Under some suitable conditions on a positive function f (t, u), we get the boundary value problem of the form: {(E) uDeltaDelta(t)+f(t,u(sigma,(t)) = 0, 0 < t < 1, (BC) {alphau(0) -betau(Delta)(0) = 0, (BVP) gammau(sigma(1)) + deltauDelta(sigma(1)) = 0, h