Research on Nonlinear Differential Equations.

Abstract

The research described in this report deals with the existence and behavior of solutions to nonlinear differential equations in a Banach space. This includes the determination of invariant sets for solutions, relations involving inequalities between solutions, and global existence and asymptotic properties (stability) of solutions. The abstract techniques and results developed of differential equations in Banach spaces are applied to semilinear parabolic systems. These examples indicate that several classical as well as new results in the study of solutions to semilinear partial differentail equations may be obtained by abstract techniques. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 26, 1976
Accession Number
ADA033595

Entities

People

  • Robert H. Martin Jr

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Convex Sets
  • Differential Equations
  • Equations
  • Functional Analysis
  • Integral Equations
  • Integrals
  • Mathematics
  • Military Research
  • Nonlinear Differential Equations
  • Nonlinear Systems
  • North Carolina
  • Numbers
  • Personal Information Managers
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space