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Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Existence of Meromorphic Solution of Riccati-Abel Differential Equation

Authors : P. G. Siddheshwar, A. Tanuja

Published in: Applied Mathematics and Scientific Computing

Publisher: Springer International Publishing

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Abstract

We present meromorphic solution of the Riccati-Abel differential equation by considering the corresponding complex differential equation. Riccati-Abel differential equation is one of the most widely used equations of mathematical physics. A result from Nevanlinna theory that helps us in obtaining such a solution concerns sharing one value of meromorphic function and its first derivative.

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previous chapter Application of Integrodifferential Equations Using Sumudu Transform in Intuitionistic Trapezoidal Fuzzy MAGDM Problems
next chapter Expansion of Function with Uncertain Parameters in Higher Dimension
Literature
1.
W. Hayman: Meromorphic Functions, Clarendon Press, Oxford (1964)MATH
2.
I. Laine: Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin (1993)CrossRef
3.
K. S. Charak: Value distribution theory of meromorphic functions, Mathematics Newsletter, 18, 1–20 (2009)
4.
A. H. H. Al-Khaladi: Meromorphic functions that share one value and the solution of Riccati differential equation, Arab J. Math, 2, 129–137 (2013)MathSciNetCrossRef
5.
C. C. Yang, H. X. Yi, Uniqueness theory of meromorphic functions, Kluwer, Dordrecht (2004)
Metadata
Title
Existence of Meromorphic Solution of Riccati-Abel Differential Equation
Authors
P. G. Siddheshwar
A. Tanuja
Copyright Year
2019
Book
Applied Mathematics and Scientific Computing

Print ISBN: 978-3-030-01122-2

Electronic ISBN: 978-3-030-01123-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-01123-9_3

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