4th International Conference on Analysis and Applied Mathematics (ICAAM), Mersin, Turkey, 6 - 09 September 2018, vol.1997
This paper is concerned with the eigenfunctions expansions of fourth-order differential equations with impulse. Applying the Fourier series approach we find a solution of this problem and establish a uniformly convergent expansion formula in the eigenfunctions. It is necessary in applications to construct such eigenfunctions and discuss the convergence of expansions.