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Second-order equations from a second-order formalism
Journal of Mathematical Physics, 1989It is often assumed that Lagrangians of gravitation that are quadratic in the curvature tensor produce field equations of fourth differential order in the metric tensor from a Hilbert variational principle. It is shown here, for the Lagrangian given by R+RμνRμν, that independent variations of the metric tensor and the torsion tensor produce ...
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ON SECOND ORDER DIFFERENTIAL OPERATORS
The Annals of Mathematics, 1955Nevertheless, (1.2) is meaningful only under differentiability conditions which are unnatural for (1.1). An adjoint to (1.1) exists always, but it cannot be written in terms of derivatives with respect to x. The characteristic property of A appears to be (1) that it is of local character, (2) that whenever f has a local minimum at xo and f(xo) = 0 ...
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Fractional-order autonomous circuits with order larger than one
Journal of Advanced Research, 2020Xujian Shu, Zhihao Wei, Bo Zhang
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Review of second-order models for adsorption systems
Journal of Hazardous Materials, 2006Yuh-Shan Ho
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Prediction from Molecular Shape of Solute Orientational Order in Liquid Crystals
Chemical Reviews, 1998C A De Lange, E E Burnell
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Pseudo-second order model for sorption processes
Process Biochemistry, 1999Gordon Mckay, Y S Ho
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Lyapunov functions for fractional order systems
Communications in Nonlinear Science and Numerical Simulation, 2014Javier Gallegos +2 more
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