Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Zhanbing Bai"'
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-8 (2024)
Abstract This paper provides a class of upper and lower solution definitions for second-order coupled systems by transforming the fourth-order differential equation into a second-order differential system. Then, by constructing a homotopy parameter a
Externí odkaz:
https://doaj.org/article/01837b5cc9af4b3ab8b659bd739ebc30
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 1, Pp 437-455 (2023)
In this paper, a delayed fractional Lotka-Volterra food chain chemostat model with incommensurate orders is proposed, and the effect on system stability and bifurcation of this model are discussed. First, for the system with no controller, the stabil
Externí odkaz:
https://doaj.org/article/2139cb3d75a54e21927d18ee4932c5ce
Autor:
Yongfang Wei, Zhanbing Bai
Publikováno v:
Nonlinear Analysis, Vol 27 (2022)
This paper studies a class of superlinear damped vibration equations with nonlocal boundary conditions on time scales by using the calculus of variations. We consider the Cerami condition, while the nonlinear term does not satisfy Ambrosetti–Rabino
Externí odkaz:
https://doaj.org/article/e36091310a0b41dab8f52db20cf9644f
Autor:
Shuqi Wang, Zhanbing Bai
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-9 (2020)
Abstract In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acqu
Externí odkaz:
https://doaj.org/article/9fdce9673f504c41ac5507604b24e954
Publikováno v:
Nonlinear Analysis, Vol 27 (2022)
In this paper, we study the multiple solutions for some second-order p-Laplace differential equations with three-point boundary conditions and instantaneous and noninstantaneous impulses. By applying the variational method and critical point theory t
Externí odkaz:
https://doaj.org/article/fb0fb66bb5e345a39245537514b7d88e
Publikováno v:
AIMS Mathematics, Vol 5, Iss 5, Pp 4983-4994 (2020)
Some fourth-order two-point boundary value problems are considered in this paper. Firstly, the Green’s function is obtained by the use of the Laplace transform. Secondly, the first eigenvalue is given by using Ritz method. Then, by the use of the p
Externí odkaz:
https://doaj.org/article/1b2c832a119b4f4c9923cff6c3573452
Nonlocal problems of fractional systems involving left and right fractional derivatives at resonance
Publikováno v:
AIMS Mathematics, Vol 5, Iss 4, Pp 3331-3345 (2020)
In this paper, we study a class of nonlocal boundary value problems of fractional systems which involves left and right fractional derivatives at resonance. By using the coincidence degree theory, the solvability results for the problems are obtained
Externí odkaz:
https://doaj.org/article/c38b2d68e99c4489ad06d7d199c3b6c8
Publikováno v:
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-12 (2020)
Abstract Existence results for the three-point fractional boundary value problem D α x ( t ) = f ( t , x ( t ) , D α − 1 x ( t ) ) , 0 < t < 1 , x ( 0 ) = A , x ( η ) − x ( 1 ) = ( η − 1 ) B , $$\begin{aligned}& D^{\alpha}x(t)= f \bigl(t, x
Externí odkaz:
https://doaj.org/article/b0360d6031a14b6c9fb132f8e0706c3a
Autor:
Zhiyu Li, Zhanbing Bai
Publikováno v:
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-8 (2019)
Abstract In this paper, we are dedicated to researching the boundary value problems (BVPs) for equation D α x ( t ) = f ( t , x ( t ) , D α − 1 x ( t ) ) $D^{\alpha }x(t)=f(t,x(t),D^{\alpha -1}x(t))$ , with the boundary value conditions to be eit
Externí odkaz:
https://doaj.org/article/56956115981c43cb89240d15034ec55b
Publikováno v:
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-8 (2019)
Abstract This study establishes some new maximum principle which will help to investigate an IBVP for multi-index Hadamard fractional diffusion equation. With the help of the new maximum principle, this paper ensures that the focused multi-index Hada
Externí odkaz:
https://doaj.org/article/97e90c843b9c41c4892fd0f4318ab4aa