Stability of solutions of the operator differential equation in transport theory

DOI10.1007/BF01199983zbMath0584.47049OpenAlexW1986085240WikidataQ115393917 ScholiaQ115393917MaRDI QIDQ1070507

Leiba Rodman, André C. M. Ran

Publication date: 1985

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199983

zbMATH Keywords

stabilityperturbationstransport equationastrophysicsnorm topologybounded selfadjoint operator with zero kernelbounded solutions of the operator differential equationcompact selfadjoint operator with eigenvalues not exceeding 1cutting of Legendre seriesneutron physics

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (4)

Stability of solutions to Sturm-Liouville diffusion equations ⋮ Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions ⋮ Representations of internal field solutions for generalized kinetic models ⋮ Stability of stationary transport equations with accretive collision operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrices and indefinite scalar products
• Minimal factorization of matrix and operator functions
• An abstract treatment of some forward-backward problems of transport and scattering
• Spectral analysis of the transport equation II. Stability and application to the Milne problem
• Diskrete Konvergenz linearer Operatoren. II
• Linear analysis and solution of neutron transport problems

This page was built for publication: Stability of solutions of the operator differential equation in transport theory