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Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation Book

Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation
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  • Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation
  • Written by author Yasutaka Sibuya
  • Published by American Mathematical Society, July 2008
  • Research in differential equations is usually oriented toward explicit results and motivated by applications. Many clever methods have been discovered in this way, but, when problems of more fundamental difficulty arise, researchers must find something in
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Ch. I Structures of Analytic Continuation 1

Ch. II Existence Theorem of Grauert 31

Ch. III A Theorem of G. D. Birkhoff 69

Ch. IV The Riemann Problem 95

Ch. V Linear Differential Equations on a Sectorial Domain 115

Ch. VI The Stokes Phenomena 143

Appendix 1 The Hukuhara-Turrittin Theorem in Terms of D[actual symbol not reproducible]-Modules 177

Appendix 2 Gevrey Asymptotics 189

Appendix 3 Cohomological Methods 215

Appendix 4 k-Summability 229

Appendix 5 Differential Equations Containing Parameters 241

References 257

Index 265


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