we investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers.  in particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.

the composition of the essential oils of nepeta crispa willd. and n. menthoides boiss. and buhse (lamiaceae) was investigated by means of gas chromatography (gc) and gc- mass spectrometery (ms). 1, 8-cineole was the most abundant component in oils: nepeta crispa (71%) and n. menthoides (41.1%). in the oil of n. crispa, b-pinene (5%) and d-terpineol (4.1%) were found to be the major constituents...

‎We define hyperbolic harmonic $omega$-$alpha$-Bloch space‎ ‎$mathcal{B}_omega^alpha$ in the unit ball $mathbb{B}$ of ${mathbb R}^n$ and‎ ‎characterize it in terms of‎ ‎$$frac{omegabig((1-|x|^2)^{beta}(1-|y|^2)^{alpha-beta}big)|f(x)-f(y)|}{[x,y]^gamma|x-y|^{1-gamma}‎},$$ where $0leq gammaleq 1$‎. ‎Similar results are extended to‎ ‎little $omega$-$alpha$-Bloch and Besov spaces‎. ‎These obtained‎...

introduction: due to the cell labeling potentials of various metal-maltol complexes, the idea of developing a possible cell labeling imaging agent using single photon emission computed chromatography (spect) with[111in]-maltolate complex has been investigated. methods: [111in] labeled 3-hydroxy-2-methyl-4h-pyran-4-onate ([111in]-maltolate) was prepared using freshly prepared [111in]incl3 and ...

Objective: A field experiment was conducted at Dorud region, Iran, during 2013. The aim of this research  was study on effect of different biofertilizers and irrigation closed time on some agronomic characteristics of sugar beet (Beta vulgaris L.). Methods: The experimental design was factorial based on RCBD with three replications. Treatments were three irrigation closed time [Oct-6 (...

Objective: A field experiment was conducted at Dorud region, Iran, during 2013. The aim of this research  was study on effect of different biofertilizers and irrigation closed time on some agronomic characteristics of sugar beet (Beta vulgaris L.). Methods: The experimental design was factorial based on RCBD with three replications. Treatments were three irrigation closed time [Oct-6 (...

Let G be a (p,q) graph and A be a group. We denote the order of an element $a in A $ by $o(a).$  Let $ f:V(G)rightarrow A$ be a function. For each edge $uv$ assign the label 1 if $(o(f(u)),o(f(v)))=1 $or $0$ otherwise. $f$ is called a group A Cordial labeling if $|v_f(a)-v_f(b)| leq 1$ and $|e_f(0)- e_f(1)|leq 1$, where $v_f(x)$ and $e_f(n)$ respectively denote the number of vertices labelled w...