Entire Solutions of Two Certain Types of Non-linear Differential-Difference Equations
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DOI: 10.1007/s40315-020-00343-8
Abstract: In this paper, we describe entire solutions for two certain types of non-linear differential-difference equations of the form $$\begin{aligned} f^n(z)+\omega f^{n-1}(z)f'(z)+q(z)e^{Q(z)}f(z+c)=u(z)e^{v(z)}, \end{aligned}$$ and $$\begin{aligned} f^n(z)+\omega f^{n-1}(z)f'(z)+q(z)e^{Q(z)}f(z+c)=p_1e^{\lambda z}+p_2e^{-\lambda z}, \end{aligned}$$ where q, Q, u, v are non-constant polynomials, $$c,\lambda… read more here.
Keywords: two certain; solutions two; non linear; types non ... See more keywords