A Shape Optimal Control Problem with Changing Sign Data

An optimal control problem for a engineering system

In this article, we apply this new method for solving an engineering systemwith initial and boundary conditions and integral criterion ,and we will usingdynamic programming as iteration for solving model.

A Sign-Changing Solution for a Superlinear Dirichlet Problem

We show that a superlinear boundary value problem has at least three nontrivial solutions. A pair are of one sign (positive and negative, respectively), and the third solution changes sign exactly once. The critical level of the sign-changing solution is bounded below by the sum of the two lesser levels of the one-sign solutions. If nondegenerate, the one sign solutions are of Morse index 1 and...

A Novel Volcano Smoke Antenna with Optimal Shape

The design of a novel volcano smoke antenna for UWB indoor applications is presented. The design method is based on a general description for the geometry of UWB monopole antennas which is capable of producing most possible shapes for these antennas. It is also compatible with different optimization methods. In addition to a volcano smoke antenna, this method is used to design two optimized mon...

Infinitely many solutions for a bi-nonlocal‎ ‎equation with sign-changing weight functions

In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)