一类四阶两点边值问题的多重正解

Multiple Positive Solutions of Forth-Order Two-Point Boundary Value Problem

讨论一类两参数四阶两点边值问题,利用锥上的不动点指标理论及拓扑度方法,在一定条件下得到了该问题多重正解的存在性.

This paper is devoted to study the existence of multiple positive solutions of the forth-order twopoint boundary value problem with two-parameter. Through applying fixed point index and topological degree method, the multiplicity of solutions of Forth-Oder Two-Point Boundary Value Problem can be proved to exist under suitable conditions.