The boundary value problemDαu(t) + μa(t)f(t, u(t)) ? q(t) = 0,u(0) = u′(0) = · · · = u(n?2)(0) = 0, u(1) = λ∫10u(s) dsis studied, where μ is a positive parameter, f : [0, 1] × [0; +∞) → [0; +∞) and a : (0, 1) → [0, +∞)are continuous functions, while q : (0, 1) → [0, +∞) is a measurable function. The case, where thefunction a has singularities at the points t = 0 and t = 1, is admissible.Conditions are found guaranteeing, respectively, the existence of at least one and at least twopositive solutions. Examples are gives.1.
展开▼
