BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS IN A BANACH SPACE. I,

Abstract

It is indicated that a series of problems in mathematical physics (theory of wave-guides, hydrodynamics, and others) can be considered as boundary-value problems for the second-order equation the second derivative of u with respect to t = Au-f(t), 0 = or < t = or < T, where u(t) is a function to be determined and f(t) is a given function of a complex Banach space E and A in a bounded linear operator. The solution u(t) is sought which satisfies a system of boundary conditions.

Document Details

Document Type
Technical Report
Publication Date
Aug 29, 1967
Accession Number
AD0666738

Entities

People

  • G. I. Laptev
  • S. G. Krein

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Hydrodynamics
  • Mathematical Analysis
  • Mathematics
  • Physics

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra

Technology Areas

  • Space