Estimations and specific asymptotic stability of solutions of linear homogeneous Volterra integrodifferential equation of fifth-order.

Authors

  • S Iskandarov ИТПМ НАН Кыргызской Республики, КНУ им. Ж. Баласагына, Бишкек, Кыргызстан
  • Z A Japarova ИТПМ НАН Кыргызской Республики, КНУ им. Ж. Баласагына, Бишкек, Кыргызстан

Keywords:

линейные интегро-дифференциальные уравнения типа Вольтерра, асимптотическая устойчивость.

Abstract

We establish sufficient conditions that guarantee the estimates, the asymptotical and exponential stability of solutions of linear homogeneous Volterra integro-differential equation of fifth order in the case, than all nontrivial solutions of the corresponding linear homogeneous differential equation of fifth order are asymptotical and exponential instability.

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Issue

Vol. 73 No. 2 (2012): Journal of Mathematics, Mechanics and Computer Science

Section

Mathematics

How to Cite

Estimations and specific asymptotic stability of solutions of linear homogeneous Volterra integrodifferential equation of fifth-order. (2012). Journal of Mathematics, Mechanics and Computer Science, 73(2), 22-30. https://bm.kaznu.kz/index.php/kaznu/article/view/133