The paper present some oscillation criteria for the nonlinear second-order damped delay dynamic equation ( r(t)|x∆(t)|β−1x∆(t) )∆ + p(t)|x∆σ (t)|β−1x∆σ (t) + q(t)f(x(τ(t))) = 0 on an arbitrary time scale T, where β > 0 is a constant, supT = ∞, σ(t) := inf{s ∈ T : s > t} is the forward jump operator on T, and x∆σ := x ◦ σ. Our results improve and extend some known results in which β > 0 is a quo...

In this paper, we investigate comparison criteria for third order nonlinear dynamic equations with mixed nonlinearities on time scales. Our results are essentially new. Some applications illustrating the importance of our results are included and these applications solve a problem posed in [2, Remark 3.3].

In this paper, we establish some new oscillation criteria for the third order nonlinear delay dynamic equations

In this paper, we study the oscillation of a class of second-order nonlinear neutral damped variable delay dynamic equations on time scales. By using a generalized Riccati transformation technique, we obtain some sufficient conditions for the oscillation of the equations. The results of this paper improve and extend some known results. We also illustrate our main results with some examples. Key...

the patients’ rights status is one of the essential elements in defining norms related to the concept of clinical governance system. in addition, the patients’ rights status is an important index for quality of care offered in the health care system. however, the lack of a coherent instrument makes it difficult to evaluate patients’ rights status in hospitals and clinics. the aim of this study ...

As one of the seven open problems in the addendum to their 1989 book Computability in Analysis and Physics [21], Pour-El and Richards asked, “What is the connection between the computability of the original nonlinear operator and the linear operator which results from it?” Yet at present, systematic studies of the issues raised by this question seem to be missing from the literature. In this pa...

In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation ( r(t) (( y(t)+ p(t)y(t − τ))∆)γ )∆ + f (t, y(t − δ))= 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of the...