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- W2077962733 abstract "Based on the coincidence degree theory of Mawhin, we get a new general existence result for the following higher-order multi-point boundary value problem at resonance $begin{gathered} x^{(n)} (t) = f(t,x(t),x'(t),...,x^{(n - 1)} (t)),t in (0,1), hfill x(0) = sumlimits_{i = 1}^m {a_i x(xi _i ),x'(0) = ... = x^{(n - 2)} (0) = 0,x^{(n - 1)} (1) = } sumlimits_{j = 1}^l {beta _j x^{(n - 1)} (eta _j )} , hfill end{gathered} $ where f: [0, 1] × ℝ n → ℝ is a Carathéodory function, 0 < ξ 1 < ξ 2 < … < ξ m < 1, α i ∈ ℝ, i = 1, 2, …, m, m ≥ 2 and 0 < η 1 < … < η l < 1, β j ∈ ℝ, j = 1, …, l, l ≥ 1. In this paper, two of the boundary value conditions are responsible for resonance." @default.
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- W2077962733 date "2011-12-01" @default.
- W2077962733 modified "2023-09-26" @default.
- W2077962733 title "Solvability of a higher-order multi-point boundary value problem at resonance" @default.
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- W2077962733 doi "https://doi.org/10.1007/s10492-011-0033-0" @default.
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