In this paper, the authors give a refinement of the inequality associated with the medians, inradius and circumradius in a triangle by making use of certain analytical techniques for systems of nonlinear algebraic equations.

This paper presents a neural network for solving non-linear minimax multiobjective fractional programming problem subject to nonlinear inequality constraints. Neural model is designed for optimization with constraints condition. Methodology is based on the lagrange multiplier with saddle point optimization.

For a boundary-value problem of an ordinary differential equation, we prove that the anti-maximum principle holds when the forcing term satisfies an integral inequality. As applications, we consider linear and nonlinear models arising from fishery management problems.

We consider nonlinear nonconvex evolution inclusions driven by time-varying subdifferentials 0(t,x) without assuming that (t,.) is of compact type. We show the existence of extremal solutions and then we prove a strong relaxation theorem. Moreover,r we show that under a Lipschitz condition on the orientor field, the solution set of the nonconvex problem is path-connected in C(T,H). These result...

Nonlinear Benchmark Problem Yi Guo , David J. Hill , Zhong-Ping Jiang Department of Electrical Engineering The University of Sydney, NSW 2006, AUSTRALIA Email: [email protected], [email protected], [email protected] Abstract| In this paper, we study the fuzzy dissipativity design method and apply it to the nonlinear benchmark problem. By representing the nonlinear system with a dynamica...

This paper presents some iterative methods for solving the general nonlinear quasi-variational inequality problem and consider the convergence criteria of the iterative schemes under certain conditions. Some special cases are also discussed.

We review the main techniques used in trust region algorithms for nonlinear constrained optimization. 1. Trust Region Idea Constrained optimization is to minimize a function subject to finitely many algebraic equation and inequality conditions. It has the following form

The automotive hydro-pneumatic integrated suspensionmodel is nonlinear with large dimensions. As a consequence, the nonlinear H 1 control methodology based on the traditional Hamilton-Jacoby-Isaacs equation is impractical in this application. An alternative so-called Parameterized Linear Matrix Inequality (PLMI) approach is proposed for solving this hard nonlinear H 1 control problem. The valid...

By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of hematopoiesis.

We present an isoperimetric inequality for a nonlinear generalization of the first twisted Dirichlet eigenvalue. Let λ(Ω) be the set functional defined by λ(Ω) = inf { ‖∇v‖Lp(Ω) ‖v‖Lq(Ω) , v ∈W }