Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Dmitriy K. Potapov"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 140,, Pp 1-10 (2017)
We consider a system of ordinary differential equations with nonlinearity describing relay hysteresis under sinusoidal external influence. Theorems on sufficient conditions for the existence of subharmonic solutions to the system being investigate
Externí odkaz:
https://doaj.org/article/76329972abdf49cfb61188f8524f0a17
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 124,, Pp 1-9 (2016)
We consider an ordinary differential equation of second order with constant coefficients and a discontinuous right-hand side. First we use the point mapping method defining first return functions, then we use the phase-plane method. We establish b
Externí odkaz:
https://doaj.org/article/3247c7c5324741e7af39a4721f470bfa
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 04,, Pp 1-8 (2016)
We consider a second-order differential equation with discontinuous nonlinearity and sinusoidal external influence, and obtain conditions for the non-existence of periodic solutions.
Externí odkaz:
https://doaj.org/article/b546141480d742a2b129babfb3f3f9e8
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 221,, Pp 1-6 (2014)
We consider an ordinary differential equation of second order with discontinuous nonlinearity relative to the phase variable. Phase trajectories are studied. We establish a theorem on the existence of a continuum set for nontrivial solutions and t
Externí odkaz:
https://doaj.org/article/9d870e6620ad4841b30de8f96f56680b
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 255,, Pp 1-6 (2013)
We study the Lavrent'ev mathematical model for separated flows with an external perturbation. This model consists of a differential equation with discontinuous nonlinearity and a boundary condition. Using a variational method, we show the existenc
Externí odkaz:
https://doaj.org/article/c5cfb4f288984156a89a1cca8aa53cc1
Autor:
Dmitriy K Potapov
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 16, Iss 1, Pp 251-255 (2012)
We study the existence of solutions of eigenvalue problems for elliptic equations of the second order with nonlinearity discontinuous with respect to a phase variable. Using the variational method, we receive the theorems on number of solutions for i
Externí odkaz:
https://doaj.org/article/2f56e09bff5f480480a704e552e56f85
Autor:
Dmitriy K Potapov
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 16, Iss 3, Pp 188-190 (2012)
The eigenvalue problems for equations of elliptic type with discontinuous by the phase variable nonlinearities are considered. The character of nonlinearity discontinuities is investigated. In this paper the restrictions on discontinuity points of no
Externí odkaz:
https://doaj.org/article/595beab60a7e434db3e1ebd1f40d1567