Abstract. We show that the fourth-order nonlinear ODE which controls the pole dynamics in the general solution of equation P 2 I compatible with the KdV equation exhibits two remarkable properties: (1) it governs the isomonodromy deformations of a 2× 2 matrix linear ODE with polynomial coefficients, and (2) it does not possess the Painlevé property. We also study the properties of the Riemann–H...

We consider amathematical model in the form of a system of ordinary differential equations (ODE) foroptimally administrating cancer treatments. The ODE systemdynamics characterized by locating equilibrium points and stability propertiesare determined by linearization and usingappropriate Lyapunovfunctions. By applying optimal control theory, we seek to minimize the cost function associated with...

sheikh bahaee is one of the greatest scientists and literary men of the islamic world. he has valuable writing and works in different fields. sheikh bahaee was a poet speaking arabic and persian very well. he also wrote poems in both languages. one of the most well-known poems of his the ode -alfaoz walaman fe madhe sahebe zaman- which consists of 63 verses dedicated to the praise of amam mahde...

I. INTRODUCTION Delay systems occupy a special place within the field of distributed parameter systems. Certain problems for this class of distributed parameter systems lend themselves to more elegant, or even explicit solutions. An enormous wealth of knowledge and research results exists for control of systems with state delays and input delays. Problems with long input delays, for unstable pl...

We analyze a time independent integral equation defined on a spatially extended domain which arises in the modeling of neuronal networks. In our survey, the coupling function is oscillatory and the firing rate is a smooth “heaviside-like” function. We will derive an associated fourth order ODE and establish that any bounded solution of the ODE is also a solution of the integral equation. We wil...