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On differential equations with nonlocal switch functionals R. V. Shaminab a Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia b Novosibirsk State University, Novosibirsk, Russia Abstract: Systems of ordinary differential equations along with nonlocal functionals are considered. These functionals allow us to watch qualitative characteristics of solutions. It is proved that if assumptions are natural, then the switch moment can be found by means of finite difference approximations of differential equations. The results obtained are used to modify the system of equations describing surface waves of an ideal liquid in conformal variables.  Full text:
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English version: Journal of Mathematical Sciences, 2013, 190:1,  Bibliographic databases:  
UDC: 517.9 Citation: R. V. Shamin, “On differential equations with nonlocal switch functionals”, Partial differential equations, CMFD, 39, PFUR, M., 2011, 
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