in this paper, we have tried to find a solution for quick transfer of nuclear wastes from pools of cool water to dry stores to reduce the environmental concerns and financial cost of burying atomic waste. therefore, the rate of heat transfer from atomic waste materials to the outer surface of the container should be increased. this can be achieved by covering the bottom of the pool space with c...

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...

A brief survey of recent results on distributional and entire solutlosof ordinary differential equations (ODE) and functional differential equations (FDE) is given. Emphasis is made on lnear equations with polynomial coefficients. Some work on generallzed-functlon solutions of integral equations is also mentioned.

This paper proposes modeling of canine cardiac action potential using fractional differential equations (FDE). The movement of ions across cardiac myocytes (heart muscle) generates a voltage signal which propagates along the body of the cell as action potential. The complex behavior of such physiological events can be understood by developing mathematical models that describe the biological phe...

We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution equations over Banach spaces, time-delay systems, ordinary differential equations (ODE), switched systems. These characterizations generalize wellknown criteria of ISS, proved by Sontag and Wang for ODE systems. For the special case of diffe...

Recently, a remarkable correspondence has been unveiled between a certain class of ordinary linear differential equations (ODE) and integrable models. In the first part of the report, we survey the results concerning the 2nd order differential equations , the Schrödinger equation with a polynomial potential. We will observe that fundamental objects in the study of the solvable models, e.g., Bax...

Recently, a remarkable correspondence has been unveiled between a certain class of ordinary linear differential equations (ODE) and integrable models. In the first part of the report, we survey the results concerning the 2nd order differential equations , the Schrödinger equation with a polynomial potential. We will observe that fundamental objects in the study of the solvable models, e.g., Bax...

in this paper, we investigate the application of the homotopy perturbation method (hpm) for solving a one-dimensional nonlinear inverse heat conduction problem. in this problem the thermal conductivity term is a linear function with respect to unknown heat temperature in bounded interval. furthermore, the temperature histories are unknown at the end point of the interval. this problem is ill-po...