Complex delay-differential equations

著者

書誌事項

Complex delay-differential equations

Kai Liu, Ilpo Laine, and Lianzhong Yang

(De Gruyter studies in mathematics, v. 78)

De Gruyter, c2021

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注記

Includes bibliographical references (p. [279]-288) and index

内容説明・目次

目次

  • Preface Content Chapter 1: Introduction to Nevanlinna theory and its difference version 1.1: Nevanlinna theory 1.2 Difference analogue of Nevanlinna theory Chapter 2: Value distribution of complex differential-difference polynomials 2.1 Differential-difference versions of standard classical results 2.2 Uniqueness theory for complex D-D polynomials Chapter 3: Local theory of complex differential-difference equations 3.1 Power series solutions 3.2 Fixed points Chapter 4
  • Linear complex differential-difference equations 4.1 Operator theory 4.2 Infinite order differential equations 4.3 First order D-D equations 4.4 Higher order D-D equations Chapter 5: Nonlinear complex differential-difference equations 5.1 Fermat type D-D equations 5.2 Riccati type D-D equations 5.3 Malmquist type D-D equations 5.4 Other non-linear D-D equations Chapter 6: Complex q-difference differential equations Chapter 7: Systems of complex differential-difference equations Chapter 8: Applications Bibliography

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