In this paper, we reveal the multiple boundary layer phenomena of the solution of nonlinear higher order elliptic equations with perturbation both in boundary and in operator, and provide a method to find uniformly va...In this paper, we reveal the multiple boundary layer phenomena of the solution of nonlinear higher order elliptic equations with perturbation both in boundary and in operator, and provide a method to find uniformly valid asymptotic solution of arbitrary order for these types of problems.展开更多
In this paper, we study the multiple boundary layer phenomena of solution ofboundary value problem for third order semilinear ordinary differential equationwith two small parameters. Under suitable conditions, using t...In this paper, we study the multiple boundary layer phenomena of solution ofboundary value problem for third order semilinear ordinary differential equationwith two small parameters. Under suitable conditions, using the method of differential inequalities, we prove the existence of solution and give its estimation of remmainder term.展开更多
This paper is concerned with boundary and corner layer behavior of the singularly perturbed Robin boundary value problem（RP） for the second-order nonlinear differential equations. The existence and asymptotic estima...This paper is concerned with boundary and corner layer behavior of the singularly perturbed Robin boundary value problem（RP） for the second-order nonlinear differential equations. The existence and asymptotic estimate of solutions of （RP） is discussed by appropriately constructing the bounding functions and using the theorv of differential inequality.展开更多
文摘In this paper, we reveal the multiple boundary layer phenomena of the solution of nonlinear higher order elliptic equations with perturbation both in boundary and in operator, and provide a method to find uniformly valid asymptotic solution of arbitrary order for these types of problems.
文摘In this paper, we study the multiple boundary layer phenomena of solution ofboundary value problem for third order semilinear ordinary differential equationwith two small parameters. Under suitable conditions, using the method of differential inequalities, we prove the existence of solution and give its estimation of remmainder term.
文摘This paper is concerned with boundary and corner layer behavior of the singularly perturbed Robin boundary value problem（RP） for the second-order nonlinear differential equations. The existence and asymptotic estimate of solutions of （RP） is discussed by appropriately constructing the bounding functions and using the theorv of differential inequality.
