EXTENSION AND BEHAVIOR AT INFINITY OF SOLUTIONS OF CERTAIN LINEAR OPERATIONAL DIFFERENTIAL EQUATIONS,

Abstract

Let E be a complex Banach space, A, B linear operators with domains D(A), D(B) dense in E and range in E. An E-valued function u(.) defined and twice continuously differentiable in t = or > O is said to be a solution of the operational differential equation (1.1) u double prime + Bu(t) + Au(t) = O in (O, infinity) if u(t) epsilon D(A), u'(t) epsilon D(B), Au(.) and Bu(.) are continuous functions and (1.1) is satisfied everywhere in t = or > O. The problem of obtaining global estimates for the solutions of (1.1) are discussed on the basis of the given hypotheses. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0681361

Entities

People

  • H. O. Fattorini

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Differential Equations
  • Equations
  • Hypotheses
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research

Technology Areas

  • Space