We present a pursuit differential game for an infinite system of two-block equations in Hilbert space l2. The pursuer and evader control functions are subject to integral constraints. is said be completed if the state falls into origin l2 at some finite time. purpose bring controlled l2, whereas evader’s aim prevent this. For optimal time, we obtain equation construct strategies players.

Abstract We will introduce numerical methods for systems of ODEs by considering the celebrated FitzHugh-Nagumo model published FitzHugh [1] in 1961 and, independently, Nagumo et. al. [2] 1962. The is a system ordinary differential equations with two unknowns, and commonly used as simple action potentials excitable pacemaker cells.

in this article we have considered a non-standard finite difference method for the solution of second order  fredholm integro differential equation type initial value problems. the non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the fredholm integro-differential equation into a system of equations. we have also developed a numerical met...

in this paper, the sinc collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by khalil, r., al horani, m., yousef, a. and sababeh, m. in a new definition of fractional derivative, j. comput. appl. math. 264 (2014), 65{70. the properties of sinc functions are ...

In this paper, we investigatethe boundary value problem for differential pencils on the half-linewith a turning point. Using a fundamental system of solutions, wegive a asymptotic distribution of eigenvalues.

in this paper, we apply the differential transform (dt) method for finding approximate solution of the system of linear and nonlinear volterra integro-differential equations with variable coefficients, especially of higher order. we also obtain an error bound for the approximate solution. since, in this method the coefficients of taylor series expansion of solution is obtained by a recurrence r...

In this paper, dynamic and stability analysis of a flexible cam-follower system is investigated. Equation of motion is derived considering flexibility of the follower and camshaft. Viscous and Coulomb frictions are considered in the rocker arm pivot. The normalized equation of motion of the system is a 2nd- order differential equation with periodic coefficients. Floquet theory is employed to s...