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- Title
ON THE MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATION.
- Authors
MAJUMDER, SUJOY; MAHATO, LATA
- Abstract
The main objective of this paper is to give the specific forms of the meromorphic solutions of the nonlinear difference-differential equation fn(z) + Pd(z, f) = p1(z)eα1(z) + p2(z)eα2(z), where Pd(z, f) is a difference-differential polynomial in f(z) of degree d 6 n-1 with small functions of f(z) as its coefficients, p1, p2 are nonzero rational functions and α1, α2 are nonconstant polynomials. More precisely, we find out the conditions for ensuring the existence of meromorphic solutions of the above equation.
- Subjects
DIFFERENTIAL-difference equations; MEROMORPHIC functions; NONLINEAR equations; NONLINEAR differential equations; VALUE distribution theory
- Publication
Mathematica Bohemica, 2023, Vol 148, Issue 1, p73
- ISSN
0862-7959
- Publication type
Article
- DOI
10.21136/MB.2022.0186-20