Some results on transcendental entire solutions to certain nonlinear differential-difference equations
نویسندگان
چکیده
In this paper, we study the transcendental entire solutions for nonlinear differential-difference equations of forms: $ \begin{eqnarray*} f^{2}(z)+\widetilde{\omega} f(z)f'(z)+q(z)e^{Q(z)}f(z+c) = u(z)e^{v(z)}, \end{eqnarray*} and class="disp_formula">$ f^{n}(z)+\omega f^{n-1}(z)f'(z)+q(z)e^{Q(z)}f(z+c) p_{1}e^{\lambda_{1} z}+p_{2}e^{\lambda_{2} z}, \quad n\geq 3, where \omega is a constant, \widetilde{\omega}, c, \lambda_{1}, \lambda_{2}, p_{1}, p_{2} are non-zero constants, q, Q, u, v polynomials such that not constants u\not\equiv0 $. Our results improvements complements some previous results.
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ژورنال
عنوان ژورنال: AIMS mathematics
سال: 2021
ISSN: ['2473-6988']
DOI: https://doi.org/10.3934/math.2021470