Recovery of differential equations with nonlinear dependence on the spectral parameter |
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Authors: | V Yurko |
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Institution: | Department of Mathematics , Saratov State University , Astrakhanskaya 83 , 410026 , Russia Phone: 8452-732526 Fax: 8452-732526 E-mail: yurkova@info.sgu.ru |
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Abstract: | The inverse spectral problem of recovering pencils of second-order differential operators on the half-line is studied. We give a formulation of the inverse problem, prove the uniqueness theorem and provided a procedure for constructing the solution of the inverse problem. We also establishe connections with inverse problems for partial differential equations. |
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Keywords: | Inverse problmes pencils of differential operators wave equation |
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