On the correctness of non-local boundary value problems with an integral condition for fourth-order quasi-hyperbolic equations
DOI:
https://doi.org/10.70474/2024-2-01Keywords:
Quasi-hyperbolic equations, non-local problems, integral conditions, regular solutions, uniqueness and non-uniqueness of a solution, existence and non-existence of a solutionAbstract
This paper presents results on the correctness (uniqueness and non-uniqueness, existence and non-existence of solutions) of non-local boundary value problems with partially integral conditions with respect to the time variable for fourth-order quasi-hyperbolic differential equations. The influence of the spectral parameter and the behavior of the integrand on the solvability of the non-local problem are also determined.
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