Wilcox C.H. (editor) Asymptotic Solutions of Differential Equations and Their Applications
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John Wiley & Sons, 1964. - 257 Pages.Asymptotic solutions of differential equations are an important tool in applied mathematics and theoretical physics, with applications to such diverse fields as boundary layer theory in fluid dynamics, diffraction theory in optics, the theory of thin shells in elasticity, nonlinear oscillations in electrical networks, and quantum mechanics.The theory of asymptotic solutions was initiated by H. Poincare and G. D. Birkhoff and has been carried forward by Rudolph E. Langer in substantial contributions, both to the rigorous foundations and to the further development of the theory.This volume contains the Proceedings of a Symposium which was held at the Mathematics Research Center, U. S. Army, on May 4, 5 and 6, 1964 and which was dedicated to Professor Langer at the time of his retirement from his position as first Director of the Center. The purpose of the Symposium was to present a survey of the known theory of asymptotic solutions of differential equations, together with an account of some of the current research on the theory and its applications in mathematical physics.
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