Direct and Inverse Sturm-Liouville Problems (e-bog) af Kravchenko, Vladislav V.

Direct and Inverse Sturm-Liouville Problems e-bog

473,39 DKK (inkl. moms 591,74 DKK)
This 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 r...
E-bog 473,39 DKK
Forfattere Kravchenko, Vladislav V. (forfatter)
Forlag Birkhauser
Udgivet 28 juli 2020
Genrer PBKF
Sprog English
Format epub
Beskyttelse LCP
ISBN 9783030478490
This 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.