# An Inverse Spectral Problem for a Nonsymmetric Differential Operator: Uniqueness and Reconstruction Formula

@article{Ning2006AnIS,
title={An Inverse Spectral Problem for a Nonsymmetric Differential Operator: Uniqueness and Reconstruction Formula},
author={Wuqing Ning and Masahiro Yamamoto},
journal={Integral Equations and Operator Theory},
year={2006},
volume={55},
pages={273-304}
}
Abstract.We consider an eigenvalue problem for a system on [0, 1]: \left\{ {\begin{array}{*{20}l} {\left[ {\left( {\begin{array}{*{20}c} 0 & 1 \\ 1 & 0 \\ \end{array} } \right)\frac{{\text{d}}} {{{\text{d}}x}} + \left( {\begin{array}{*{20}c} {p_{11} (x)} & {p_{12} (x)} \\ {p_{21} (x)} & {p_{22} (x)} \\ \end{array} } \right)} \right]\left( {\begin{array}{*{20}c} {\varphi ^{(1)} (x)} \\ {\varphi ^{(2)} (x)} \\ \end{array} } \right) = \lambda \left( {\begin{array}{*{20}c} {\varphi ^{(1)} (x… CONTINUE READING

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#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 22 REFERENCES

## On the determination of a differential equation from its spectral function

VIEW 11 EXCERPTS
HIGHLY INFLUENTIAL

## Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## An inverse spectral problem for a nonnormal first order differential operator

VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

VIEW 2 EXCERPTS

## A new approach to inverse spectral theory

B. Simon
• I. Fundamental formalism, Ann. of Math. (2) 150
• 1999

VIEW 2 EXCERPTS

M. Yamamoto
• 1996
VIEW 2 EXCERPTS