Currently displaying 1 – 14 of 14

Showing per page

Order by Relevance | Title | Year of publication

A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations

Yun-Bo YangQiong-Xiang Kong — 2017

Applications of Mathematics

A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations is presented. Applying the orthogonal projection technique, we introduce two local Gauss integrations as a stabilizing term in the error correction method, and derive a new error correction method. In both the coarse solution computation step and the error computation step, a locally stabilizing term based on two local Gauss integrations is introduced. The stability and convergence of the...

Second order boundary value problems with sign-changing nonlinearities and nonhomogeneous boundary conditions

John R. GraefLingju KongQingkai KongBo Yang — 2011

Mathematica Bohemica

The authors consider the boundary value problem with a two-parameter nonhomogeneous multi-point boundary condition u ' ' + g ( t ) f ( t , u ) = 0 , t ( 0 , 1 ) , u ( 0 ) = α u ( ξ ) + λ , u ( 1 ) = β u ( η ) + μ . C r i t e r i a f o r t h e e x i s t e n c e o f n o n t r i v i a l s o l u t i o n s o f t h e p r o b l e m a r e e s t a b l i s h e d . T h e n o n l i n e a r t e r m f ( t , x ) m a y t a k e n e g a t i v e v a l u e s a n d m a y b e u n b o u n d e d f r o m b e l o w . C o n d i t i o n s a r e d e t e r m i n e d b y t h e r e l a t i o n s h i p b e t w e e n t h e b e h a v i o r o f f ( t , x ) / x f o r x n e a r 0 a n d ± , a n d t h e s m a l l e s t p o s i t i v e c h a r a c t e r i s t i c v a l u e o f a n a s s o c i a t e d l i n e a r i n t e g r a l o p e r a t o r . T h e a n a l y s i s m a i n l y r e l i e s o n t o p o l o g i c a l d e g r e e t h e o r y . T h i s w o r k c o m p l e m e n t s s o m e r e c e n t r e s u l t s i n t h e l i t e r a t u r e . T h e r e s u l t s a r e i l l u s t r a t e d w i t h e x a m p l e s .

Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients

John R. GraefBo YangBing Gen Zhang — 1999

Mathematica Bohemica

In this paper, we study the existence of oscillatory and nonoscillatory solutions of neutral differential equations of the form x ( t ) - c x ( t - r ) P ( t ) x ( t - θ ) - Q ( t ) x ( t - δ ) =0 where c > 0 , r > 0 , θ > δ 0 are constants, and P , Q C ( + , + ) . We obtain some sufficient and some necessary conditions for the existence of bounded and unbounded positive solutions, as well as some sufficient conditions for the existence of bounded and unbounded oscillatory solutions.

Page 1

Download Results (CSV)