Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Xiao-Bao Shu"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28906-28930 (2024)
In this paper, we have discussed a class of second-order neutral stochastic differential evolution systems, based on the Wiener process, with random impulses and state-dependent delay. The system is an extension of impulsive stochastic differential e
Externí odkaz:
https://doaj.org/article/abfa0ad5d2be4a6e84e03369ceded154
Publikováno v:
AIMS Mathematics, Vol 7, Iss 5, Pp 7685-7705 (2022)
In this paper, we study sufficient conditions for the existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions. By using variational method we first obtain the corresponding energy
Externí odkaz:
https://doaj.org/article/2521cba4d4e8443c8b675a8ef08e8f56
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-23 (2021)
Abstract In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems. We first study the Green function of the Sturm–Liouville differential equation with ra
Externí odkaz:
https://doaj.org/article/32670bb8713741a3a8aaaabfab23d3ff
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 6189-6210 (2020)
In this article, we consider the existence of upper and lower solutions to a second-order random impulsive differential equation. We first study the solution form of the corresponding linear impulsive system of the second-order random impulsive diffe
Externí odkaz:
https://doaj.org/article/f3216c7a0b1a4a64a74410ff4b323fbe
Publikováno v:
Results in Applied Mathematics, Vol 12, Iss , Pp 100215- (2021)
In this paper, we investigate the existence of periodic solutions for a class of second order nonlinear random impulse differential equations. By extending the definitions of continuous function bound set, curvature bound set and Nagumo set in topolo
Externí odkaz:
https://doaj.org/article/698df00426444556a0994020f2bfe2e5
Publikováno v:
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-18 (2019)
Abstract This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1
Externí odkaz:
https://doaj.org/article/463cb5f2df274105a6ac8ac1e80db297
Publikováno v:
Complexity, Vol 2020 (2020)
The interaction of elements in a financial system can exhibit complex dynamic behaviours. In this article, we use a system of differential equations to model the evolution of a financial system and study its complexity. Numerical simulations show tha
Externí odkaz:
https://doaj.org/article/53ca8183393a4613acfec47950e9c570
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 150,, Pp 1-21 (2013)
In this article, we study the existence of an infinite number of subharmonic periodic solutions to a class of second-order neutral nonlinear functional differential equations. Subdifferentiability of lower semicontinuous convex functions $varphi(x(t)
Externí odkaz:
https://doaj.org/article/2738c17575fa4a70ad847199d8f031dc
Autor:
Xiao-Bao Shu, Yuan-Tong Xu
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 17, Pp 2689-2702 (2005)
By means of variational structure and Z2 group index theory, we obtain multiple periodic solutions to a class of second-order mixed-type differential equations x''(t−τ)+f(t,x(t),x(t−τ),x(t−2τ))=0 and x''(t−τ)+λ(t)f1(t,x(t),x(t−τ),x(t
Externí odkaz:
https://doaj.org/article/0206a7964e294f728395f46413a89f3a
Autor:
Xiao-Bao Shu, Yuan-Tong Xu
Publikováno v:
Electronic Journal of Differential Equations, Vol 2004, Iss 137, Pp 1-14 (2004)
By means of variational structure and $Z_2$ group index theory, we obtain multiple solutions for the second-order differential equation $$ frac{d}{dt}(p(t)frac{du}{dt})+q(t)u+f(t,u)=0 ,quad 0 less than t less than 1, $$ subject to one of the followin
Externí odkaz:
https://doaj.org/article/b4492e43b3954cc1912b5dc00bc70bc5