Berczes, AttilaLe, MaohuaPink, IstvanSoydan, Gokhan2024-06-262024-06-262021-01-011224-1784https://doi.org/10.2478/auom-2021-0020https://hdl.handle.net/11452/42465Let N be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x(2) - y(2m) = z(n), x, y, z, m, n is an element of N, gcd(x, y) = 1, m >= 2, n >= 3.eninfo:eu-repo/semantics/closedAccessHigher diophantine equationExponential diophantine equationGeneralized fermat equationTernary equationScience & technologyPhysical sciencesMathematics, appliedMathematicsMathematicsArticle0006725900000059310529210.2478/auom-2021-0020