In this paper, we study the existence of nodal solutions for the following problem： -（φp（x＇））＇=α（t）φp（x＋）＋β（t）φp（x-）＋ra（t）f（x）,0〈t〈1,x（0）=x（1）=0,where φp（s）=｜s｜p-2x,α∈ C（[0,1],...In this paper, we study the existence of nodal solutions for the following problem： -（φp（x＇））＇=α（t）φp（x＋）＋β（t）φp（x-）＋ra（t）f（x）,0〈t〈1,x（0）=x（1）=0,where φp（s）=｜s｜p-2x,α∈ C（[0,1],（0,∞））,x＋=max{x,0},x-=-min{x,0},α（t）,β（t）∈C[0,1];f∈C（■,■）,sf（s）〉0 for s≠0,and f0,f∞∈（0,∞）,where f0=lim f（s）/φ p（s）,f∞=lim｜s｜→＋∞f（s）/φp（s）.We use bifurcation techniques and the approximation of connected components to prove our main results.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11561038)the Natural Science Foundation of Gausu Province(Grant No.145RJZA087)
文摘In this paper, we study the existence of nodal solutions for the following problem： -（φp（x＇））＇=α（t）φp（x＋）＋β（t）φp（x-）＋ra（t）f（x）,0〈t〈1,x（0）=x（1）=0,where φp（s）=｜s｜p-2x,α∈ C（[0,1],（0,∞））,x＋=max{x,0},x-=-min{x,0},α（t）,β（t）∈C[0,1];f∈C（■,■）,sf（s）〉0 for s≠0,and f0,f∞∈（0,∞）,where f0=lim f（s）/φ p（s）,f∞=lim｜s｜→＋∞f（s）/φp（s）.We use bifurcation techniques and the approximation of connected components to prove our main results.
