Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 19 of 19 for “"Contraction mapping"”.
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Dimensions of Self-Similar Fractals
… of iterated function systems. We start with the Contraction Mapping Theorem, which will give us a constructive method in which to find fractals using iterated function systems. We then define the Hausdorff metric in order to use the Contraction Mapping Theorem to prove that each iterated function …
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Existence of Positive Solutions to a Family of Fractional Two-Point Boundary Value Problems
… problem and use these properties along with the Contraction Mapping Principle, and the Schuader's, Krasnozel'skii's, and Legget-Williams fixed point theorems to prove the existence of positive solutions under different conditions. </p>
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Acceleration of Iterative Methods for Markov Decision Processes
… on two key properties of Markov operator, namely contraction mapping and monotonicity in a restricted region. Since Markov operators of the classical value iteration and modified policy iteration methods for average cost MDPs do not possess the contraction mapping property, for these models we …
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Trade credit
… by the fixed-points of a class of set-valued contraction mapping operators. I then use the method to analyze a dynamic model of trade credit. This model features a principal/seller of an intermediate good who repeatedly sells on credit and lacks collateral to a cash-constrained buyer/agent who …
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The Computational Kleinman-Newton Method in Solving Nonlinear Nonquadratic Control Problems
… convergence of Kleinman-Newton method using the contraction mapping theorem and then describes how this Kleinman-Newton method may be used to numerically solve for the optimal control and the corresponding solution. In order to show the proof and the related numerical work, it is necessary to …
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Generalized metrics and topology in logic programming semantics
… topological in nature. Among them are the Banach contraction mapping theorem on metric spaces and the fixed-point theorem for Scott-continuous mappings on complete partial orders. The latter theorem is fundamental in denotational semantics since semantic operators in most programming language …
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Constant Mean Curvature 1/2 Surfaces in H2 × R
… problem for the mean curvature equation by a contraction mapping argument.
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Modeling hotspot dynamics in microwave heating
… of the free boundary problem is given by a contraction mapping argument.
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Experimental Validation of a New Distributed Cooperative Control Algorithm for Multi-agent Systems with Switching Communication Topologies and Time-Delays
… discontinuous cooperative control gains and uses contraction mapping to achieve consensus of multiagent systems. The testing platform we used consists of a number of mobile robots and software simulations both in Matlab and Microsoft Studio C++. We present the effectiveness of the control law …
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NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer
… chapter, we apply the Brouwer fixed point and Contraction Mapping Theorems to prove that there exists a solution for up to the first order nabla fractional difference equation with an initial condition. In chapter three, we define a lower and an upper solution for up to the first order nabla …
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Deterministic and Stochastic Bellman's Optimality Principles on Isolated Time Domains and Their Applications in Finance
… and existence of the solution by using the Contraction Mapping Theorem. In the fourth chapter, we define the stochastic dynamic sequence problem on isolated time scales. Then we derive the corresponding stochastic Bellman equation. As in the deterministic case, we give an example in finance …
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A classification of toric, folded-symplectic manifolds
… a fold-form to the intrinsic derivative of the contraction mapping from the tangent bundle to the cotangent bundle, and we show that $G$-toric, folded-symplectic manifolds are stratified by $K$-toric, folded-symplectic submanifolds, where $K$ varies over the subtori of $G$ and the action is …
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Caustics in gravitational theories
… system and then discuss the set-up of a contraction mapping proof of existence of the solution to these equations. In the set-up of the existence proof, we prove that the solution must be C<sup>2</sup>. We assume that any solution corresponding to G ≠ 0 cannot deviate from the zero …
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Some Controllability and Stabilization Problems of Surface Waves on Water with Surface tension
The thesis consists of two parts. The first part discusses the initial value problem of a fifth-order Korteweg-de Vries type of equation w<sub>t</sub> + w<sub>xxx</sub> - w<sub>xxxxx</sub> - <sup>n</sup>∑<sub>j=1</sub> a<sub>j</sub>w<sup>j</sup>w<sub>x</sub> = 0, w(x, 0) = w<sub>0</sub>(x) posed on …
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Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval
The dissertation focuses on the nonlinear Schrodinger equation iu_t+u_{xx}+kappa|u|^2u =0, for the complex-valued function u=u(x,t) with domain t>=0, 0<=x<= L, where the parameter kappa is any non-zero real number. It is shown that the problem is locally and globally well-posed for appropriate …
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Spatial Decay of Rotating Waves and Restrictions on Finite Disks.
In this thesis, we consider the system of reaction-diffusion equations and the behavior of the solution of such a system. The focus is to concentrate on solutions which decay at infinity. Under suitable assumptions, we prove the solution and its derivatives decay exponentially in all space. We also …
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Global solution to parametric complementarity constrained programs and applications in optimal parameter selection
… used in the economics literature include contraction mapping, element-by-element inverse, and homotopy methods. These methods, however, are time-consuming if an exact solution is required, and are limited to solving specific types of numerical examples. In this chapter, we construct a …
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Development of the finite and infinite interval learning control theory
This thesis centers on the theories of Finite Interval Learning (FIL) and Infinite Interval Learning (IIL) for nonlinear systems with deterministic uncertainties. Considering the existence of non-smooth nonlinearties in real systems, Iterative Learning Control (ILC) is extended to systems with …