On the Density of the Range for Some Superquadratic Operators.

Abstract

During the past few years there has been a considerable amount of research on the existence of multiple solution of superlinear differential equations. By superlinear is meant the equations possess a nonlinearity which grows more rapidly than linearly at infinity. This research has been done in the setting of boundary value problems for semilinear elliptic partial differential equations, and preriodicity problems for Hamiltonian systems of ordinary differential equations and semilinear wave equations. Keywords: Periodic solutions; Operators(mathematics); Nonlinear hyperbolic equations; Leray Schauder theorem; Ordinary differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA160978

Entities

People

  • Yiming Long

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Differential Equations
  • Equations
  • Mathematics
  • Nonlinear Differential Equations
  • North Carolina
  • Partial Differential Equations
  • Periodic Functions
  • Periodic Variations
  • United States
  • Wave Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra