Unicity of meromorphic solutions of partial differential equations Article

Hu, PC, Li, BQ. (2011). Unicity of meromorphic solutions of partial differential equations . Journal of Mathematical Sciences, 173(2), 201-206. 10.1007/s10958-011-0242-9

cited authors

  • Hu, PC; Li, BQ

abstract

  • In this survey, results on the existence, growth, uniqueness, and value distribution of meromorphic (or entire) solutions of linear partial differential equations of the second order with polynomial coefficients that are similar or different from that of meromorphic solutions of linear ordinary differential equations have been obtained. We have characterized those entire solutions of a special partial differential equation that relate to Jacobian polynomials. We prove a uniqueness theorem of meromorphic functions of several complex variables sharing three values taking into account multiplicity such that one of the meromorphic functions satisfies a nonlinear partial differential equations of the first order with meromorphic coefficients, which extends the Brosch's uniqueness theorem related to meromorphic solutions of nonlinear ordinary differential equations of the first order. © 2011 Springer Science+Business Media, Inc.

authors

publication date

  • February 1, 2011

published in

Digital Object Identifier (DOI)

start page

  • 201

end page

  • 206

volume

  • 173

issue

  • 2