Get Nonlinear Singular Perturbation Phenomena Theory and Applications (Applied Mathematical Sciences)
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Book Details :
Published on: 2013-10-04
Released on: 2013-10-04
Original language: English
Our purpose in writing this monograph is twofold. On the one hand, we want to collect in one place many of the recent results on the exist ence and asymptotic behavior of solutions of certain classes of singularly perturbed nonlinear boundary value problems. On the other, we hope to raise along the way a number of questions for further study, mostly ques tions we ourselves are unable to answer. The presentation involves a study of both scalar and vector boundary value problems for ordinary dif ferential equations, by means of the consistent use of differential in equality techniques. Our results for scalar boundary value problems obeying some type of maximum principle are fairly complete; however, we have been unable to treat, under any circumstances, problems involving "resonant" behavior. The linear theory for such problems is incredibly complicated already, and at the present time there appears to be little hope for any kind of general nonlinear theory. Our results for vector boundary value problems, even those admitting higher dimensional maximum principles in the form of invariant regions, are also far from complete. We offer them with some trepidation, in the hope that they may stimulate further work in this challenging and important area of differential equa tions. The research summarized here has been made possible by the support over the years of the National Science Foundation and the National Science and Engineering Research Council. Spring 2017 Graduate Course Descriptions Department of ... Measure theory and Lebesgue integration on the Euclidean space. Convergence theorems. L p spaces and Hilbert spaces. Fourier series. Introduction to abstract measure ... Linear and nonlinear waves - Scholarpedia A Plane wave is considered to exist far from its source and any physical boundaries so effectively it is located within an infinite domain. Its position ... General relativity - Wikipedia General relativity (GR also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the ... Submitted Open Invited Tracks IFAC 2017 World Congress ... Summary of all submitted open invited tracks (by CC order) To submit a contribution to an open invited track follow the submission procedure using the given track code. Institute for Computational and Mathematical Engineering ... Courses offered by the Institute for Computational and Mathematical Engineering are listed under the subject code CME on the Stanford Bulletin's ExploreCourses web site. Computing + Mathematical Sciences Course Descriptions Course Descriptions. Courses offered in our department for Applied and Computational Mathematics Control and Dynamical Systems and Computer Science are listed below. Mathematical Physics - Free E-Books Mathematical Physics - list of freely downloadable books at E-Books Directory Chemical Engineering Stanford University Honors Program in Chemical Engineering. The Department of Chemical Engineering offers a program leading to the degree of Bachelor of Science in Chemical Engineering ... Research Institute for Mathematical Sciences Theory of Biomathemtics and its Applications - Modeling and Analysis for Discrete and Continuous Models Location Rm 420 Period: 2016-11-14--2016-11-17 Accepted Papers ICML New York City We show how deep learning methods can be applied in the context of crowdsourcing and unsupervised ensemble learning. First we prove that the popular model of Dawid ...
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