Nonlinear Singular Perturbation Phenomena is popular PDF and ePub book, written by K. W. Chang in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlinear Singular Perturbation Phenomena can be Read Online from any device for your convenience.
Nonlinear Singular Perturbation Phenomena Book PDF Summary
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.
Detail Book of Nonlinear Singular Perturbation Phenomena PDF
- Author : K. W. Chang
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461211143
- Genre : Mathematics
- Total Page : 191 pages
- Language : English
- PDF File Size : 20,8 Mb
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