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On the boundedness of solutions of the equation $u''+(1+f(t))u=0$
Dynamic materials for an optimal design problem under the twodimensional wave equation
1.  Departamento de Matemáticas, ETSI Industriales, Universidad de CastillaLa Mancha, 13071 Ciudad Real, Spain 
2.  E.T.S. Ingenieros Industriales, Universidad de Castilla La Mancha 
[1] 
Pablo Pedregal. Fully explicit quasiconvexification of the meansquare deviation of the gradient of the state in optimal design. Electronic Research Announcements, 2001, 7: 7278. 
[2] 
José C. Bellido, Pablo Pedregal. Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing. Discrete & Continuous Dynamical Systems  A, 2002, 8 (4) : 967982. doi: 10.3934/dcds.2002.8.967 
[3] 
Hyeon Je Cho, Ganguk Hwang. Optimal design for dynamic spectrum access in cognitive radio networks under Rayleigh fading. Journal of Industrial & Management Optimization, 2012, 8 (4) : 821840. doi: 10.3934/jimo.2012.8.821 
[4] 
Alice Fiaschi. Rateindependent phase transitions in elastic materials: A Youngmeasure approach. Networks & Heterogeneous Media, 2010, 5 (2) : 257298. doi: 10.3934/nhm.2010.5.257 
[5] 
Alice Fiaschi. Youngmeasure quasistatic damage evolution: The nonconvex and the brittle cases. Discrete & Continuous Dynamical Systems  S, 2013, 6 (1) : 1742. doi: 10.3934/dcdss.2013.6.17 
[6] 
Yan Chen, Kewei Zhang. Young measure solutions of the twodimensional PeronaMalik equation in image processing. Communications on Pure & Applied Analysis, 2006, 5 (3) : 617637. doi: 10.3934/cpaa.2006.5.617 
[7] 
H. T. Banks, R. A. Everett, Neha Murad, R. D. White, J. E. Banks, Bodil N. Cass, Jay A. Rosenheim. Optimal design for dynamical modeling of pest populations. Mathematical Biosciences & Engineering, 2018, 15 (4) : 9931010. doi: 10.3934/mbe.2018044 
[8] 
K.F.C. Yiu, K.L. Mak, K. L. Teo. Airfoil design via optimal control theory. Journal of Industrial & Management Optimization, 2005, 1 (1) : 133148. doi: 10.3934/jimo.2005.1.133 
[9] 
Boris P. Belinskiy. Optimal design of an optical length of a rod with the given mass. Conference Publications, 2007, 2007 (Special) : 8591. doi: 10.3934/proc.2007.2007.85 
[10] 
Yannick Privat, Emmanuel Trélat. Optimal design of sensors for a damped wave equation. Conference Publications, 2015, 2015 (special) : 936944. doi: 10.3934/proc.2015.0936 
[11] 
Wei Xu, Liying Yu, GuiHua Lin, Zhi Guo Feng. Optimal switching signal design with a cost on switching action. Journal of Industrial & Management Optimization, 2017, 13 (5) : 119. doi: 10.3934/jimo.2019068 
[12] 
Bin Li, Kok Lay Teo, ChengChew Lim, Guang Ren Duan. An optimal PID controller design for nonlinear constrained optimal control problems. Discrete & Continuous Dynamical Systems  B, 2011, 16 (4) : 11011117. doi: 10.3934/dcdsb.2011.16.1101 
[13] 
Qiang Du, Jingyan Zhang. Asymptotic analysis of a diffuse interface relaxation to a nonlocal optimal partition problem. Discrete & Continuous Dynamical Systems  A, 2011, 29 (4) : 14431461. doi: 10.3934/dcds.2011.29.1443 
[14] 
Lars Grüne, Manuela Sigurani. Numerical eventbased ISS controller design via a dynamic game approach. Journal of Computational Dynamics, 2015, 2 (1) : 6581. doi: 10.3934/jcd.2015.2.65 
[15] 
Rein Luus. Optimal control of oscillatory systems by iterative dynamic programming. Journal of Industrial & Management Optimization, 2008, 4 (1) : 115. doi: 10.3934/jimo.2008.4.1 
[16] 
Stefano Luzzatto, Marks Ruziboev. Young towers for product systems. Discrete & Continuous Dynamical Systems  A, 2016, 36 (3) : 14651491. doi: 10.3934/dcds.2016.36.1465 
[17] 
Alexis De Vos, Yvan Van Rentergem. Young subgroups for reversible computers. Advances in Mathematics of Communications, 2008, 2 (2) : 183200. doi: 10.3934/amc.2008.2.183 
[18] 
Ciro D'Apice, Peter I. Kogut, Rosanna Manzo. On relaxation of state constrained optimal control problem for a PDEODE model of supply chains. Networks & Heterogeneous Media, 2014, 9 (3) : 501518. doi: 10.3934/nhm.2014.9.501 
[19] 
Jinyu Dai, ShuCherng Fang, Wenxun Xing. Recovering optimal solutions via SOCSDP relaxation of trust region subproblem with nonintersecting linear constraints. Journal of Industrial & Management Optimization, 2019, 15 (4) : 16771699. doi: 10.3934/jimo.2018117 
[20] 
Sheena D. Branton. Subactions for young towers. Discrete & Continuous Dynamical Systems  A, 2008, 22 (3) : 541556. doi: 10.3934/dcds.2008.22.541 
2018 Impact Factor: 1.143
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