On the solvability of two-point, second-order boundary value problems

Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions

“…Our results extend those of [25] from the nonimpulsive case to the impulsive case. Our approach using differential inequalities is based on ideas in [24,25].…”

“…Our approach using differential inequalities is based on ideas in [24,25]. Moreover, our new results complement and extend those of [26][27][28] in the sense that we allow superlinear growth of f (t, p, q) in p and q .…”

“…Inspired by [21,24,25], in this paper, we investigate the following second-order impulsive nonlinear differential equations with periodic boundary value conditions problem:…”

Loss of positivity in a nonlinear second order ordinary differential equations

“…We refer the reader to [3][4][5][6][7][8][9][10][11][12][13] for other recent results on nonlinear multi-point boundary value problems. This paper is mainly concerned with the existence of nonzero solutions to the generalized boundary value problem such as…”

Uniqueness of solutions for third-order two-point boundary value problems

“…The existence and multiplicity of BVPs have been studied extensively, we refer the reader to [1][2][3][4][5][6][8][9][10] and their references. We note that the uniqueness of solutions for third-order BVPs are studied very less.…”