Consider an initial-boundary problem vt - ux=0,u, + ()x + f(u) = ()x,θt+ux=()ux=()x+ (E) v(x,0) = v0(x),u(x,0) = u0(x),θ(0,x) = θ0(x), (I) u(t,0) = u(t,1) = θx(t,0) = θx(t,1) (J...Consider an initial-boundary problem vt - ux=0,u, + ()x + f(u) = ()x,θt+ux=()ux=()x+ (E) v(x,0) = v0(x),u(x,0) = u0(x),θ(0,x) = θ0(x), (I) u(t,0) = u(t,1) = θx(t,0) = θx(t,1) (J) Sufficient and necessary conditions for (E), (I) and (J) to have asymptotic stability of the gobal smooth solution are given by means of the elemental L2 energy method.展开更多
We consider the following Hamiltonian system: q″(t)+V′(q(t))=0 q ∈C^2(R,R^n\{0}) (HS) where V ∈C^2(R^n\{0},R)is an even function.By looking for closed geodesics,we prove that (HS)has a nonconstant periodic solutio...We consider the following Hamiltonian system: q″(t)+V′(q(t))=0 q ∈C^2(R,R^n\{0}) (HS) where V ∈C^2(R^n\{0},R)is an even function.By looking for closed geodesics,we prove that (HS)has a nonconstant periodic solution of prescribed energy under suitable assumptions.Our main assumption is related with the strong force condition of Gordon.展开更多
One of the main features of a communicative English classis activities, organized by the teacher and conducted by studentsperforming certain functions and involving different topics. Theuse of activities has gained mu...One of the main features of a communicative English classis activities, organized by the teacher and conducted by studentsperforming certain functions and involving different topics. Theuse of activities has gained much attention. However, the linkbetween activities seems to have been ignored. This paper is anattempt to explore the role of cohesiveness between activities incommunicative teaching. The cohesiveness can be eithermechanical or dynamic. The key is that dynamic cohesivenesscontributes to the atmosphere and effectiveness of communicativeEnglish classroom teaching.展开更多
文摘Consider an initial-boundary problem vt - ux=0,u, + ()x + f(u) = ()x,θt+ux=()ux=()x+ (E) v(x,0) = v0(x),u(x,0) = u0(x),θ(0,x) = θ0(x), (I) u(t,0) = u(t,1) = θx(t,0) = θx(t,1) (J) Sufficient and necessary conditions for (E), (I) and (J) to have asymptotic stability of the gobal smooth solution are given by means of the elemental L2 energy method.
文摘We consider the following Hamiltonian system: q″(t)+V′(q(t))=0 q ∈C^2(R,R^n\{0}) (HS) where V ∈C^2(R^n\{0},R)is an even function.By looking for closed geodesics,we prove that (HS)has a nonconstant periodic solution of prescribed energy under suitable assumptions.Our main assumption is related with the strong force condition of Gordon.
文摘One of the main features of a communicative English classis activities, organized by the teacher and conducted by studentsperforming certain functions and involving different topics. Theuse of activities has gained much attention. However, the linkbetween activities seems to have been ignored. This paper is anattempt to explore the role of cohesiveness between activities incommunicative teaching. The cohesiveness can be eithermechanical or dynamic. The key is that dynamic cohesivenesscontributes to the atmosphere and effectiveness of communicativeEnglish classroom teaching.