Differential equations with multiple sign changing convolution coefficients

For continuous functions A and B, which are allowed to change sign, we consider the nonlocal differential equation −A((a ∗ uq)(1))u″(t) = λB((b ∗ up)(1))f(t,u(t)),t ∈ (0, 1), where p, q ∈ (1, +∞) a...