Existence of positive solutions for the system of higher order two-point boundary value problems

Multiplicity of positive solutions for coupled system of fractional differential equation with p-Laplacian two-point BVPs

“…The multiple positive solutions of boundary value problems associated with ordinary differential equations were studied by many authors-see Agarwal et al [1], Henderson and Ntouyas [9], and Prasad and Rao [15] and extended to pLaplacian boundary value problems Avery and Henderson [4], Wang and Hou [19], and Yang and Yan [20]. Later, these results are further extended to fractional order boundary value problems Ahmad and Nieto [2], Anderson and Avery [3], Bai and Sun [7], Goodrich [8], Rao [13], and Su [18] by applying various fixed point theorems on cones.…”

Existence and non-existence of positive solutions of Sturm–Liouville BVPs for ODEs on whole line

“…Since then, more general nonlocal boundary value problems (BVPs) were studied by several authors, see the text books [1,11,13], the papers [15,16,18,19,26] and the references cited there.…”

Existence and non-existence of positive solutions of four-point BVPs for ODEs on whole line

“…Since then, more general nonlocal boundary value problems (BVPs) were studied by several authors, see the text books [1,11,13], the papers [26], and the survey papers [17,18] and the references cited there. However, the study on existence of positive solutions of nonlocal boundary value problems for B Yuji Liu liuyuji888@sohu.com; yujiliu@126.com Y. Liu differential equations on whole real lines does not seem to be sufficiently developed [2][3][4][5][6]27] and the references therein.…”