Multidimensional Hilbert-type inequalities with a homogeneous kernel.
Vuković, Predrag (2009)
Journal of Inequalities and Applications [electronic only]
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Vuković, Predrag (2009)
Journal of Inequalities and Applications [electronic only]
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Tuo-Yeong Lee (2011)
Mathematica Bohemica
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Several new integrability theorems are proved for multiple cosine or sine series.
Khelifi, Abdessatar (2007)
Applied Mathematics E-Notes [electronic only]
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Changjian, Zhao, Cheung, Wing-Sum (2008)
Journal of Inequalities and Applications [electronic only]
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Tomiczek, Petr (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yang, Bicheng (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Elena Karulina (2011)
Mathematica Bohemica
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We consider the Sturm-Liouville problem with symmetric boundary conditions and an integral condition. We estimate the first eigenvalue of this problem for different values of the parameters.
Cañada, A., Ureña, A.J. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Vitali Dymkou, Michael Dymkov (2003)
International Journal of Applied Mathematics and Computer Science
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This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes. ...