Strongly Nonlinear Generalized Equations

STRONGLY REGULAR NONSMOOTH GENERALIZED EQUATIONS (revised)

This note presents an implicit function theorem for generalized equations, simultaneously generalizing Robinson’s implicit function theorem for strongly regular generalized equations and Clarke’s implicit function theorem for equations with Lipschitz-continuous mappings.

Generalized Strongly Nonlinear Implicit Quasivariational Inequalities

Generalized Strongly Set-valued Nonlinear Complementarity Problems

In this paper, we introduce a new class of generalized strongly set-valued nonlinear complementarity problems and construct new iterative algorithms. We show the existence of solutions for this kind of nonlinear complementarity problems and the convergence of iterative sequences generated by the algorithm. Our results extend some recent results in this field.

Some Asymptotic Methods for Strongly Nonlinear Equations

Explicit Solutions of Generalized Nonlinear Boussinesq Equations

By considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The decomposition series analytic solution of the problem is quickly obtained by observing the existence ...