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Rabinowitz, P.H. (1986) Minimax Methods in Critical Point Theory with Applications to Differential Equations. CBMS Regional Conference Series in Mathematics, American Mathematical Society, Providence, Vol. 65.

has been cited by the following article:

• TITLE: Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem

  AUTHORS: Yuhua Long, Baoling Zeng

  KEYWORDS: Sign-Changing Solution, Difference Equation, Dirichlet Boundary Value Problem, Invariant Sets of Descending Flow

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.11, November 23, 2017

  ABSTRACT: Using invariant sets of descending flow and variational methods, we establish some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for second-order nonlinear difference equations with Dirichlet boundary value problem. Some results in the literature are improved.