Summary. In the first part of this paper we are dealing with theoretical statements and conditions which lead to existence and uniqueness of the solution of a nonlinear boundary value problem with delay. Next we apply this method successfully to a numerical example. The computations have been carried out at the computer Siemens 4004.
--ZusammenfassungA Numerical Approach to 2k + e Nonlinear Equations with only k Nonlinear Variables. We derive a method for solving 2k + e nonlinear algebraic equations in 2k unknowns of the form L(x)y -b = 0, which often occur in approximation theory. The method is based on solving a linear overdetermined system and a polynomial equation of the k-th order. To apply our method some numerical examples are presented.
AMS( MOS) Subject Classification: 65H10Key words: Nonlinear overdetermined systems, variational equations, Newton's method.
Ein numerisches Verfahren
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.