ON THE SOLVABILITY OF A THIRD-ORDER INTEGRAL m-POINT RESONANT BOUNDARY VALUE PROBLEM ON THE HALF-LINE WITH TWO DIMENSIONAL KERNEL
Existence results for a resonant third-order integral m-point boundary value problem on the half-line with dimension of the kernel of the linear differential operator equal to two are established. The tools that will be employed in this work are the Mawhin’s coincidence degree theory, relevant algebraic methods and operators. An example will also be used to illustrate our result.
coincidence degree, half-line, integral boundary value problem, m-point, resonance.