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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

Nonlinear Equations of Fourth-Order With p-Laplacian Like Operators: Oscillation, Methods and Applications fourth-order neutral nonlinear differential equation, driven by a p-Laplace differential operator. Some

Necessary and Sufficient Conditions for Solvability of an Inverse Problem for Higher-Order Differential Operators order differential operators with distribution coefficients. As a corollary of our general results, we

Characteristic boundary value problem for a fourth-order equation with a pseudoparabolic operator and with shifted arguments of the unknown function© 2015, Pleiades Publishing, Ltd. We consider a kind of Goursat problem for a fourth-order equation

ON INDIRECT REPRESENTABILITY OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATION IN FORM OF HAMILTON-OSTROGRADSKY EQUATIONSIn the paper we solve the problem on the representability of a fourth order ordinary differential

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

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