Fundamental solutions of the instationary Schrödinger difference operator
نویسندگان
چکیده
منابع مشابه
Fundamental Solutions of the Instationary Schrödinger Difference Operator
In this paper we will study the existence of fundamental solutions for the explicit and implicit backward time dependent Schödinger equation, via discrete Fourier transform and its symbol for the Laplace operator. In both cases we will prove that the discrete fundamental solutions obtained converges to the continuous fundamental solution in the l1−norm sense.
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In this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. Suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $E_k(1, f^{n}(z)f(z+c))=E_k(1, g^{n}(z)g(z+c))$. Then we prove that if one of the following holds (i) $n geq 14$ and $kgeq 3$, (ii) $n geq 16$ and $k=2$, (iii) $n geq 22$ and $k=1$, then $f(z)equiv t_1g(z)$ or $f(...
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ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2010
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236190902813983