【摘要】 延续Yang和Zhang[Nonlinear Anal,2008,69:1364-1375]的工作,研究了带有参数的某四阶边值问题非平凡解的存在性.对于此边值问题的非线性项,不改变其在无穷远处的条件,只是改变了在零点处的条件,综合利用临界点理论,收缩性质及流不变集理论,得到了正解、负解及变号解的存在性.更多还原

【Abstract】 A sequel to Yang,Zhang [Nonlinear Anal,2008,69: 1364-1375.] in which nontrivial solutions for the fourth order boundary value problems are studied. Now under the same conditions near infinity,but different from the conditions near zero,positive, negative,and sign-changing solutions are obtained by combining critical point theory,retracting property and invariant sets.更多还原