SOLVABILITY OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS AT RESONANCE INVOLVING INTEGRAL CONDITIONS

作者：Cui Yujun^*

来源：Electronic Journal of Differential Equations, 2012, 45.

• Coincidence degree
• integral boundary-value problem
• resonance

This article concerns the second-order differential equation with integral boundary conditions
x ''(t) = f(t,x(t), x'(t)), t is an element of (0, 1),
x(0) = integral(1)(0)x(s)d alpha(s), x(1) =integral(1)(0)x(s)d beta(s).
Under the resonance conditions, we construct a projector and then applying coincidence degree theory to establish the existence of solutions.

• 出版日期2012-3-20
• 单位山东大学