On a Singular Second-Order Multipoint Boundary Value Problem at Resonance

Abstract

The aim of this paper is to derive existence results for a second-order singular multipoint boundary value problem at resonance using coincidence degree arguments.

On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line

“…They applied the coincidence degree arguments to obtain existence results in a bounded domain. For other works on a bounded domain, see [4][5][6][7].…”

Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel

“…López-Somoza and Minhós [4] obtained existence results for a resonant multi-point second-order boundary value problem on the half-line, Capitanelli, Fragapane and vivaldi [5] addressed regularity results for p-Laplacians in prefractal domains, while Jiang and Kosmatov [6] considered resonant p-Laplacian problems with functional boundary conditions. For other work on resonant problems without p-Laplacian operator, see [7][8][9][10], while for problems with the p-Laplacian operator, see [11][12][13][14][15][16]. In [17], Jiang considered the following p-Laplacian operator:…”

ON THE SOLVABILITY OF A THIRD-ORDER INTEGRAL m-POINT RESONANT BOUNDARY VALUE PROBLEM ON THE HALF-LINE WITH TWO DIMENSIONAL KERNEL

“…Mawhin's continuation theorem [8] is used to study cases where L is linear. Many authors have recently considered the problem of existence of solutions for resonant boundary value problems when the dimension of the linear operator is either one or two, see [1,6,12,9,3,7,13]. However, to the best of our knowledge, only few authors in the literature have considered boundary value problems having integral boundary conditions with dimension of the kernel of the linear operator equal to two, see [11,2].…”