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Under some suitable assumptions, we show that the n + 2 order non-linear boundary value problems (E 1) [φ p (u (n) (t))] = f (t, u(t), u (1) (t),. .. , u (n+1) (t)) u (n−1) (1) = 0 u (n−2) (0) = λu (n−1) (η) u (n+1) (0) = α 1 u (n+1) (ξ) u (n) (1) = β 1 u (n) (ξ) and (BVP 2) (E 2) [φ p (u (n) (t))] = f (t, u(t), u (1) (t),. .. , u (n+1) (t)) u (n−1) (0) = 0… (More)

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