## Abstract In this paper, a generalized antiβmaximum principle for the second order differential operator with potentials is proved. As an application, we will give a monotone iterative scheme for periodic solutions of nonlinear second order equations. Such a scheme involves the __L__^__p__^ norms
NOTE: Monotone Iterative Technique for a Nonlinear Integral Equation
β Scribed by Adrian Constantin
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 105 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
A result for the existence of a positive solution to a nonlinear integral equation is proved using the monotone iterative technique and an application in the mathematical theory of water percolation phenomena is given.
π SIMILAR VOLUMES
## Abstract The concept of the operators of generalized monotone type is introduced and iterative approximation methods for a fixed point of such operators by the Ishikawa and Mann iteration schemes {xn} and {yn} with errors is studied. Let __X__ be a real Banach space and __T__ : __D__ β __X__ β 2
A regularization procedure for nonlinear conservation equations is introduced and demonstrated to have a stabilizing effect on the numerical solution of the associated approximate problem. Representative results for a least-squares finite-element method are given, and the numerical performance of th