# American Institute of Mathematical Sciences

March  2017, 7(1): 89-94. doi: 10.3934/naco.2017005

## 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

Received  January 2016 Published  February 2017

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.

Citation: Gafurjan Ibragimov, Askar Rakhmanov, Idham Arif Alias, Mai Zurwatul Ahlam Mohd Jaffar. The soft landing problem for an infinite system of second order differential equations. Numerical Algebra, Control & Optimization, 2017, 7 (1) : 89-94. doi: 10.3934/naco.2017005
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