This book develops a detailed theory of a generalized
Sturm-Liouville Equation, which includes conditions of solvability,
classes of uniqueness, positivity properties of solutions and
Green's functions, asymptotic properties of solutions at infinity.
Of independent interest, the higher-order Sturm-Liouville equation
also proved to have important applications to differential
equations with operator coefficients and elliptic boundary value
problems for domains with non-smooth boundaries. The book addresses
graduate students and researchers in ordinary and partial
differential equations, and is accessible with a standard
undergraduate course in real analysis.
General
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