Inverse spectral problems for nonlinear Sturm-Liouville problems.
Shibata, Tetsutaro (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Shibata, Tetsutaro (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dodd, Jeff (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bahk, Sarah Y., Dyakevich, Nadejda E., Johnson, Stefan C. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Al Bastami, Anas, Belić, Milivoj R., Petrović, Nikola Z. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Vrabel, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hayashi, Nakao, Naumkin, Pavel I. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Umeda, Tomio (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Khapalov, Alexander Y., Nag, Parthasarathi (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tuan, Vu Kim (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30 We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion equation. If a lower bound on the diffusion coefficient is known a priori then even only two measurements are sufficient. The technique is based on possibility of extracting the full boundary spectral data from special lateral...
Matsutani, Shigeki (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ould Ahmed Izid Bih Isselkou (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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We consider a semilinear elliptic eigenvalues problem on a ball of and show that all the eigenfunctions and eigenvalues, can be obtained from the Lane-Emden function.