Global existence and Asymptotic behavior for a system of wave equation in presence of distributed delay term

In this paper, we consider the following viscoelastic coupled wave equation with a delay term: $$\begin{gathered} u_{tt}(x,t)-Lu(x,t)-\int_0^t g_1(t-\sigma)L u(x,\sigma)d\sigma + \mu_{1}u_{t}(x,t) + \int_{\tau_1}^{\tau_2} \mu_2(s)u_{t}(x,t-s)ds + f_1(u,\upsilon)=0, \\ \upsilon_{tt}(x,t) - L\upsilon(x,t) - \int_0^t g_{2}(t-\sigma)L \upsilon(x,\sigma)d\sigma + \mu_3\upsilon_t(x,t) + \int_{\tau_1}^{\tau_2} \mu_4(s)\upsilon_{t}(x,t-s)ds + f_{2}(u,\upsilon)=0, \end{gathered}$$ in a bounded domain. Under appropriate conditions on $\mu_{1}$, $\mu_{2}$, $\mu_{3}$ and $\mu_{4}$, we prove global existence result by combining the energy method with the Faedo-Galerkin's procedure. In addition , we focus on asymptotic behavior by using an appropriate Lyapunov functional

Peppermint (Mentha piperita L.) essential oil as a potent anti-inflammatory, wound healing and anti-nociceptive drug

The present investigation was designed to study the chemical composition of Algerian peppermint essential oil (PEO) as well as the in vitro and in vivo anti-inflammatory, wound-healing and anti-nociceptive properties. Twenty-three compounds were identified in the PEO with the main chemical component as menthol (53.29%). Also, PEO showed a high content of oxygenated monoterpene compounds (92.75%). Topical application of PEO at doses of 200 and 20 µL/kg significantly reduced the acute ear edema in 38.09% and 36.50, respectively. Histological observation confirmed that PEO inhibited the skin inflammatory response. In-vivo wound healing activity of the cream prepared from PEO (0.5% w/w) was assessed by circular excision wound model followed by histological examination. The topical administration of PEO cream showed a significant decrease of unhealed wound area rate between the 6th (1.67±0.14 mm2) and the 9th (0.49±0.22 mm2) days of treatment when compared with the vehicle (2.32±0.77 mm2; p<0.05) and Madecassol® 0.1% creams (2.23±0.35 mm2; p<0.05). The PEO reduced nociceptive behavior at all doses tested in the acetic acid-induced nociception test (p<0.05). These findings support the anti-inflammatory, wound-healing and analgesic properties of PEO. We suggest that PEO is a promising candidate for use in skin care products with anti-inflammatory and wound-healing properties. DOI: http://dx.doi.org/10.5281/zenodo.383104

On the Performance of Energy Criterion Method in Wi-Fi Transient Signal Detection

In the development of radiofrequency fingerprinting (RFF), one of the major challenges is to extract subtle and robust features from transmitted signals of wireless devices to be used in accurate identification of possible threats to the wireless network. To overcome this challenge, the use of the transient region of the transmitted signals could be one of the best options. For an efficient transient-based RFF, it is also necessary to accurately and precisely estimate the transient region of the signal. Here, the most important difficulty can be attributed to the detection of the transient starting point. Thus, several methods have been developed to detect transient start in the literature. Among them, the energy criterion method based on the instantaneous amplitude characteristics (EC-a) was shown to be superior in a recent study. The study reported the performance of the EC-a method for a set of Wi-Fi signals captured from a particular Wi-Fi device brand. However, since the transient pattern varies according to the type of wireless device, the device diversity needs to be increased to achieve more reliable results. Therefore, this study is aimed at assessing the efficiency of the EC-a method across a large set of Wi-Fi signals captured from various Wi-Fi devices for the first time. To this end, Wi-Fi signals are first captured from smartphones of five brands, for a wide range of signal-to-noise ratio (SNR) values defined as low (−3 to 5 dB), medium (5 to 15 dB), and high (15 to 30 dB). Then, the performance of the EC-a method and well-known methods was comparatively assessed, and the efficiency of the EC-a method was verified in terms of detection accuracy.publishedVersio

Drugs and herbs in two divergent lines of benign prostatic hyperplasia therapy

Prostatic adenoma, or benign prostate hypertrophy (BPH), is a natural and common disease in elderly men. Its etiology is multifactorial. BPH is associated with annoying symptoms and morbid complications. The treatment of BPH with drugs, or synthetic chemicals, damages hepatic and renal tissues developing cirrhosis and kidney failure. As an alternative, there has been recourse to the use of medicinal plants or natural health. Pumpkin seeds, nettle leaves and soybeans have been proven to be potent against pain and discomfort in BPH patients. Moreover, plants used at high doses during a long period as treatment, may be toxic and complicate the lifestyle of BPH patients. Both, drugs and plants, used without precaution is a dilemma of prevention and toxicity. The patients simultaneously consume the drug and plants to anticipate healing. Combined drug-plant therapy could have harmful effects on health due to an accumulating antagonistic synergy of chemical and natural.

WELL-POSEDNESS AND ASYMPTOTIC STABILITY OF SOLUTIONS TO A BRESSE SYSTEM WITH TIME VARYING DELAY TERMS AND INFINITE MEMORIES

We consider the Bresse system in bounded domain with timevarying delay terms in the internal feedbacks and innite memories acting in the three equations of the system. First, we prove the well-posedness of its solutions in Sobolev spaces by means of semigroup theory. Furthermore, the asymptotic stability is also discussed by using an appropriate Lyapunovfunctional.We consider the Bresse system in bounded domain with timevarying delay terms in the internal feedbacks and innite memories actingin the three equations of the system. First, we prove the well-posedness ofits solutions in Sobolev spaces by means of semigroup theory. Furthermore,the asymptotic stability is also discussed by using an appropriate Lyapunovfunctional

ASYMPTOTIC STABILITY PROPERTIES OF SOLUTIONS TO A BRESSE SYSTEM WITH A WEAK VISCOELASTIC TERM

We consider the Bresse system in bounded domain with a weak viscoelastic terms acting in the one equation of the system under some conditions imposed into the relaxation functions. We study the asymptotic behavior of solutions using suitable energy and Lyapunov functionals.

On convexity for energy decay rates of a viscoelastic wave equation with a dynamic boundary and nonlinear delay term

In this work, we investigate the initial boundary value problem for a system of viscoelastic wave equations in a bounded domain with dynamic boundary conditions related to the Kelvin Voigt damping and nonlinear delay term acting on the boundary. At first, the global existence of solutions is discussed using the potential well method and introducing suitable energy and Lyapunov functionals to establish general decay estimates