Boundedness of solutions to a time-dependent semiconductor model

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress

Boundedness of Solutions to Linear Differential Equations

In the case of a linear constant coefficient differential equation, & = Ax, where x is a (complex) n-vector and A is a (complex) nXn matrix, it is well known when all solutions are bounded; namely, if all eigenvalues of A are purely imaginary and all elementary divisions of A are simple. This condition is equivalent to the Jordan normal form, / , of A being (Hermitian) skew symmetric. That is i...

Boundedness of solutions to a retarded Liénard equation

This paper is concerned with the following retarded Liénard equation x(t) + f1(x(t))(x (t)) + f2(x(t))x (t) + g1(x(t)) + g2(x(t− τ(t))) = e(t). We prove a new theorem which ensures that all solutions of the above Liénard equation satisfying given initial conditions are bounded. As one will see, our results improve some earlier results even in the case of f1(x) ≡ 0.

the innovation of a statistical model to estimate dependable rainfall (dr) and develop it for determination and classification of drought and wet years of iran

آب حاصل از بارش منبع تأمین نیازهای بی شمار جانداران به ویژه انسان است و هرگونه کاهش در کم و کیف آن مستقیماً حیات موجودات زنده را تحت تأثیر منفی قرار می دهد. نوسان سال به سال بارش از ویژگی های اساسی و بسیار مهم بارش های سالانه ایران محسوب می شود که آثار زیان بار آن در تمام عرصه های اقتصادی، اجتماعی و حتی سیاسی- امنیتی به نحوی منعکس می شود. چون میزان آب ناشی از بارش یکی از مولفه های اصلی برنامه ...

Exact Solutions to Time-Dependent MDPs

We describe an extension of the Markov decision process model in which a continuous time dimension is incllMcd in the stat(', space. This allows tbr the representation and exact solution of a wide range of prohleins in which transitions or rewards vary over time. We examine problems based on route planning with public transportation and telescope observation scheduling.