By means of continuation theorem of the coincidence degree theory, sufficient conditions are obtained for the existence of periodic solutions of a kind of third-order neutral delay functional differential equation wit...By means of continuation theorem of the coincidence degree theory, sufficient conditions are obtained for the existence of periodic solutions of a kind of third-order neutral delay functional differential equation with deviating arguments.展开更多
In this paper we apply fractional calculus to solve the 3rd order ordinary differential equation of the following form: (z-a)(z-b)(z-c)φ 3+(βz 2+γz+D)φ 2+(α(2β-3α-3)z+αγ+α(α+1)(a+b+c))φ 1+α(α-...In this paper we apply fractional calculus to solve the 3rd order ordinary differential equation of the following form: (z-a)(z-b)(z-c)φ 3+(βz 2+γz+D)φ 2+(α(2β-3α-3)z+αγ+α(α+1)(a+b+c))φ 1+α(α-1)(β-2α-2)φ=f.展开更多
In this paper, the Hyers-Ulam stability of a third-order nonlinear differential equa- tion is investigated. By the integrating method and a Gronwall type inequality, the stability results are obtained in different sit...In this paper, the Hyers-Ulam stability of a third-order nonlinear differential equa- tion is investigated. By the integrating method and a Gronwall type inequality, the stability results are obtained in different situations on a bounded domain. Then, the study is extended to nth-order nonlinear differential equations.展开更多
In this paper we investigate the global asymptotic stability,boundedness as well as the ultimate boundedness of solutions to a general third order nonlinear differential equation,using complete Lyapunov function.
文摘By means of continuation theorem of the coincidence degree theory, sufficient conditions are obtained for the existence of periodic solutions of a kind of third-order neutral delay functional differential equation with deviating arguments.
文摘In this paper we apply fractional calculus to solve the 3rd order ordinary differential equation of the following form: (z-a)(z-b)(z-c)φ 3+(βz 2+γz+D)φ 2+(α(2β-3α-3)z+αγ+α(α+1)(a+b+c))φ 1+α(α-1)(β-2α-2)φ=f.
基金supported by the Doctoral Fund of Education Ministry of China(20134219120003)the Natural Science Foundation of Hubei Province(2013CFA131)Hubei Province Key Laboratory of Systems Science in Metallurgical Process(z201302)
文摘In this paper, the Hyers-Ulam stability of a third-order nonlinear differential equa- tion is investigated. By the integrating method and a Gronwall type inequality, the stability results are obtained in different situations on a bounded domain. Then, the study is extended to nth-order nonlinear differential equations.
文摘In this paper we investigate the global asymptotic stability,boundedness as well as the ultimate boundedness of solutions to a general third order nonlinear differential equation,using complete Lyapunov function.
