Dağıstan ŞİMŞEK | Peyil Esengul Kızı | Meerim İmaş Kızı
In this paper the solutions of the following difference equation is examined:
x(n+1) = x(n-7)/1 + x(n-3), n = 0, 1, 2, 3, ...
where the initial conditions are positive real numbers.
The Cauchy problem with a rapidly oscillating initial condition for the homogeneous Schrodinger equation was studied in [5]. Continuing the research ideas of this work and [3], in this paper we construct the asymptotic solution to the following mixed problem for the nonstationary Schrodinger equation:
L(h)u ih partial derivative(t)u + h(2)partial derivative(2)(x)u - b(x,t)u = f(x,t) (x,t) is an element of Omega = (0,1) x (0,t],
u vertical bar(t=0) = g(x), u vertical bar(x=0) = u vertical bar(x=1) = 0
where h > 0 is a Planck constant, u = u(x,t,h). b(x,t), f (x,t) is an element of C-infinity ...Daha fazlası