A criterion of solvability of resonant equations and construction of their solutions. (English. Ukrainian original) Zbl 07622978
Ukr. Math. J. 71, No. 10, 1510-1521 (2020); translation from Ukr. Mat. Zh. 71, No. 10, 1321-1330 (2019).
Summary: We establish the conditions of existence and determine the general structure of solutions of resonant and iterative equations in Banach spaces and propose their algorithmic realization.
MSC:
| 47-XX | Operator theory |
| 34Axx | General theory for ordinary differential equations |
| 34Bxx | Boundary value problems for ordinary differential equations |
References:
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