For a certain class of nonlinear homogeneous difference equations, it is shown that every nonoscillatory entire solution xn has exponential bounds on Z and that the oscillation is equivalent to the nonexistence of pos...For a certain class of nonlinear homogeneous difference equations, it is shown that every nonoscillatory entire solution xn has exponential bounds on Z and that the oscillation is equivalent to the nonexistence of positive real characteristic roots. Explicit conditions for oscillation in terms of coefficients are also obtained.展开更多
In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the o...In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations.展开更多
文摘For a certain class of nonlinear homogeneous difference equations, it is shown that every nonoscillatory entire solution xn has exponential bounds on Z and that the oscillation is equivalent to the nonexistence of positive real characteristic roots. Explicit conditions for oscillation in terms of coefficients are also obtained.
基金supported by the National Natural Science Foundation of China (11171119 and 10871076)
文摘In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations.
