On $A^4+h{B}^4=C^4+h{D}^4$

Abstract

In this paper, this author proved that $A^4+h{B}^4=C^4+h{D}^4$ always has the integral solutions for $h<20000.$ Then we conjecture the equation $A^4+h{B}^4=C^4+h{D}^4$ always has the integral solutions.