On an inverse optimization spectral problem and a corresponding nonlinear boundary-value problem

DOI10.1134/S0001434618090250OpenAlexW2900793594WikidataQ128933060 ScholiaQ128933060MaRDI QIDQ1731499

Xianqiang Yang

Publication date: 13 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618090250

zbMATH Keywords

variational methodsinverse spectral problemnonlinear boundary-value problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Related Items (5)

Optimization inverse spectral problem for a vector Sturm-Liouville operator ⋮ Optimal recovery of potentials for Sturm-Liouville eigenvalue problems with separated boundary conditions ⋮ On inverse spectral problem and generalized Sturm nodal theorem for nonlinear boundary value problems ⋮ Inverse spectral problem for Sturm - Liouville operator with prescribed partial trace ⋮ Recovery of the nearest potential field from the \(m\) observed eigenvalues

Cites Work

• Elliptic partial differential equations of second order
• Discrete and continuous boundary problems
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Remarks on sublinear elliptic equations
• Weak stability for an inverse Sturm–Liouville problem with finite spectral data and complex potential
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