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Think about the linear delay differential equation, \begin{equation}\label{1} y'(q) + \sum_{n=1}^{m} P_{n}(q) y(q-\tau_{n})=0,\quad q\geq q_{0}, \end{equation} where $P_{n}\in C([q_{0},\infty),R)$ and $\tau_{n}\geq0$ for $n=1,2,\ldots,m$. By investigating the oscillatory solutions of the linear delay differential equations, we offer new adequate condition for the asymptotic stability of the solutions of \eqref{1}. We also produce comparison result and stability of \eqref{1}.

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In the field of research, a century old value distribution theory of Nevanlinna is still alive. It contains a broad range of implementations inside and outside a function theory. It is the study to speculate different values by complex function. As you are aware that each single non-constant variable polynomial upon ℂ has has not more than one root which is complex. This builds polynomials with real coefficients, because upon seeing the real number as a complex number with its imaginary part equal to zero up to constant multiple. This article express mainly the classical version for complex analytic map to the Riemann sphere of single variable, with priority on mero-morphic functions in the z-plane.

In this paper, we study the uniqueness and value sharing problems in class A of meromorphic functions. We obtain significant results which improve as well as generalize the result of C.C Yang and Xinhou Hua [10].