In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:<br /> <img src="Edit_1ba3ab24-dbef-4a90-8fe1-dc466461e2e3.bmp" alt="" /> <span style...In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:<br /> <img src="Edit_1ba3ab24-dbef-4a90-8fe1-dc466461e2e3.bmp" alt="" /> <span style="white-space:normal;">where <span style="white-space:nowrap;">f <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ C([0,1]×[0,+∞),[0,+∞)) <span style="white-space:nowrap;">α <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ [0,6) and <img src="Edit_35fdded4-50be-48af-b9e0-1e97c719aeba.bmp" alt="" /> . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.展开更多
文摘In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:<br /> <img src="Edit_1ba3ab24-dbef-4a90-8fe1-dc466461e2e3.bmp" alt="" /> <span style="white-space:normal;">where <span style="white-space:nowrap;">f <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ C([0,1]×[0,+∞),[0,+∞)) <span style="white-space:nowrap;">α <span style="white-space:nowrap;"><span style="white-space:nowrap;">∈ [0,6) and <img src="Edit_35fdded4-50be-48af-b9e0-1e97c719aeba.bmp" alt="" /> . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.
