关键词: 四阶半正边值问题, 存在性, 分歧理论, 拓扑度理论, 正解

Abstract:

Employing bifurcation theory and topological theory, we studied the positive solutions for the fourthorder two point semipositone boundary value problemwhere λ is a positive parameter, f: ［0,1］×［0,+∞)→R is continuous, and we obtained a new existence result of positive solutions with the nonlinearity satisfying asymptotically linear growth condition at infinity.

Key words: fourthorder semipositone boundary value problem, existence, bifurcation technique, topological theory, positive solutions