Multiple Solutions for Systems of Multi-point Boundary Value Problems

نویسندگان

  • John R. Graef
  • Shapour Heidarkhani
  • Vicentiu D. Radulescu
چکیده

where pi > 1 and φpi(t) = |t|pi−2t for i = 1, . . . , n, λ is a positive parameter, m, n ≥ 1 are integers, aj , bj ∈ R for j = 1, . . . ,m, and 0 < x1 < x2 < x3 < . . . < xm < 1. Here, F : [0, 1] × R → R is a function such that the mapping (t1, t2, . . . , tn) → F (x, t1, t2, . . . , tn) is in C in R for all x ∈ [0, 1], Fti is continuous in [0, 1]× R for i = 1, . . . , n, where Fti denotes the partial derivative of F with respect to ti, and F (x, 0, . . . , 0) = 0 for all x ∈ [0, 1].

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تاریخ انتشار 2013