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Asymptotic behavior of solutions to a coupled system of Maxwell's equations and a controlled differential inclusion
1.  Department of Mathematics and Mechanics, SaintPetersburg State University, SaintPetersburg, 198504, Russian Federation, Russian Federation 
References:
[1] 
G. Duvant and J.L. Lions, "Inequalities in Mechanics and Physics," Springer  Verlag, Berlin, 1976. Google Scholar 
[2] 
D. Kalinichenko, V. Reitmann and S. Skopinov, Stability and bifurcations in a finite time interval on variational inequalities, Differential Equations, 48, no. 13 (2012), 112. Google Scholar 
[3] 
Y. Kalinin, V. Reitmann and N. Yumaguzin, Asymptotic behavior of Maxwell's equation in onespace dimension with thermal effect, Discrete and Continuous Dynamical Systems  Supplement 2011, 2 (2011), 754762. Google Scholar 
[4] 
A.L. Likhtarnikov and V.A. Yakubovich, The frequency theorem for equations of evolutionary type, Siberian Math. J., 17 (1976), 790803. Google Scholar 
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R.V. Manoranjan, H.M. Yin and R. Showalter, On twophase Stefan problem arising from a microwave heating process, Contin. and Discrete Dynamical Systems, Serie A, 15 (2006), 11551168. Google Scholar 
[6] 
A.N. Michel and D.W. Porter, Practical stability and finitetime stability of discontinuous systems, IEEE Trans. Circuit Theory, 19 (1972), 123129. Google Scholar 
[7] 
A.A. Pankov, "Bounded and Almost Periodic Solutions of Nonlinear Differential Operator Equations," Naukova Dumka, Kiev, 1986 (in Russian). Google Scholar 
[8] 
H. Triebel, "Interpolation Theorie, Function Spaces, Differential Operators," Amsterdam, NorthHolland, 1978. Google Scholar 
[9] 
L. Weiss and E.F. Infante, On the stability of systems defined over a finite time interval, Proc. Nat. Acad. Sci., U.S.A., 54 (1965), 4448. Google Scholar 
show all references
References:
[1] 
G. Duvant and J.L. Lions, "Inequalities in Mechanics and Physics," Springer  Verlag, Berlin, 1976. Google Scholar 
[2] 
D. Kalinichenko, V. Reitmann and S. Skopinov, Stability and bifurcations in a finite time interval on variational inequalities, Differential Equations, 48, no. 13 (2012), 112. Google Scholar 
[3] 
Y. Kalinin, V. Reitmann and N. Yumaguzin, Asymptotic behavior of Maxwell's equation in onespace dimension with thermal effect, Discrete and Continuous Dynamical Systems  Supplement 2011, 2 (2011), 754762. Google Scholar 
[4] 
A.L. Likhtarnikov and V.A. Yakubovich, The frequency theorem for equations of evolutionary type, Siberian Math. J., 17 (1976), 790803. Google Scholar 
[5] 
R.V. Manoranjan, H.M. Yin and R. Showalter, On twophase Stefan problem arising from a microwave heating process, Contin. and Discrete Dynamical Systems, Serie A, 15 (2006), 11551168. Google Scholar 
[6] 
A.N. Michel and D.W. Porter, Practical stability and finitetime stability of discontinuous systems, IEEE Trans. Circuit Theory, 19 (1972), 123129. Google Scholar 
[7] 
A.A. Pankov, "Bounded and Almost Periodic Solutions of Nonlinear Differential Operator Equations," Naukova Dumka, Kiev, 1986 (in Russian). Google Scholar 
[8] 
H. Triebel, "Interpolation Theorie, Function Spaces, Differential Operators," Amsterdam, NorthHolland, 1978. Google Scholar 
[9] 
L. Weiss and E.F. Infante, On the stability of systems defined over a finite time interval, Proc. Nat. Acad. Sci., U.S.A., 54 (1965), 4448. Google Scholar 
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