A5100526285- Nonlinear Differential Equations Analysis
- Stability and Controllability of Differential Equations
- Advanced Mathematical Modeling in Engineering
- Differential Equations and Numerical Methods
- Differential Equations and Boundary Problems
- Fractional Differential Equations Solutions
- Radiomics and Machine Learning in Medical Imaging
- Medical Research and Treatments
- MRI in cancer diagnosis
- Educational Reforms and Innovations
- Nonlinear Dynamics and Pattern Formation
- Contact Mechanics and Variational Inequalities
- Substance Abuse Treatment and Outcomes
- Spectral Theory in Mathematical Physics
- Stability and Control of Uncertain Systems
- interferon and immune responses
- Eicosanoids and Hypertension Pharmacology
- Vascular Tumors and Angiosarcomas
- Tumors and Oncological Cases
- Advanced Computational Techniques and Applications
- Vascular Malformations and Hemangiomas
- Innovative Educational Techniques
- Vector-Borne Animal Diseases
- Meromorphic and Entire Functions
- Regional Development and Environment
Lanzhou Jiaotong University
2007-2024
West China Hospital of Sichuan University
2024
Sichuan University
2024
Pearl River Hydraulic Research Institute
2024
Hetao College
2023
Northwest Normal University
2011-2013
Hunter Genetics
2012
Air Force General Hospital PLA
2012
South Central Minzu University
2011
In this paper, we consider a second order evolution equation in Banach space, which can model an elastic system with structural damping. New forms of the corresponding first are introduced, and their well-posed property is proved by means operator semigroup theory. We give sufficient conditions for analyticity exponential stability associated semigroups.
Tick-borne infectious diseases pose a serious health threat in certain regions of the world. Emerging caused by novel tick-borne pathogens have been reported that are causing particular concern. Several often coexist same foci, and single vector tick can transmit two or more at time, which greatly increases probability co-infection host animals humans lead to an epidemic disease. The lack epidemiological data information on specific clinical symptoms related with means it is not currently...
Abstract: An infantile hemangioma is a congenital benign tumor formed by the proliferation of vascular cells during embryonic stage. It more common in skin but can also occur mucous membranes, liver, brain and muscle. Hepatic appears to be tumor; however, it may lead poor outcomes because severe complications, such as high-output cardiac failure. The main treatment hepatic infants oral drugs, propranolol glucocorticoids, clinical response not always satisfactory. We describe rare case...
In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss existence mild second order evolution equation initial value problem an ordered Banach space, which can model elastic system with structural damping. Under condition noncompactness measure on nonlinearity, obtain extremal positive solutions. Moreover, some applications are given illustrate our theoretical results.
This paper deals with the existence and uniqueness of mild solutions for a second order evolution equation initial value problem in Banach space, which can model an elastic system structural damping. The discussion is based on operator semigroups theory fixed point theorem. In addition, example presented to illustrate our theoretical results.
The periodic boundary value problem is discussed for a class of fractional evolution equations. existence and uniqueness results mild solutions the associated linear equations are established, spectral radius resolvent operator accurately estimated. With aid estimation, positive obtained by using monotone iterative technique. As an application that illustrates abstract results, example given.
This article is concerned with the existence of mild solutions to initial value problem for a class semilinear evolution equations fractional order. New theorems are obtained by means fixed point theorem condensing maps. The results extend some related in this direction. Mathematics Subject Classification (2000): 34A12; 35F25.
Abstract This paper discusses the existence of strong solutions for a class semilinear evolution equations with nonlocal initial conditions in Hilbert spaces. The discussion is based on analytic semigroups theory and fixed point theorem. An application to partial differential equation condition also considered. Mathematics Subject Classification(2010) : 34G20; 34K30; 35D35; 47D06.
A system of four coupled ordinary differential equations is considered, which are through migration both prey and predator model with logistic type growth. Combinedeffect quiescence providesa more realistic way modeling the complex dynamicalbehavior. The global stability Hopf bifurcation solutions investigated.
By means of the fixed point theory strict set contraction operators, we establish a new existence theorem on multiple positive solutions to singular boundary value problem for second‐order impulsive differential equations with periodic conditions in Banach space. Moreover, an application is given illustrate main result.
To evaluate the diagnostic value of ultrasound in grading portal vein stenosis (PVS) a rat model 70% partial hepatectomy (PH). A total 96 Sprague-Dawley rats were randomly divided into PH group and PVS groups with mild, moderate, severe following PH. Hemodynamic parameters measured using high-frequency (5-12 MHz linear transducer), including pre-stenotic, stenotic, post-stenotic diameters (PVDpre, PVDs, PVDpost); pre-stenotic stenotic velocity (PVVpre, PVVs); hepatic artery peak systolic...
In this paper, we utilize the theory of operator semigroups, stochastic analysis and fixed point theorem to investigate existence asymptotic stability in p-th moment mild solutions for a second order evolution equation initial value problem. This problem can model an elastic system with damping, results obtained be applied nonlinear vibration equations damped beams. Finally, provide example illustrate applicability our conclusions.
In this article, we study the existence of mild solutions and approximate controllability for a class systems governed by neutral equations second-order with infinite delay in infinite-dimensional Hilbert spaces. The solution are achieved constructing fundamental associated linear equation assuming that system is approximately controllable. discussion based on theory Rothe's fixed point theorem. addition, an example given to illustrate our main conclusion.
Abstract Background To investigate the relationship between mono-exponential diffusion- weighted imaging (DWI) parameters and time-intensity curve (TIC) characteristics generated from dynamic contrast-enhanced (DCE) MRI of breast cancer. Materials Methods A total 108 patients with cancer were prospectively enrolled in this study. All underwent DWI DCE-MRI examination. Patients divided into untypical TIC groups; pattern was defined as a wash-in/plateau curve, typical wash-out curve. The...
In this article, we study the approximate controllability for a semilinear second-order stochastic neutral evolution equation with infinite delay in Hilbert spaces. The mild solution and are achieved by constructing fundamental associated linear assuming that system is approximately controllable. Finally, an example given to illustrate our main conclusion.