Sturm-Liouville problems involving distribution weights and an application to optimal problems

DOI10.1007/s10957-019-01584-xzbMath1435.34027OpenAlexW2976209052WikidataQ127217045 ScholiaQ127217045MaRDI QIDQ2302830

Hongjie Guo, Jian Gang Qi

Publication date: 26 February 2020

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-019-01584-x

zbMATH Keywords

optimizationSturm-Liouville problemjump conditionsmin-max principleLyapunov-type inequalitydistribution weight

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Parameter dependent boundary value problems for ordinary differential equations (34B08) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

A variational approach to the optimal locations of the nodes of the second Dirichlet eigenfunctions ⋮ Extremum estimates of the \(L^1\)-norm of weights for eigenvalue problems of vibrating string equations based on critical equations

Cites Work

• Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions
• Variational methods for the fractional Sturm-Liouville problem
• Extremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) balls
• Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
• Volterra-Stieltjes integral equations and generalized ordinary differential expressions
• On the number and complete continuity of weighted eigenvalues of measure differential equations.
• Dependence of solutions and eigenvalues of measure differential equations on measures
• Advanced methods in the fractional calculus of variations
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Extremal norms of the potentials recovered from inverse Dirichlet problems
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• Lyapunov-type Inequalities
• Bounds and optimization of the minimum eigenvalue for a vibrating system
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