[PDF] Top 20 Research Article Oscillation for Certain Nonlinear Neutral Partial Differential Equations

... Hence, by Corollary 2.7, 2.40 is oscillatory if μ > 0. For example, if c 0, ux, t sin x cos t is such a solution. However, criteria in 1–6 fail to imply this fact and in 7 fail to apply to 2.40 when 0 < μ ≤ 1. In ... See full document

... differential equations has been shown. Many papers deal with the oscillation of neutral differential equations which are often en- countered in applied problems in science and technology; see, ... See full document

... of equations was ...on oscillation theory of impulsive partial differential ...the oscillation of solutions of impulsive partial differential equations with or ... See full document

... the oscillation of this type of first order equation is caused by deviating ...systematic research of the oscillation of first order equations with deviating arguments was given in the book ... See full document

... of oscillation theory plays an important role in physi- cal science and technology; for example in the oscillation of building or machine, electro- magnetic vibration in radio technology and optical ... See full document

... This research is supported by the Natural Science Foundation of China 60774004, 60904024, China Postdoctoral Science Foundation Funded Project 20080441126, 200902564, Shandong Postdoctoral Funded Project 200802018 ... See full document

... the research on the oscillatory behavior of solutions of fractional differ- ential equation has been a hot topic and some results have been ...fractional partial differential equations which involve ... See full document

... for oscillation criteria of certain frac- tional partial differential equations by using the generalized Riccati transformation and Riemann–Liouville ...to research the ... See full document

... Differential equations with neutral argument have interesting applications in problems of real world ...the neutral differ- ential equations appear in the modeling of these phenomena as is the ... See full document

... Sun, Oscillation of even-order neutral delay differential equations, Advances in Difference Equations, 2010 (2010), ...of certain third-order nonlinear neutral ... See full document

... differential equations that we study describe many phenomena and dynamical pro- cesses in various fields, and they have attracted a great deal of attention of researchers in physical sciences, mathematics, biology, ... See full document

... the oscillation of a class fractional differential equation with Robin and Dirichlet boundary ...the differential inequality method, oscillation criteria for a class of nonlinear ... See full document

... This research is supported by the Natural Science Foundation of China 60774004, 60904024, China Postdoctoral Science Foundation Funded Project 20080441126, 200902564, Shandong Postdoctoral Funded Project 200802018 ... See full document

... impulsive partial differential equation, the oscillation theory of impulsive partial differential equation has various applications therefore it has aroused great study interests in ... See full document

... Differential equations describing interesting special classes of surfaces (as well as classical parametrisations of general surfaces) are integrable, and, conversely, many important integrable systems admit ... See full document

... The theory of dynamic equations on time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph.D. thesis [1] in order to unify continuous and discrete analysis. The books on the ... See full document

... Remark 3.4: In this paper, we obtain oscillation criteria for equation (1) by employing comparison method and Riccati type transformation involving both 𝛼 and 𝛽 . Therefore the results presented in this paper are ... See full document

... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document

... Therefore, it is to be noted that, to the best of our knowledge, there is no paper for higher order nonlinear neutral difference equations which ensures that all the solutions are oscillatory when m ... See full document

... This research is supported by the Natural Science Foundation of China 60774004, 60904024, China Postdoctoral Science Foundation funded Project 20080441126, 200902564, and Shandong Postdoctoral funded project ... See full document