Complex Delay-Differential Equations

Kai Liu, Nanchang University, China; Ilpo Laine, University of Eastern Finland, Finland; Lianzhong Yang, Shandong University, China.

• 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