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A Family of Two-Point Boundary Value Problems for Loaded Differential Equations

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Abstract

A family of two-point boundary value problems for loaded differential equations is considered on a rectangular domain. By introducing new additional functions, the considered problem is reduced to an equivalent family of problems for differential equations with parameters. Sufficient existence conditions of the unique solution to the family of two-point boundary value problems for loaded differential equations are established in terms of input data.

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Funding

The work was supported by Ministry of Education and Science of Kazakhstan Republic, grant no. AP 08855726.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling,Ministry of Education and Science Republic of Kazakhstan, 125 Pushkin str., 050010, Almaty, Republic of Kazakhstan

    A. T. Assanova & A. Zholamankyzy

  2. al-Farabi Kazakh National University, 71 Al-Farabi ave., 050040, Almaty, Republic of Kazakhstan

    A. Zholamankyzy

Authors
  1. A. T. Assanova
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  2. A. Zholamankyzy
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Corresponding authors

Correspondence to A. T. Assanova or A. Zholamankyzy.

Additional information

Dedicated to the blessed memory of Academician Anatoly Mykhailovych Samoilenko

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 9, pp. 13–24.

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Assanova, A.T., Zholamankyzy, A. A Family of Two-Point Boundary Value Problems for Loaded Differential Equations. Russ Math. 65, 10–20 (2021). https://doi.org/10.3103/S1066369X21090024

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  • DOI: https://doi.org/10.3103/S1066369X21090024

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