Characterization of exponential polynomial as solution of certain type of nonlinear delay-differential equation
نویسندگان
چکیده
In this paper, we have characterized the nature and form of solutions following nonlinear delay-differential equation: $$f^{n}(z)+\sum_{i=1}^{n-1}b_{i}f^{i}(z)+q(z)e^{Q(z)}L(z,f)=P(z),$$ where $b_i\in\mathbb{C}$, $L(z,f)$ are a linear polynomial $f$; $n$ is positive integers; $q$, $Q$ $P$ respectively nonzero, nonconstant any polynomials. Different special cases our result will accommodate all results [J. Math. Anal. Appl., 452(2017), 1128-1144; Mediterr. J. Math., 13(2016), 3015-3027; Open 18(2020), 1292-1301]. Thus can be considered as an improvement them. We also illustrated handful number examples to show that demonstrated in theorem actually occur consequently same automatically applicable previous results.
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ژورنال
عنوان ژورنال: Turkish Journal of Mathematics
سال: 2022
ISSN: ['1303-6149', '1300-0098']
DOI: https://doi.org/10.55730/1300-0098.3268