CAJ | 학술논문

讨论一类具有凹-凸-凹非线性项的Dirichlet<边值问题正解的分支曲线及确切个数，在合适的假设条件下，利用时间映射分析法，给出了两种不同的正解分支曲线，其中一种是单调递增曲线，另外一种是S-型曲线，进而确定了问题正解的确切个数。
토론일류구유요-철-요비선성항적Dirichlet<변치문제정해적분지곡선급학절개수，재합괄적가설조건하，이용시간영사분석법，급출료량충불동적정해분지곡선，기중일충시단조체증곡선，령외일충시S-형곡선，진이학정료문제정해적학절개수。
Concerned is he exac mul iplicity of posi ive solu tions and bifurca tion diagrams of a Dirichle boundary value problem with a concave-convex-concave nonlinearity. Under some sui able condi tions imposed on he nonlinear erm, wo types of bifurca tion diagrams are ob ained by he analysis of ime map. One of bifurca tion diagrams is an increasing curve and he ano her one is S-shaped. Consequently, he exac mul iplicity of posi ive solu tions is de ermined.