Spectral Properties of the Fourth Order Differential Operator with Integral ConditionsAbstract: We consider an ordinary
fourth-order differential equation with a spectral parameter
Operational matrix approach for solving variable-order fractional integro-differential equationsIn this paper, we use shifted
fourth-kind Chebyshev polynomials to construct the
operational matrix
Counterexample to Barcilon’s Uniqueness Theorem for the Fourth-Order Inverse Spectral Problem in the inverse spectral theory for higher-
order differential operators. The example is obtained by a finite
McLaughlin’s Inverse Problem for the Fourth-Order Differential Operator of the
fourth-order differential operator from the eigenvalues and two sequences of norming constants. We prove
Solving Barcilon's inverse problems by the method of spectral mappings of this paper can be generalized to
differential operators of
orders greater than 4 and used for further
Existence of solutions for some non-Fredholm integro-differential equations with the bi-Laplacian spaces using the fixed-point technique where the elliptic equation contains
fourth-order differential