共查询到7条相似文献,搜索用时 15 毫秒
1.
The existence of solutions is obtained for a class of the non-periodic Schrdinger equation -Δu + V (x)u = f (x, u), x ∈ R N , by the generalized mountain pass theorem, where V is large at infinity and f is superlinear as |u| →∞. 相似文献
2.
In this paper, nonlinear matrix equations of the form X + A*f1 (X)A + B*f2 (X)B = Q are discussed. Some necessary and sufficient conditions for the existence of solutions for this equation are derived. It is shown that under some conditions this equation has a unique solution, and an iterative method is proposed to obtain this unique solution. Finally, a numerical example is given to identify the efficiency of the results obtained. 相似文献
3.
In this paper, a Liénard equation with a deviating argument has been studied by means of Mawhin's continuation theorem. A new result guaranteeing the existence of periodic solutions is obtained. 相似文献
4.
The authors of this article study the existence and uniqueness of weak solutions of the initial-boundary value problem for ut =div((|u|σ + do)|▽u|P(x,t)-2▽u) +f(x,t) (0 < σ < 2).They apply the method o... 相似文献
5.
EXACT TRAVELING WAVE SOLUTIONS OF MODIFIED ZAKHAROV EQUATIONS FOR PLASMAS WITH A QUANTUM CORRECTION*
In this article,the authors study the exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction by hyperbolic tangent function expansion method,hyperbolic seca... 相似文献
6.
K.G.Dishlieva 《数学物理学报(B辑英文版)》2012,32(3):1035-1052
The basic objects of investigation in this article are nonlinear impulsive differential equations.The impulsive moments coincide with the moments of meeting of the integral curve and some of the so-cal... 相似文献
7.
This paper discusses the solutions of the linear matrix equation B~T XB=D on some linear manifolds. Some necessary and sufficient conditions for the existence of the solution and the expression of the general solution are given. And also some optimal approximation solutions are discussed. 相似文献