Zobrazeno 1 - 10
of 442
pro vyhledávání: '"Weigao Ge"'
Publikováno v:
AIMS Mathematics, Vol 6, Iss 7, Pp 6815-6832 (2021)
The quantity of 2(2k+1)-periodic solutions to a specific differential delay system with 2k lags is studied and resolved by variational methods. Several results are revealed and two examples are given to illustrate the application of the main results.
Externí odkaz:
https://doaj.org/article/66842f6df10b47738612e3a17494585e
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 7175-7190 (2020)
In this paper, we discuss the existence of solutions for a nonlocal boundary value problems for hybrid ϕ-Caputo fractional integro-differential equations. Our main result is based on a hybrid fixed point theorem due to Dhage. Finally, we give an exa
Externí odkaz:
https://doaj.org/article/c9d7d4b0584a41198e074be1d67a6ef7
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-15 (2019)
Abstract In this paper, we consider differential delay systems of the form x′(t)=−∑s=12k−1(−1)s+1∇F(x(t−s)), $$x'(t)=-\sum_{s=1}^{2k-1}(-1)^{s+1} \nabla F \bigl(x(t-s) \bigr), $$ in which the coefficients of the nonlinear terms with dif
Externí odkaz:
https://doaj.org/article/34cda5140d2d4a658a87286e21a98487
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-22 (2019)
Abstract In this paper, we study the periodic solutions of high order differential delay equations with 2k−1 $2k-1$ lags. The 4k-periodic solutions are obtained by using the variational method and the method of Kaplan–Yorke coupling system. These
Externí odkaz:
https://doaj.org/article/95e5ceba73214abcb380dffabace49ac
Publikováno v:
Boundary Value Problems, Vol 2017, Iss 1, Pp 1-11 (2017)
Abstract This paper is concerned with the existence of positive periodic solutions for the prescribed mean curvature Rayleigh equations with a singularity. Our results are based on the Manásevich-Mawhin continuation theorem. The results to be obtain
Externí odkaz:
https://doaj.org/article/0b069a79db724119a6dde2aa53f7ece6
Publikováno v:
Mathematics, Vol 8, Iss 10, p 1731 (2020)
In this paper, we study the periodic orbits of a type of odd order differential delay system with 2k−1 lags via the S1 index theory and the variational method. This type of system has not been studied by others. Our results provide a new and more a
Externí odkaz:
https://doaj.org/article/0b45b3e01ffb45d9ba84e5dc899a2f1c
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 231,, Pp 1-9 (2014)
In this article we show the existence of solutions to a mixed boundary-value problem of second-order differential systems with a p-Laplacian. The associated Hamiltonian actions are indefinite and the discussion of the existence of solutions is due
Externí odkaz:
https://doaj.org/article/cc1a070d04e943c3afdfd23eb56e17e8
Publikováno v:
Electronic Journal of Differential Equations, Vol 2011, Iss 45,, Pp 1-8 (2011)
Using critical point theory, we prove the existence of multiple positive solutions for second-order discrete boundary value problems with p-Laplacian.
Externí odkaz:
https://doaj.org/article/f463efde598f45fe8621d20c1f33bc3b
Publikováno v:
Electronic Journal of Differential Equations, Vol 2011, Iss 11,, Pp 1-8 (2011)
In this article, we study the self-adjoint second-order boundary-value problem with integral boundary conditions, $$displaylines{ (p(t)x'(t))'+ f(t,x(t))=0,quad tin (0,1),cr p(0)x'(0)=p(1)x'(1),quad x(1)=int_0^1x(s)g(s)ds, }$$ which involves an integ
Externí odkaz:
https://doaj.org/article/a4848e13034d4b15a3105d97f7f9a6a8
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2009, Iss 42, Pp 1-16 (2009)
In this paper, we deal with the following singular four-point boundary value problem with $p$-Laplacian $$ \left\{\begin{aligned} &(\phi_{p}(u'(t)))'+q(t)f(t,u(t))=0,\ t\in(0,1),\\ &u(0)-\alpha u'(\xi)=0,\ u(1)+\beta u'(\eta)=0, \end{aligned}\right.
Externí odkaz:
https://doaj.org/article/e4fba4d74a61475eae9335b156cf3ba4