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 4 of 4 for “"Contraction Mapping Principle"”.
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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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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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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 …