Application of existence theorems to asymptotic decompositions
By the example of a certain nonlinear boundary-value problem for a second-order hyperbolic equation we justify a new approach to the application of the Krylov-Bogolyubov-Mitropolskii asymptoti methods. For certain linear problems, we present the compatibility conditions and the relations enablinj one to construct exact solutions.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 499-501.
Citation Example: Khoma L. G. Application of existence theorems to asymptotic decompositions // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 468–470.