Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping

The initial boundary value problem for a system of viscoelastic wave equations of Kirchhoff type with strong damping is considered. We prove that, under suitable assumptions on relaxation functions and certain initial data, the decay rate of the solutions energy is exponential

Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy

In this paper we consider the viscoelastic wave equation of Kirchhoff type: $$u_{tt}-M(\|\nabla u\|_{2}^{2})\Delta u+\int_{0}^{t}g(t-s)\Delta u(s){\rm d}s+u_{t}=|u|^{p-1}u$$ with Dirichlet boundary conditions. Under some suitable assumptions on $g$ and the initial data, we established a global nonexistence result for certain solutions with arbitrarily high energy.Comment: 12 page

Construction of sterile system of Buchloe dactyloides (Nutt.) Engelm.

The stems of male and female strains of Bison grass (Buchloe dactyloides (Nutt.) Engelm.) were taken as explants, and 1 / 2MS and MS medium were used, and different concentrations of NAA, KT and 6-BA were added to study the rapid propagation technology of ferison grass. Results indicated that 75% alcohol was treated for 30s with another 0.1 g ꞏL-1The disinfection effect of mercury solution for 12 min; The MS + 1.5 mg ꞏL-1 NAA + 0.4 mg ꞏL-1 KT female strain showed the best induction effect, The MS + 1.5 mg ꞏL-1 NAA + 0.6 mg ꞏL-1 KT male strain had the best induction effect; 1 / 2 MS + 2 mg + L-1 NAA + 1.5 mg ꞏL-1 6-BA the female and male strains had the best proliferation effect; The highest number of roots and root root rate of 1 / 2 MS + 1.5 mg ꞏL-1 female and male NAA strains were combined

Network of anxiety and depression symptoms in older Chinese adults living alone: a cross-sectional study

BackgroundWith the rapid aging of China’s population, the proportion of older adults living alone has increased significantly, bringing their mental health concerns into sharp focus. This study aims to explore the network structure of anxiety and depressive symptoms among older Chinese adults who live alone, thereby identifying central and bridging symptoms to provide scientific evidence for potential intervention targets in prevention and treatment.MethodsA total of 1,952 older Chinese adults, aged 65 and older, living alone, were selected from the Chinese Longitudinal Healthy Longevity Survey (CLHLS) conducted in 2017-2018. We assessed anxiety and depressive symptoms using Generalized Anxiety Disorder Scale (GAD-7) and the Center for Epidemiologic Studies Depression Scale (CES-D). We identified central and bridge symptoms via expected influences (EI) and bridge expected influences (BEI); network stability was evaluated using bootstrap methods.ResultsThe network structure uncovered four crucial connections between anxiety and depressive symptoms. GAD4 “Trouble relaxing”, GAD2 “Uncontrollable worry”, and CESD3 “Feeling blue/depressed” exhibited the highest EI values within the network. Meanwhile, GAD1 “Nervousness or anxiety” and CESD10 “Sleep disturbances” showed the highest BEI values within their respective communities.ConclusionThis exploratory study is the first to examine the reciprocal relationship between depressive and anxiety symptoms in older Chinese adults living alone. Targeting these central and bridging symptoms may effectively prevent comorbidity and facilitate targeted interventions for those at risk or currently experiencing these symptoms

Decay of solutions for a plate equation with p-Laplacian and memory term

In this note we show that the assumption on the memory term g in Andrade [1] can be modified to be $g'(t)leq -xi(t)g(t)$, where $xi(t)$ satisfies $$xi'(t)leq0,quad int_0^{+infty}xi(t){m d}t=infty.$$ Then we show that rate of decay for the solution is similar to that of the memory term

General Decay and Blow-Up of Solutions for a System of Viscoelastic Equations of Kirchhoff Type with Strong Damping

The general decay and blow-up of solutions for a system of viscoelastic equations of Kirchhoff type with strong damping is considered. We first establish two blow-up results: one is for certain solutions with nonpositive initial energy as well as positive initial energy by exploiting the convexity technique, the other is for certain solutions with arbitrarily positive initial energy based on the method of Li and Tsai. Then, we give a decay result of global solutions by the perturbed energy method under a weaker assumption on the relaxation functions

Optimizing anesthesia strategies to NSCLC patients in VATS procedures: Insights from drug requirements and patient recovery patterns

OPTIMIZING ANESTHESIA STRATEGIES TO NSCLC PATIENTS IN VATS PROCEDURES: INSIGHTS FROM DRUG REQUIREMENTS AND PATIENT RECOVERY PATTERNS Open medicine (Rights reserved) (-) Optimizing anesthesia strategies to NSCLC patients in VATS procedures: Insights from drug requirements and patient recovery patterns / Kong, Linghui (CC BY) (-