Methods of analysis of the condition for correct solvability in of general Sturm-Liouville equations
We consider the equation where , and In an earlier paper, we obtained a criterion for correct solvability of () in
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Nina A. Chernyavskaya, Leonid A. Shuster (2014)
Czechoslovak Mathematical Journal
We consider the equation where , and In an earlier paper, we obtained a criterion for correct solvability of () in
Y. N. Aliyev (2007)
Colloquium Mathematicae
We consider Sturm-Liouville problems with a boundary condition linearly dependent on the eigenparameter. We study the case of decreasing dependence where non-real and multiple eigenvalues are possible. By determining the explicit form of a biorthogonal system, we prove that the system of root (i.e. eigen and associated) functions, with an arbitrary element removed, is a minimal system in L₂(0,1), except for some cases where this system is neither complete nor minimal.
Wang, Zenggui, Liu, Lishan, Wu, Yonghong (2006)
Discrete Dynamics in Nature and Society
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