Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators

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inverse spectral problems; higher-order differential operators; distribution coefficients; constructive solution; method of spectral mappings; partial inverse spectral problem; partial inverse nodal problem; boundary value problem; graph; paired-dense nodal subset; inverse nodal problem; boundary value problem; potential function; Chebyshev wavelet; inverse spectral problems; Sturm-Liouville operator; differential operators on graphs; Hochstadt-Lieberman problem; half-inverse problem; distributed fractional derivative; fractional differential equation; Cauchy problem; quasiliner equation; fixed point theorem; initial boundary value problem; Sturm–Liouville equations; differences; zeros; completely monotonic functions; Bessel functions; orthogonal polynomials; acoustic equation; inverse problems; direct methods; integral equations; non-selfadjoint Schrödinger operator; Jost solution; direct scattering problem; inverse scattering problem; coercive quasilinear inequalities; KPZ nonlinearities; blow-up; differential pencils; regularized trace formulae; frozen argument; convolution operator; potential; perturbation; spectrum; emerging eigenvalues; Gelfand–Levitan–Krein–Marchenko equation; inverse coefficient problem; inverse scattering problem; Sturm–Liouville-type operator; functional-differential operator; constant delay; initial function; frozen argument; inverse spectral problem; asymptotic methods; oscillating coefficients; singular differential equations of odd order; Campbell’s identity; quasi-derivatives; Shin–Zettl matrix; spatial nonlocal problems; Ionkin condition; splitting method; regular solutions; existence; uniqueness; strictly accretive operator; Abel–Lidskii basis property; Schatten–von Neumann class; convergence exponent; counting function; point interaction; small cavity; Robin condition; norm resolvent convergence; convergence rate; multi-dimensional integral transform; Fox H-function; Melling transform; weighted space; fractional integrals and derivatives