Results 1 to 10 of about 1,853 (128)

Product-type system of difference equations of second-order solvable in closed form

Electronic Journal of Qualitative Theory of Differential Equations, 2015
This paper presents solutions of the following second-order system of difference equations $$x_{n+1}=\frac{y_n^a}{z_{n-1}^b},\qquad y_{n+1}=\frac{z_n^c}{x_{n-1}^d},\qquad z_{n+1}=\frac{x_n^f}{y_{n-1}^g},\qquad n\in N_0,$$ where $a,b,c,d,f,g\in Z$, and ...
Stevo Stevic
doaj   +5 more sources

Closed-form solutions for the Schrödinger wave equation with non-solvable potentials: A perturbation approach

Open Physics, 2021
To obtain closed-form solutions for the radial Schrödinger wave equation with non-solvable potential models, we use a simple, easy, and fast perturbation technique within the framework of the asymptotic iteration method (PAIM).
Alrebdi Haifa Ibrahim, Barakat Thabit
doaj   +3 more sources

The nonlinear convolutional equations solvable in closed form

Mathematical Modelling and Analysis, 1997
„The nonlinear convolutional equations solvable in closed form" Mathematical Modelling Analysis, 2(1), p.
V. A. Kakichev
doaj   +3 more sources

On a product-type system of difference equations of second order solvable in closed form [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stevic, Bratislav Iricanin, Zdenek Šmarda   +2 more
exaly   +4 more sources

Two-dimensional product-type system of difference equations solvable in closed form [PDF]

Advances in Difference Equations, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stevic, Bratislav Iricanin, Zdenek Šmarda   +2 more
exaly   +3 more sources

Some classes of linear conjugation problems for a three-dimensional vector that are solvable in closed form

Siberian Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S N Kiyasov, Kiyasov S N
exaly   +6 more sources

Solvable non-Hermitian discrete square well with closed-form physical inner product [PDF]

Journal of Physics A: Mathematical and Theoretical, 2014
A non-Hermitian $N-$level quantum model with two free real parameters is proposed in which the bound-state energies are given as roots of an elementary trigonometric expression and in which they are, in a physical domain of parameters, all real. The wave function components are expressed as closed-form superpositions of two Chebyshev polynomials.
Miloslav Znojil
exaly   +3 more sources

First-order product-type systems of difference equations solvable in closed form

Electronic Journal of Differential Equations, 2015
We show that the first-order system of difference equations $$ z_{n+1}=\alpha z_n^aw_n^b,\quad w_{n+1}=\beta z_n^cw_n^d,\quad n\in\mathbb{N}_0, $$ where $a,b,c,d\in\mathbb{Z}$, $\alpha,\beta \in\mathbb{C}\setminus\{0\}$, $z_0, w_0\in\mathbb{C ...
Stevo Stevic
doaj   +2 more sources

Third-order product-type systems of difference equations solvable in closed form

Electronic Journal of Differential Equations, 2016
It is shown that a class of third order product-type systems of difference equations is solvable in closed form if initial values and multipliers are complex numbers, whereas the exponents are integers, by finding the formulas for the general solution
Stevo Stevo Stevic
doaj   +2 more sources

Robust SAR Waveform Design for Extended Target in Spectrally Dense Environments [PDF]

Sensors
To enhance the signature of an extended target in a SAR image, a robust waveform design method is presented for spectrally dense environments. First, the problem is formulated by maximizing the worst-case signal-to-clutter ratio (SCR) over the ...
Rui Zhang, Fuwei Wu, Bing Gao, Ge Xu, Jianwei Wu, Jiawei Zhang   +5 more
doaj   +2 more sources