Boundary problems for ordinary differential equations with parameter in the boundary conditions
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Publication:1086724
DOI10.1007/BF01084754zbMath0609.34019OpenAlexW2060503176MaRDI QIDQ1086724
Publication date: 1986
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01084754
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Property of the eigenvectors of quadratic operator pencils of being a basis
- A note on eigenvalue problems with eigenvalue parameter in the boundary conditions
- The development of general differential and general differential-boundary systems
- Green's function for ordinary differential operators
- Regular eigenvalue problems with eigenvalue parameter in the boundary condition
- AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION
- ON THE BASIS PROBLEM OF THE EIGENFUNCTIONS OF AN ORDINARY DIFFERENTIAL OPERATOR
- Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
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