摘要 : In this paper, we describe entire solutions for two certain types of non-linear differential-difference equations of the form fn(z)+ωfn-1(z)f′(z)+q(z)eQ(z)f(z+c)=u(z)ev(z),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepac... 展开 In this paper, we describe entire solutions for two certain types of non-linear differential-difference equations of the form fn(z)+ωfn-1(z)f′(z)+q(z)eQ(z)f(z+c)=u(z)ev(z),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} f^n(z)+\omega f^{n-1}(z)f'(z)+q(z)e^{Q(z)}f(z+c)=u(z)e^{v(z)}, \end{aligned}$$\end{document}and fn(z)+ωfn-1(z)f′(z)+q(z)eQ(z)f(z+c)=p1eλz+p2e-λz,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} f^n(z)+\omega f^{n-1}(z)f'(z)+q(z)e^{Q(z)}f(z+c)=p_1e^{\lambda z}+p_2e^{-\lambda z}, \end{aligned}$$\end{document}where q, Q, u, v are non-constant polynomials, c,λ,p1,p2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c,\lambda ,p_1,p_2$$\end{document} are non-zero constants, and ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\omega $$\end{document} is a constant. Our results improve and generalize some previous results. 收起