Abstract We study a double phase Neumann problem with superlinear reaction which need not satisfy the Ambrosetti-Rabinowitz condition. Using Nehari manifold method, we show that has at least three nontrivial bounded ground state solutions, all sign information (positive, negative and nodal).

in this paper, the bernstein polynomials are used to approximate the solutions of linear integral equations with multiple time lags (iemtl) through expansion methods (collocation method, partition method, galerkin method). the method is discussed in detail and illustrated by solving some numerical examples. comparison between the exact and approximated results obtained from these methods is...