Oscillation of two-dimensional neutral delay dynamic systems
Summary: We consider the class of nonlinear two-dimensional dynamic systems of neutral type \[ (x(t) - a(t)x(\tau_1(t)))^\Delta = p(t)f_1(y(t)), \] \[ y^\Delta(t) = -q(t)f_2(x(\tau_2(t))). \] We obtain sufficient conditions for all solutions of the system to be oscillatory. Our oscillation results when \(a(t) = 0\) improve the oscillation results for dynamic systems on time scales that have been established by \textit{S.-C. Fu} and \textit{M.-L. Lin} [Comput. Math. Appl. 59, No. 8, 2552--2565 (2010; Zbl 1193.34181)]. Some examples are given to illustrate the main results.
scientific article; zbMATH DE number 6171646