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Linear, linearisable and integrable nonlinear PDEsDimakos, Michail January 2013 (has links)
No description available.
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A solution of Euler's geometric equations for the motion of a rigid body with a fixed point under no forcesRenehan, Dolphus January 1927 (has links)
No description available.
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Riccati Equations in Optimal Control TheoryBellon, James 21 April 2008 (has links)
It is often desired to have control over a process or a physical system, to cause it to behave optimally. Optimal control theory deals with analyzing and finding solutions for optimal control for a system that can be represented by a set of differential equations. This thesis examines such a system in the form of a set of matrix differential equations known as a continuous linear time-invariant system. Conditions on the system, such as linearity, allow one to find an explicit closed form finite solution that can be more efficiently computed compared to other known types of solutions. This is done by optimizing a quadratic cost function. The optimization leads to solving a Riccati equation. Conditions are discussed for which solutions are possible. In particular, we will obtain a solution for a stable and controllable system. Numerical examples are given for a simple system with 2x2 matrix coefficients.
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Group analysis of the nonlinear dynamic equations of elastic stringsPeters, James Edward, II 08 1900 (has links)
No description available.
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Skew-product semiflows and time-dependent dynamical systemsLeiva, Hugo 12 1900 (has links)
No description available.
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Electromagnetic scattering using the integral equation-asymptotic phase methodAberegg, Keith R. 12 1900 (has links)
No description available.
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Numerical analysis of some integral equations with singularitiesThomas, Sophy Margaret January 2006 (has links)
In this thesis we consider new approaches to the numerical solution of a class of Volterra integral equations, which contain a kernel with singularity of non-standard type. The kernel is singular in both arguments at the origin, resulting in multiple solutions, one of which is differentiable at the origin. We consider numerical methods to approximate any of the (infinitely many) solutions of the equation. We go on to show that the use of product integration over a short primary interval, combined with the careful use of extrapolation to improve the order, may be linked to any suitable standard method away from the origin. The resulting split-interval algorithm is shown to be reliable and flexible, capable of achieving good accuracy, with convergence to the one particular smooth solution.
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Existence of positive solutions to singular right focal boundary value problemsMaroun, Mariette. Henderson, Johnny. January 2006 (has links)
Thesis (Ph.D.)--Baylor University, 2006. / In abstract "th, n, i, n-2, n-1" are superscript. Includes bibliographical references (p. 42-44).
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The dynamics of wave propagation in an inhomogeneous medium the complex Ginzburg-Landau model /Lam, Chun-kit. January 2008 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2008. / Includes bibliographical references (leaf 88-97) Also available in print.
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An extension of the KdV hierarchy arising from Weyl algebra representations of toroidal Lie algebras /Tingley, Peter January 1900 (has links)
Thesis (M. Sc.)--Carleton University, 2002. / Includes bibliographical references (p. 49-50). Also available in electronic format on the Internet.
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