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This paper deals with the fourth-order p-Laplace boundary value problem of resonance ( ( ( ))) ( , ( ), ( )), 0 1 (0) 0, (1) ( ), (0) 0, (1) ( ) p x t f t x t x t t x x ax x x bx φ x η ′′ ′′ ′ = < <   ′′ ′′ ′′ = = = =  where 0 , 1; , 0 a b x η < < > such that 1 ax = and 1 1 p b η − ≤ . The existence of solution is obtained by means of Mawhins continuation theorem.

On the Existence of Solutions to Boundary Value Problem of Resonance Fourth-order p-Laplace with One Order Derivative