000			01768nam a22002895i 4500
001			91757
005			20240827133001.0
010			_a978-3-030-47849-0 _dcompra
090			_a91757
100			_a20231023d2020 k||y0pory50 ba
101	0		_aeng
102			_aCH _bCham
200	1		_aDirect and inverse Sturm-Liouville problems _bDocumento eletrónico _ea method of solution _fVladislav V. Kravchenko
210			_aCham _cSpringer International Publishing _cBirkhäuser _d2020
215			_aXI, 154 p. _cil.
225	2		_aFrontiers in Mathematics
303			_aThis book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems. The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.
606			_91072 _aEquações diferenciais
606			_930776 _aEquações de Sturm-Liouville
680			_aQA371
700			_955312 _aKravchenko _bVladislav V.
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-47849-0
942			_2lcc _cF _n0