The soft landing problem for an infinite system of second order differential equations

Gafurjan Ibragimov; Askar Rakhmanov; Idham Arif Alias; Mai Zurwatul Ahlam Mohd Jaffar

doi:10.3934/naco.2017005

Article Contents

2017, Volume 7, Issue 1: 89-94. Doi: 10.3934/naco.2017005

This issue Previous Article Effective approximation method for solving linear Fredholm-Volterra integral equations Next Article Adaptive order of block backward differentiation formulas for stiff ODEs

The soft landing problem for an infinite system of second order differential equations

1.
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia
2.
Department of Informatics, Tashkent University of Information Technologies, Tashkent, Uzbekistan

* Corresponding author: Gafurjan Ibragimov
* Corresponding author: Gafurjan Ibragimov

Received: January 2016

Published: May 2017

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Abstract

We study a soft landing differential game problem for an infinite system of second order differential equations. Control functions of pursuer and evader are subject to integral constraints. The pursuer tries to obtain equations $z(τ)=0$ and $\dot z(τ)=0$ at some time $τ > 0$ and the purpose of the evader is opposite. We obtain a condition under which soft landing problem is not solvable.

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Mathematics Subject Classification: Primary: 91A23; Secondary: 49N75.

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References

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