Direct and Inverse Sturm-Liouville Problems: A Method of Solution (Frontiers in Mathematics) - Softcover

Book 44 of 48: Frontiers in Mathematics

Kravchenko, Vladislav V.

 
9783030478483: Direct and Inverse Sturm-Liouville Problems: A Method of Solution (Frontiers in Mathematics)

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783030478506: Direct and Inverse Sturm-Liouville Problems: A Method of Solution

Featured Edition

ISBN 10:  3030478505 ISBN 13:  9783030478506
Publisher: Birkhäuser, 2020
Softcover