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Excerpt from An Asymptotic Solution of Linear Second-Order Hyperbolic Differential Equations
In view of the difficulty in obtaining exact solutions for problems in partial differential equations with prescribed initial and boundary conditions,attention has been given in the literature to solutions in the form of asymptotic series. The present paper presents a method for obtaining asymptotic solutions for certain classes of problems involving linear second-order hyperbolic differential equations. The problems considered arise directly in physical situations or result from reducing vectorial problems of electromagnetic theory to scalar problems.
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