In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansio...In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion in entire region is obtained.展开更多
In this paper,we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations:x′=f(t,x,y,ε),εy″=g(t,x,y,ε)y′+h(t,x,y,ε),x(0,ε)=A(ε),y(0,ε)=Bε,y(1,ε)=C...In this paper,we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations:x′=f(t,x,y,ε),εy″=g(t,x,y,ε)y′+h(t,x,y,ε),x(0,ε)=A(ε),y(0,ε)=Bε,y(1,ε)=C(ε)where xf.y,h,A,B and C belong to R″and a is a diagonal matrix.Under the appropriateassumptions,using the technique of diagonalization and the theory of differentialinequalities we obtain the existence of solution and its componentwise uniformly validasymptotic estimation.展开更多
The singularly perturbed nonlinear boundary value problems are considered.Using the stretched variable and the method of boundary layer correction,the formal asymptotic expansion of solution is obtained.And then the u...The singularly perturbed nonlinear boundary value problems are considered.Using the stretched variable and the method of boundary layer correction,the formal asymptotic expansion of solution is obtained.And then the uniform validity of solution is proved by using the differential inequalities.展开更多
这份报纸被奉献学习下列不可思议地使不安第四顺序的平常的微分方程 ey ( 4 )= f ( t ， y ， y ， y )， 0 t 1 ， 0 第1wi 非线性的边界条件 y ( 0 )= y ( 1 )= 0 ， p ( y “( 0 )， y ”( 0 ))= 0 ， q ( y “( 1 )， y ( 1 ))= ...这份报纸被奉献学习下列不可思议地使不安第四顺序的平常的微分方程 ey ( 4 )= f ( t ， y ， y ， y )， 0 t 1 ， 0 第1wi 非线性的边界条件 y ( 0 )= y ( 1 )= 0 ， p ( y “( 0 )， y ”( 0 ))= 0 ， q ( y “( 1 )， y ( 1 ))= 0where f ：[0， 1 ]?? 潣潣牥楣敶洠灡楰杮?????????????????? 僚 ??? 汩敢瑲？？展开更多
文摘In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion in entire region is obtained.
文摘In this paper,we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations:x′=f(t,x,y,ε),εy″=g(t,x,y,ε)y′+h(t,x,y,ε),x(0,ε)=A(ε),y(0,ε)=Bε,y(1,ε)=C(ε)where xf.y,h,A,B and C belong to R″and a is a diagonal matrix.Under the appropriateassumptions,using the technique of diagonalization and the theory of differentialinequalities we obtain the existence of solution and its componentwise uniformly validasymptotic estimation.
文摘The singularly perturbed nonlinear boundary value problems are considered.Using the stretched variable and the method of boundary layer correction,the formal asymptotic expansion of solution is obtained.And then the uniform validity of solution is proved by using the differential inequalities.
文摘这份报纸被奉献学习下列不可思议地使不安第四顺序的平常的微分方程 ey ( 4 )= f ( t ， y ， y ， y )， 0 t 1 ， 0 第1wi 非线性的边界条件 y ( 0 )= y ( 1 )= 0 ， p ( y “( 0 )， y ”( 0 ))= 0 ， q ( y “( 1 )， y ( 1 ))= 0where f ：[0， 1 ]?? 潣潣牥楣敶洠灡楰杮?????????????????? 僚 ??? 汩敢瑲？？
