Publication Cover
Applicable Analysis
An International Journal
Volume 18, 1984 - Issue 4
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Original Articles

The use of integral operators in undetermined coefficient problems for partial differential equations

Pages 309-324 | Received 29 May 1984, Published online: 02 May 2007

References

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  • Gelfand , I. M. and Levitan , B. M. 1955 . On the determination of a differential equation from its spectral function . Amer. Math. soc. Trans. Ser , 2 : 253 – 304 .
  • Gilbert , R. P. 1970 . The construction of solutions for boundary value problems by function theoretic methods . Siam J. Math. Anal. Vol , 1 ( 1 ) : 96 – 114 .
  • Gilbert , R. P. 1969 . Function Theoretic Methods in Partial Differential Equations , New York : Academic Press .
  • Linke , H. P. 1976 . Uber ein inverses problem fur Diewarmeleitungsgleichung . Wissenschaf 1 icheZeitgchriftder Technischen Hochschule Karl-Marx-Stadt , 18 : 445 – 447 .
  • Pierce , A. 1979 . Unique identification of eigenvalues and coefficients in a parabolic problem . SIAM Journal Control and Optimization , 17 ( 4 ) : 494 – 499 .
  • Rundeil , W. An inverse problem for a parabolic partial differential equation. To appear , Rocky Mountain Journal .
  • Suzuki , T. 1983 . Uniqueness and nonuniqueness in an inverse problem for the parabolic equation . J. Diff. Eqn , 47 ( 4 ) : 296 – 316 .

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