The Turning Point Problem in the Asymptotic Integration of Ordinary Linear Diffe
The Turning Point Problem in the Asymptotic Integration of Ordinary Linear Diffe
Herbert Kurss
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S p — ^ oo) from the turning point. But in the near zone a sinple stretching of the variable results in an equation vjith coefficients xonifonnly bounded as p — > 00 • Hence in the near zone the solution is a bounded function of the initial values, ''hen the near and far zones raeet at an intermediate point then a bounded comparison solution can be constructed . 25 VI, The Dec ou pling or Reduc tlon A pproa c h The decoupling approach atteinpts to regard a system as a relatively v;eak coupling ...of coriiponents where the behavior of each component is either Icnovm or readily obtainable. From this one can usually deduce the behavior of the coupled system. For example, suppose G 11 = P^ll^il and '22 pA^^G 22" 22 where A, , App are square matrices and G-, -, , Gpp are fundamental matrix solutions. Then a solution to *n =
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