Multiplicity of symmetric positive solutions for a multipoint boundary value problem with a one-dimensional -Laplacian

Studies on a multi-point boundary value problem for second order differential equation with p-Laplacian

“…The methods used and the result in this paper are different from those in known papers [1], [2], [4]- [24]. Our theorems are new.…”

“…(1) S u n , G e and Z h a o [17], applying the monotone iterative technique and without the assumption of the existence of lower and upper solutions, obtained the existence of positive solutions for the BVP ⎧ ⎨ ⎩ [φ(x (t))] + q(t)f (t, x(t), x (t)) = 0, t∈ (0, 1), x(0) − αx (ξ) = 0, x (1) + βx(η) = 0 (2) and the iterative schemes for approximating the solutions.…”

“…In [2], F e n g and G e , applying the fixed point theorem due to Avery and Peterson, studied the existence of at least three symmetric positive solutions to the following boundary value problem…”

Existence of multiple positive solutions for nth-order p-Laplacian m-point singular boundary value problems

“…The theory of singular boundary value problems has become an important area of investigation in recent years (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and the references therein), where the solvability and the existence of positive solutions for nonlinear m-point boundary value problem have been studied by many authors. For example, by using coincidence degree theory or LeraySchauder continuation theorem, Feng et al [4] and Ma [9] studied the existence of solutions for the following m-point boundary value problem x (t) = f (t, x(t), x (t)) + e(t), 0 < t < 1,…”

“…By applying LearySchauder Continuation theorem, he obtained the existence of positive solutions to the problem (4). In recent papers [1,2,6,14,20] and [3], the authors studied p-Laplacian multipoint boundary value problem…”