Thirdly , we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ] , applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ] . references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case 再次,利用bolle在文獻(xiàn)[ 4 ]中提出的、被應(yīng)用于文獻(xiàn)[ 5 ] [ 6 ]以及在文獻(xiàn)[ 7 ]中被推廣的一種新的擾動方法得到問題即不帶參數(shù)的對稱共振非齊次邊值擾動問題的多重解,在文獻(xiàn)[ 5 ] [ 6 ]中討論了非線性項(xiàng)為摘要幾種特殊情形的情況,此部分討論非線性項(xiàng)為一般情形的情況