In this presentation, we developed an intuitive algorithm based on some simple concepts that were found in this study. It is more e2cient than the best-known existing algorithm. The computational complexity of the proposed ...
A multilevel genetic algorithm (MLGA) is proposed in this paper for solving the kind of optimization problems which are multilevel structures in nature and have features of mixed-discrete design variables, multi-modal and ...
Dynamic rent-seeking games with nonlinear cost functions are analyzed. The local asymptotic stability of the solution is first examined. We show that in the absence of a dominant agent, all eigenvalues of the Jacobian are ...
Let n > 2 be a positive integer and let φ denote Euler's totient function. Define φ1(n) = φ(n) and φk(n) = φ(φk-1(n)) for all integers k ≥ 2. Define the arithmetic function S by S(n) = φ(n) + φ2(n) +...+ φc(n) + 1, where ...
We define a multiplicative arithmetic function D by assigning D(p a) = apa-1, when p is a prime and a is a positive integer, and, for n ≥ 1, we set D0(n) = n and Dk(n) = D(D k-1(n)) when k ≥ 1. We term {Dk(n)}k=0∞ the ...
In this note, it is shown that there exist non-topologically generated spaces which are both Lowen uniformizable and Hutton uniformizable. On the other hand, the FNS-coreflection of the Hutton unit interval I(I) is neither ...
In this paper, we consider an initial-boundary value problem for the following nonlinear telegraph equation Utt - U xx + 2au, + bu = f3(u 2 )xx, where t > 0, a, band (3 are constants. For the case b > a2 , we establish a ...
This paper deals with the well-posedness of the global solution of a small initial value problem for a generalized Boussinesq equation. The conditions for the existence and uniqueness of the solution to the problem are ...