A Second Order Differential Equation With Generalized Sturm--Liouville Integral Boundary Conditions at Resonance


Zengji Du, Jian Yin




By using Mawhin coincidence degree theory, we investigate the existence of solutions for a class of second order nonlinear differential equations with generalized Sturm--Liouville integral boundary conditions at resonance. The results extend some known conclusions of integral boundary value problem at resonance for nonlinear differential equations.