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A second order differential equation with generalized Sturm-Liouville integral boundary conditions at resonance

Du Zengji (Jiangsu Normal University, Xuzhou, School of Mathematics and Statistics, Jiangsu, P.R. China)
Yin Jian (Jiangsu Normal University, Xuzhou, School of Mathematics and Statistics, Jiangsu, P.R. China)

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

Keywords: Sturm-Liouville boundary value problem, integral boundary conditions, resonance, coincidence degree theory