PERIODIC SOLUTIONS OF A NONLINEAR NON-DISSIPATIVE WAVE EQUATION.

Abstract

This paper concerns an existence proof of solutions of the partial differential equation. The main difficulty is solving an associated infinite dimensional bifurcation equation. It is also shown how to find a solution by an expansion method if F is real analytic in u and a convergence proof for the formal series constructed is supplied. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1965
Accession Number
AD0471468

Entities

People

  • Paul H. Rabinowitz

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Convergence
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Partial Differential Equations
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)