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Titlebook: Nonlinear Singular Perturbation Phenomena; Theory and Applicati K. W. Chang,F. A. Howes Book 1984 Springer Science+Business Media New York

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Singularly Perturbed Systems,perturbed vector second-order equations is in its infancy, and we hope that this chapter will serve to draw attention to some of the associated difficulties. Indeed, many fundamental questions concerning vector equations or systems have yet to be raised, let alone answered.
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Book 1984symptotic 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 a
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0066-5452 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 bot
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Quadratic Singular Perturbation Problems,resence of the quadratic term in y’. The more general differential equation.will not be studied, since it can be reduced to the form (DE) in some cases by the familiar device of completing the square. Our decision to study the simpler equation (DE) rather than the more general equation stems from a
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Singularly Perturbed Systems,as the reader will see, our results for vector problems are very incomplete, especially in comparison with the scalar theory. The study of singularly perturbed vector second-order equations is in its infancy, and we hope that this chapter will serve to draw attention to some of the associated diffic
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Examples and Applications,ounded second derivative, then by Theorem 3.1, for sufficiently small .,the Dirichlet problem has a solution .which satisfies . where . Moreover, the behavior of the solution . in the boundary layers at t = -1 and/or t = 1 (if u(-1)≠A and/or u(1) ≠ B) can be described by means of the layer function
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