Permutation　polynomials　with　low　c-differential　uniformity　had　wide　applications　in　cryptography　and　design　theory.　In　this　paper,　by　utilizing　the　Weil　sums　technique　and　solving　some　certain　equations　over　Fp2m,　we　concentrate　on　characterizing　five　classes　of　perfect　c-nonlinear　(PcN)　permutation　polynomials　of　the　form　(xpm-x+δ)s+x　over　finite　fields　with　odd　characteristic.　Firstly,　two　classes　of　PcN　permutation　polynomials　are　obtained　over　F3n.　Secondly,　we　characterize　the　permutation　property　of　a　class　of　polynomials　with　aforementioned　form　by　using　the　AGW　criterion.　Finally,　three　classes　of　PcN　permutation　polynomials　are　determined　over　Fp2m　with　odd　characteristic.　©　The　Author(s)　under　exclusive　licence　to　Sociedade　Brasileira　de　Matemática　Aplicada　e　Computacional　2025.