EXISTENCE AND UNIQUENESS THEOREMS IN INVARIANT IMBEDDING. 1. CONSERVATION PRINCIPLES

Abstract

Some of the rigorous aspects of invariant imbedding are discussed: existence and uniqueness of solution, asymptotic behavior over space and time, stability, computational stability, applications to classical boundary-value theory, and so on. An important conservation property, obvious on physical grounds, is used in establishing the existence of the solution of a matrix Riccati equation without recourse to the associated linear differential equation, and thus with out any appeal to spectral theory.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0411583

Entities

People

  • G. M. Wing
  • K. L. Cooke
  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Absorption
  • Boltzmann Equation
  • Boundary Value Problems
  • Difference Equations
  • Differential Equations
  • Energy Levels
  • Equations
  • Formulas (Mathematics)
  • Forward Scattering
  • Government Procurement
  • Integral Equations
  • Linear Differential Equations
  • Partial Differential Equations
  • Radiative Transfer
  • Riccati Equation
  • Scattering
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space