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Existence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method

Existence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method

In this article, we study a nonlinear fourth-order differential equation two-point boundary value problem.We use monotone iterative technique and lower and upper solutions of completely continuous operators to get the existence of nontrivial solutions for the problem.The results can guarantee the existence of nontrivial sign-changing solutions and positive solutions, and …