ON INEQUALITIES FOR DIFFERENTIAL OPERATORS

Abstract

In this paper the following problem was studied: Given that certain functionals of u and its derivatives belong to given L-classes over the infinite interval, what can be said about the L-classes of other functionals. Utilizing a simple device from the theory of linear differential equations, results were obtained due to Landau, Kolmogoroff, Halperin-von Neumann, and Nagy, together with some extensions.

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Document Details

Document Type
Technical Report
Publication Date
Oct 28, 1957
Accession Number
AD0606277

Entities

People

  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Hard Copy
  • Inequalities
  • Integrals
  • Intervals
  • Linear Differential Equations
  • Notation
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Linear Algebra