ON THE ENTIRE SOLUTIONS OF A CERTAIN CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS.

Abstract

By using the fundamental theorems of Nevanlinna theory for meromorphic functions, one can determine whether the following type of nonlinear differential equation P sub n (Z) (f sup n) (Z) + P sub (n-1) (Z) f sup (n-1) (Z) + ... + P sub 1 (Z) f (Z) + P sub 0 (Z) + f1 (Z) = Q sub 1 (Z)(e to the power mp(Z)) + Q sub 2 (Z)(e to the power kp(Z)), has entire solutions or not, where p(z), (P sub i)(Z) (i = 0, 1, 2, ... n) and (Q sub j)(Z) (j = 1, 2) are polynomials, and m and k are integers. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 19, 1970
Accession Number
AD0710744

Entities

People

  • Chung-chun Yang

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Meromorphic Functions
  • Nonlinear Differential Equations

Readers

  • Analytical Mechanics
  • Linear Algebra