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Point Theorem (point + theorem)

Distribution by Scientific Domains
Mathematics and Statistics75%

Selected Abstracts

Stationary solutions to the drift,diffusion model in the whole spaces

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 6 2009
Ryo Kobayashi
Abstract We study the stationary problem in the whole space ,n for the drift,diffusion model arising in semiconductor device simulation and plasma physics. We prove the existence and uniqueness of stationary solutions in the weighted Lp spaces. The proof is based on a fixed point theorem of the Leray,Schauder type. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Equilibrium problem for thermoelectroconductive body with the Signorini condition on the boundary

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 4 2001
D. Hömberg
Abstract We investigate a boundary value problem for a thermoelectroconductive body with the Signorini condition on the boundary, related to resistance welding. The mathematical model consists of an energy-balance equation coupled with an elliptic equation for the electric potential and a quasistatic momentum balance with a viscoelastic material law. We prove the existence of a weak solution to the model by using the Schauder fixed point theorem and classical results on pseudomonotone operators. Copyright © 2001 John Wiley & Sons, Ltd. [source]

Positive periodic solutions and eigenvalue intervals for systems of second order differential equations

MATHEMATISCHE NACHRICHTEN, Issue 11 2008
Jifeng Chu
Abstract In this paper, we employ a well-known fixed point theorem for cones to study the existence of positive periodic solutions to the n -dimensional system x , + A (t)x = H (t)G (x). Moreover, the eigenvalue intervals for x , + A (t)x = ,H (t)G (x) are easily characterized. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Numerical inclusion methods of solutions for variational inequalities

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 11 2002
C. S. Ryoo
Abstract We consider a numerical method that enables us to verify the existence of solutions for variational inequalities. This method is based on the infinite dimensional fixed point theorems and explicit error estimates for finite element approximations. Using the finite element approximations and explicit a priori error estimates, we present an effective verification procedure that through numerical computation generates a set which includes the exact solution. Copyright © 2002 John Wiley & Sons, Ltd. [source]