Opuscula Mathematica
Loading...
ISSN 1232-9274
e-ISSN: 2300-6919
Issue Date
2010
Volume
Vol. 30
Number
No. 4
Description
Journal Volume
Opuscula Mathematica
Vol. 30 (2010)
Projects
Pages
Articles
Necessary optimality conditions for predator-prey system with a hunter population
(2010) Apreutesei, Narcisa C.
An optimal control problem is studied for a predator-prey reaction-diffusion system. A hunter population is introduced in the ecosystem and it is interpreted as a control variable. One finds necessary optimality conditions in order that, in the end of a given time interval, the total density of the two populations is maximal.
On some dynamical reconstruction problems for a nonlinear system of the second-order
(2010) Blizorukova, Marina; Maksimov, Vyacheslav
The problem of reconstruction of unknown characteristics of a nonlinear system is considered. Solution algorithms stable with respect to the informational noise and computational errors are specified. These algorithms are based on the method of auxiliary positionally controlled models.
Existence and attractivity results for nonlinear first order random differential equations
(2010) Dhage, Bapurao C.; Ntouyas, Sotiris K.
In this paper, the existence and attractivity results are proved for nonlinear first order ordinary random differential equations. Two examples are provided to demonstrate the realization of the abstract developed theory.
On the global attractivity and the periodic character of a recursive sequence
(2010) Elsayed, E. M.
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence $x_{n+1} = ax_n + \frac{bx_{n-1}+cx_{n+2}}{dx_{n-1}+ex_{n+2}}, \quad n=0,1,\ldots,$, where the parameters $a$, $b$, $c$, $d$ and $e$ are positive real numbers and the initial conditions $x_{-2}$, $x_{-1}$ and $x_{0}$ are positive real numbers.
Right focal boundary value problems for difference equations
(2010) Henderson, Johnny; Liu, Xueyan; Lyons, Jeffrey W.; Neugebauer, Jeffrey T.
An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete boundary value problem. In the application of the fixed point theorem, neither the entire lower nor entire upper boundary is required to be mapped inward or outward. A nontrivial example is also provided.