In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscill...In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results not only unify the oscillation of second order nonlinear differential and difference equations but also can be applied to different types of time scales with sup T = ∞. Our results improve and extend some known results in the literature. Examples which dwell upon the importance of our results are also included.展开更多
This paper discusses the oscillation of solutions for nonlinear neutral partial differential equation in the form of Sufficient conditions are obtained for oscillation of solutions,of this equation, which extend and ...This paper discusses the oscillation of solutions for nonlinear neutral partial differential equation in the form of Sufficient conditions are obtained for oscillation of solutions,of this equation, which extend and improve some known results. Where n is bounded domain in R' with piecewise smooth boundary and △is the Laplacian in Euclidean n -space R'.展开更多
By the generalized Borsuk theorem in coincidence degree theory, a p-Laplacian neutral functional differential equation is studied. A new result on the existence of periodic solution is obtained. The interest is that s...By the generalized Borsuk theorem in coincidence degree theory, a p-Laplacian neutral functional differential equation is studied. A new result on the existence of periodic solution is obtained. The interest is that some coeffcient in it is not a constant function and its sign can be changeable, which is different from that in the known literatures.展开更多
In this paper,existence and uniqueness of the solutions of the second order neutral differential equation with non-instantaneous impulses in a Hilbert space X are studied.This is followed by a brief discussion on the ...In this paper,existence and uniqueness of the solutions of the second order neutral differential equation with non-instantaneous impulses in a Hilbert space X are studied.This is followed by a brief discussion on the exact and trajectory controllability.Further,the strongly continuous cosine family of linear operators and Banach fixed point theorem are used to establish the results.Finally,an example is given to illustrate the analytical findings.展开更多
文摘In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results not only unify the oscillation of second order nonlinear differential and difference equations but also can be applied to different types of time scales with sup T = ∞. Our results improve and extend some known results in the literature. Examples which dwell upon the importance of our results are also included.
文摘This paper discusses the oscillation of solutions for nonlinear neutral partial differential equation in the form of Sufficient conditions are obtained for oscillation of solutions,of this equation, which extend and improve some known results. Where n is bounded domain in R' with piecewise smooth boundary and △is the Laplacian in Euclidean n -space R'.
基金supported by Natural Science Foundation of Education Department of Anhui Province (No.KJ2010B353)Young Teacher’s Foundation of Anhui Normal University (No.2008xqn46)
文摘By the generalized Borsuk theorem in coincidence degree theory, a p-Laplacian neutral functional differential equation is studied. A new result on the existence of periodic solution is obtained. The interest is that some coeffcient in it is not a constant function and its sign can be changeable, which is different from that in the known literatures.
文摘In this paper,existence and uniqueness of the solutions of the second order neutral differential equation with non-instantaneous impulses in a Hilbert space X are studied.This is followed by a brief discussion on the exact and trajectory controllability.Further,the strongly continuous cosine family of linear operators and Banach fixed point theorem are used to establish the results.Finally,an example is given to illustrate the analytical findings.
