Asymptotic of the three-point boundary-value problem solution for integrodifferential equations with small parameter.

Authors

  • A N Azanova Al-Farabi Kazakh National University
        55 44

Abstract

In the given work the three-point boundaryvalue problem for singularly perturbed integro-differential equations of the third order is studied. An algorithm for constructing uniform with respect to t ∈ [0; 1], the asymptotic approximation of the solution y(t;ε) of the problem with any degree of accuracy in a small parameter.

References

[1] Азанова А.Н. Трехточечная краевая задача для сингулярно возмущенных интегродифференциальных уравнений // Вестник КазНУ. Серия: математика, механика, информатика. – 2011. - 1(68). – С. 46-50.

[2] Касымов К.А. Cингулярно возмущенные краевые задачи с начальными скачками.– Алматы: Санат, 1997. – 195 с.

[3] Дауылбаев М.К. Линейные интегро-дифференциальные уравнения с малым параметром. Алматы: ‰аза© университетi, 2009. - 190 с.

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How to Cite

Azanova, A. N. (2011). Asymptotic of the three-point boundary-value problem solution for integrodifferential equations with small parameter. Journal of Mathematics, Mechanics and Computer Science, 71(4), 13–19. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/215