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

This reprint contains a collection of research papers on spectral theory for differential and functional differential operators. Spectral theory plays a fundamental role in mathematics and has applications in various fields of science and engineering, e.g., in quantum and classical mechanics, geophy...

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Natura:	Online
Lingua:	inglese
Pubblicazione:	MDPI - Multidisciplinary Digital Publishing Institute 2024
Soggetti:	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 potential function Chebyshev wavelet 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 Sturm–Liouville-type operator functional-differential operator constant delay initial function 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 thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science
Accesso online:	ONIX_20240906_9783725815951_5
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Riassunto:	This reprint contains a collection of research papers on spectral theory for differential and functional differential operators. Spectral theory plays a fundamental role in mathematics and has applications in various fields of science and engineering, e.g., in quantum and classical mechanics, geophysics, acoustics, and electronics. The collection includes recent studies on a variety of topics such as analytical and numerical methods for solving direct and inverse spectral problems, new developments in the theory of partial differential equations, pseudo-differential equations with fractional derivatives, asymptotical analysis for solutions of differential equations, spectral theory for abstract operators in Hilbert spaces, and inverse nodal problems.

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

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