Abstract：Let a and b be positive integers with square free， and let k be a positive integer with k≡1 or 2(mod4). In the case that a＝k(k＋1) and b is even，by elementary number theory methods and the properties of solutions of Pell equations， a sufficient and necessary condition that the system of equations x2－ay2＝1and y2－bz2＝4 have positive integer solutions is given.
谷 秀 川. 一类Pell方程组正整数解的存在性[J]. 华中师范大学学报(自然科学版), 2018, 52(5): 619-621.
GU Xiuchuan. Existence of solution for the system of Pell equations. journal1, 2018, 52(5): 619-621.
2018, Vol. 52 
