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

作者：Du Zengji^*; Yin Jian

来源：Filomat, 2014, 28(7): 1437-1444.

DOI：10.2298/FIL1407437D

• Sturm-Liouville boundary value problem
• Integral boundary conditions
• Resonance
• Coincidence degree theory

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.

• 出版日期2014