kravvaritis
Keyword(s):  
Spectral Problem ◽  
Inverse Spectral Problem ◽  
Bernoulli Equation ◽  
Inverse Spectral

scholarly journals An inverse spectral result for elliptical regions in R2

1979 ◽  
Vol 32 (2) ◽  
pp. 128-148 ◽  
Author(s):  
Victor Guillemin ◽  
Richard Melrose
Keyword(s):  
Spectral Result ◽  
Inverse Spectral

A Note on the Application of the Extended Bernoulli Equation

1999 ◽  
Author(s):  
Steven B. Segletes ◽  
William P. Walters
Keyword(s):  
Bernoulli Equation

scholarly journals Determination of differential pencils with impulse from interior spectral data

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yongxia Guo ◽  
Guangsheng Wei ◽  
Ruoxia Yao
Keyword(s):  
Spectral Data ◽  
Interior Point ◽  
Potential Functions ◽  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Inverse Spectral ◽  
Differential Pencils ◽  
Second Spectrum

Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on $[0,\pi ]$ [ 0 , π ] with an interior discontinuity. We prove that two potential functions are determined uniquely by one spectrum and a set of values of eigenfunctions at some interior point $b\in (0,\pi )$ b ∈ ( 0 , π ) in the situation of $b=\pi /2$ b = π / 2 and $b\neq \pi /2$ b ≠ π / 2 . For the latter, we need the knowledge of a part of the second spectrum.

Sign in / Sign up

Export Citation Format

Share Document