- 期刊
- OpenAccess
Recovering Differential Operators on the Half-Line with Indefinite Discontinuous Weights
摘要
Non-self-adjoint second-order differential operators on the half-line with indefinite discontinuous weights are studied. Properties of spectral characteristics are established and inverse problems of recovering operators from their spectral characteristics are investigated. For these class of nonlinear inverse problems algorithms for constructing the global solutions are developed, and uniqueness theorems are proved.
延伸閱讀
- Kuryshova, Y. (2011). An Inverse Spectral Problem for Differential Operators with Integral Delay. Tamkang Journal of Mathematics, 42(3), 295-303. https://www.airitilibrary.com/Article/Detail?DocID=00492930-201012-201108310006-201108310006-295-303
- Chang, D. C., Lyu, X., & Schulze, B. W. (2015). Recent Developments on Pseudo-Differential Operators (II). Tamkang Journal of Mathematics, 46(3), 281-347. https://doi.org/10.5556/j.tkjm.46.2015.1785
- Shakhmurov, V. B. (2007). Degenerate Differential Operators with Parameters. Abstract and Applied Analysis, 2007(), 432-458. https://doi.org/10.1155/2007/51410
- ANDERSON, T. G. (1998). RELATIVELY BOUNDED AND COMPACT PERTURBATIONS OF NTH ORDER DIFFERENTIAL OPERATORS. International Journal of Mathematics and Mathematical Sciences, 1998(), 47-68. https://doi.org/10.1155/S0161171298000064
- Tsai, M. C. (2008). The weighted boundedness of singular integral operators [master's thesis, National Central University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0031-0207200917352391