This paper studies the reduction theory of analytic parametric families of systems of linear meromorphic differential equations in the neighborhood of an irregular singularity.
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This text provides coverage of Green's functions. Along with Mathematica and MATLAB code, it supplies the necessary background material and presents a large number of examples and exercises from different areas of mathematics, applied science, and engineering.
An account from 1975-1988 of the developments in the application of the modern asymptotic theory of linear differential systems, which dates from the Levinson Theorem of 1948. The main results and techniques are identified and earlier results are placed in a wider context.
"The phase-integral method in mathematics, also known as the Wentzel-Kramers-Brillouin (WKB) method, is the focus of this introductory treatment. Author John Heading successfully steers a course between simplistic and rigorous approaches to provide a concise overview for advance…
"The phase-integral method in mathematics, also known as the Wentzel-Kramers-Brillouin (WKB) method, is the focus of this introductory treatment. Author John Heading successfully steers a course between simplistic and rigorous approaches to provide a concise overview for advance…
