相关期刊:《四川师范大学学报(自然科学版)》《Journal of Partial Differential Equations》《Applied Mathematics and Mechanics(English Edition)》《Frontiers of Mathematics in China》更多>>
supported by National Natural Science Foundation of China(Grant No.11171157);the Jiangsu Planned Projects for Postdoctoral Research Funds
We investigate solutions to superlinear or sublinear operator equations and obtain some abstract existence results by minimax methods. These results apply to superlinear or sublinear Hamiltonian systems satisfying sev...
revised September 27,2005.Research support by Natural Science Foundation of China(10271043)
Some oscillation criteria are established by Raccati transformation techniques for the following second-order nonlinear neutral difference equation △(pn(△(Xn + CnXn-τ))^γ) + qnX^Bn-σ = 0, n :0, 1, 2...wh...
In this paper, the second order difference equation: △(rn△xn) + f(n, xn) = 0, n∈N(n0) (E) is considered. Some necessary and sufficient conditions for the oscillation of Eq.(E) are obtained.
It is shown that there exists Λ>0 such that, for every λ∈(0,Λ), the semilinear elliptic system: - Δ u=λu|u| q-1 +u|u| p-1 -v inΩ, - Δ v=δu-γv in Ω, u=v=0 on Ω, where Ω∈R N(N≥2) is a b...
In this paper,we consider the high order singular boundary value problems: u (n) (t)+a(t)f(u(t))=0, 00,t∈(0,1). a(t) may be singular at t=0,t=1. f(u)∈c[0,+...
In this paper, we restablish the existence of positive solution to (n - 1, 1)conjugate boundary value problemIt permits a(t) = 0 on some subintervals of [0, 1] and to have singularity at t = 0and t = 1.
Abstract The existence of infinitely many solutions for the equation-Δu+u=a(x)|u| -a u+b(x)|u| s-2 u in R Nare given by means of variational method, where 0<α<1,2<s<2nn-2, if n3,2<...