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This article is cited in 3 scientific papers (total in 3 papers)
A family of two-point boundary value problems for loaded differential equations
A. T. Assanovaa, A. Zholamankyzyba a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science Republic of Kazakhstan, 125 Pushkin str., Almaty, 050010 Republic of Kazakhstan
b al-Farabi Kazakh National University, 71 Al-Farabi Ave., Almaty, 050040, Republic of Kazakhstan
Abstract:
A family of two-point boundary value problems for loaded differential equations is considered on rectangular domain. By introducing new additional functions considered problem is reduced to equivalent family problems for differential equations with parameters. Sufficient conditions of the existence unique solution to family of two-point boundary value problems for loaded differential equations are established in the terms of input data.
Keywords:
family two-point boundary value problems, loaded differential equations, differential equations with parameters, solvability.
Received: 21.09.2020 Revised: 19.12.2020 Accepted: 24.12.2020
Citation:
A. T. Assanova, A. Zholamankyzy, “A family of two-point boundary value problems for loaded differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 9, 13–24; Russian Math. (Iz. VUZ), 65:9 (2021), 10–20
Linking options:
https://www.mathnet.ru/eng/ivm9709 https://www.mathnet.ru/eng/ivm/y2021/i9/p13
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