设r=sum form i=1 to ∞(x_i^2),Ω={r|0≤r<a}是R^(?)中的开球。考虑无界域的二阶半线性椭圆方程边值问题: Δu+f(u,r)=0 r∈Ω′=R^n\(?) u|(?)Ω=0 r∈(?)Ω给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界...设r=sum form i=1 to ∞(x_i^2),Ω={r|0≤r<a}是R^(?)中的开球。考虑无界域的二阶半线性椭圆方程边值问题: Δu+f(u,r)=0 r∈Ω′=R^n\(?) u|(?)Ω=0 r∈(?)Ω给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界解进行了估计。展开更多
The anti-periodic traveling wave solutions to a forced two-dimensional generalized KdV-Burgers equation are studied. Some theorems concerning the boundness, existence and uniqueness of the solution to this equation ar...The anti-periodic traveling wave solutions to a forced two-dimensional generalized KdV-Burgers equation are studied. Some theorems concerning the boundness, existence and uniqueness of the solution to this equation are proved.展开更多
For the bending, stability and vibrations of rectangular thin plates with free edges on elastic foundations, in this paper we give a flexural function which exactly satisfies not only all the boundary conditions on fr...For the bending, stability and vibrations of rectangular thin plates with free edges on elastic foundations, in this paper we give a flexural function which exactly satisfies not only all the boundary conditions on free edges but also the conditions at free corner points. Applying energy variation principle, we give equations defining parameters in flexural function, stability equation, frequency equation, and general formulae of minimum critical force and minimum eigenfrequency as well.展开更多
文摘设r=sum form i=1 to ∞(x_i^2),Ω={r|0≤r<a}是R^(?)中的开球。考虑无界域的二阶半线性椭圆方程边值问题: Δu+f(u,r)=0 r∈Ω′=R^n\(?) u|(?)Ω=0 r∈(?)Ω给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界解进行了估计。
文摘The anti-periodic traveling wave solutions to a forced two-dimensional generalized KdV-Burgers equation are studied. Some theorems concerning the boundness, existence and uniqueness of the solution to this equation are proved.
文摘For the bending, stability and vibrations of rectangular thin plates with free edges on elastic foundations, in this paper we give a flexural function which exactly satisfies not only all the boundary conditions on free edges but also the conditions at free corner points. Applying energy variation principle, we give equations defining parameters in flexural function, stability equation, frequency equation, and general formulae of minimum critical force and minimum eigenfrequency as well.
