EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS IN BANACH SPACES,

Abstract

Conditions are obtained for certain nonlinear differential equations in a Banach space to possess a unique almost periodic solution which is positively asymptotically stable and negatively unstable. The streatment rests mainly on careful study of certain mappings between the space of almost periodic functions and the space of generalized almost periodic functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1964
Accession Number
AD0437291

Entities

People

  • C. T. Taam

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Nonlinear Differential Equations
  • Periodic Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space