Uaissov A. B.
Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations
Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1466-1479
We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential equations of the third order with small parameters at the two highest derivatives. The asymptotic convergence of the solution of a singularly perturbed integrodifferential boundary-value problem to the solution of the corresponding modified degenerate boundary-value problem is proved.
Asymptotic estimates for the solutions of boundary-value problems with initial jump for linear differential equations with small parameter in the coefficients of derivatives
Ukr. Mat. Zh. - 2013. - 65, № 5. - pp. 629–641
We establish asymptotic estimates for the solutions of singularly perturbed boundary-value problems with initial jumps.