The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems-Reference-Cited by-同舟云学术

The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems

Published:2006-07 Issue:2 Volume:65 Page:395-432
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Samoilenko A.M.,Prykarpatsky Y.A.,Prykarpatsky A.K.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference38 articles.

1. Eigenfunctions Expansions Related with Selfadjoint Operators;Berezansky,1965

2. Schrodinger Equation;Berezin,1983

3. Volterra Equations and Inverse Problems;Bukhgeim,1983

4. Complex Manifolds;Chern,1956

5. Feedback control in distributed parameter gyroscopic systems: a solution of the partial eigenvalue assignment problem;Datta;Mech. Syst. Signal Process.,2002

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