Sturm-Liouville Theory

By G. Arfken, H. Weber, Frank E. Harris. 2012

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On a Regular Fractional Sturm-Liouville Problem with derivatives of order in (0,1) (2012, unknown): “The Sturm-Liouville Problems (SLPs) and many of the associated theories were introduced over 170 years ago, and since then the resulting fields have played significant roles in many areas of science, engineering, and mathematics [1].”
Dependence of solutions and eigenvalues of measure differential equations on measures (2013, background): “9) is a generalization of the results for arguments of linear ODE which are used to deduce the formulas for differentials of eigenvalues in potentials [28].”
Characterization of Domains of Self-Adjoint Ordinary Differential Operators II (2009, background): “(A comprehensive discussion of the case k = 1 can be found in the book [43].”
Lyapunov inequalities and stability for linear Hamiltonian systems (2012, unknown): “See, for example, [31].”
Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation (2013, methodology): “For many applications, the Sturm–Liouville Problems (SLPs) are studied as boundary-value problems [2].”
Quasilimiting behavior for one-dimensional diffusions with killing (2010, background): “A proof of it can be found in general references on the theory of Sturm–Liouville or Schrödinger operators, such as Gesztesy and Zinchenko (2006), Carmona and Lacroix (1990), Zettl (2005).”