A5101584852- Optimization and Variational Analysis
- Advanced Harmonic Analysis Research
- Functional Equations Stability Results
- Advanced Banach Space Theory
- Approximation Theory and Sequence Spaces
- Fixed Point Theorems Analysis
- Numerical methods for differential equations
- Advanced Optimization Algorithms Research
- Nonlinear Differential Equations Analysis
- Economic theories and models
- Advanced Differential Equations and Dynamical Systems
- Contact Mechanics and Variational Inequalities
- Circular RNAs in diseases
- Housing Market and Economics
- Mathematical Dynamics and Fractals
- Iterative Methods for Nonlinear Equations
- MicroRNA in disease regulation
- Quantum chaos and dynamical systems
- Mathematical Inequalities and Applications
- advanced mathematical theories
- Topology Optimization in Engineering
- Probability and Risk Models
- Differential Equations and Boundary Problems
- Advanced Control Systems Optimization
- Cancer-related molecular mechanisms research
First Affiliated Hospital of Jinan University
2022
Jinan University
2022
Neijiang Normal University
2009-2017
Sichuan University
2013
Nanchang University
2001-2010
Xinjiang University
2005
Although convex (concave) solutions were investigated for the polynomial-like iterative equation on a compact interval of R, there are much more difficulties in discussion convexity Banach spaces.In this paper we consider partial order spaces, which is defined by an cone, and discuss monotonicity operators under iteration spaces.Then give existence monotone ordered real spaces further obtain conditions or concave order.Moreover, uniqueness continuous dependence those also discussed.
Hepatic encephalopathy (HE) often presents with varying degrees of cognitive impairment. However, the molecular mechanism its impairment has not been fully elucidated. Whole transcriptome analysis hippocampus between normal and HE mice was performed by using RNA sequencing. 229 lncRNAs, 49 miRNAs 363 mRNAs were differentially expressed in mice. The lncRNA-miRNA-mRNA interaction networks established, Gene Ontology (GO) Kyoto Encyclopedia Genes Genomes (KEGG) pathway analyses performed....
We study continuous solutions of the 3rd-order iterative equation linear dependence for hyperbolic cases and generalize results to n th-order polynomial-like equation, in some recursively. This paper partly answers question raised Remark 7 (Yang Zhang Aequ. Math. 67:80-105, 2004) open problem by Matkowski (Aequ. 37:119, 1989) 26th international symposium on functional equations. MSC:39B12, 37E05.
Because of difficulty using Schauder's fixed point theorem to the polynomial-like iterative equation, a lots work are contributed existence solutions for equation on compact set. In this paper, by applying Schauder-Tychonoff we discuss monotone and convex an open set (possibly unbounded) in <TEX>$\mathbb{R}^N$</TEX>. More concretely, considering partial order <TEX>$\mathbb{R}^N$</TEX> defined cone, prove increasing decreasing further obtain conditions under which order.
In this paper, we establish some maximal ϕ-inequalities for demimartingales that generalize the results of Wang (Stat. Probab. Lett. 66, 347-354, 2004) and et al. (J. Inequal. Appl. 2010(838301), 11, 2010) improve Doob's type inequality in cases. Mathematics Subject Classification (2010): 60E15; 60G48
By applying Schauder's fixed point theorem we investigate the existence of increasing (decreasing) solutions iterative equation <svg style="vertical-align:-3.56265pt;width:94.512497px;" id="M1" height="16.6625" version="1.1" viewBox="0 0 94.512497 16.6625" width="94.512497" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path id="x210B" d="M702 678l12 -14l-18 -14q-124 -96 -232 -310q25 10 62 21l53 18l33 43q101...
In this paper, by applying the Schauder's fixed point theorem we prove existence of increasing and decreasing solutions polynomiallike iterative equation with variable coefficients further completely investigate convex (or concave) equation. The uniqueness continuous dependence those are also discussed.
The conjugacy problem is one of the central questions in dynamical systems. Many works have devoted to problems horseshoe maps with same number laps, which a kind continuous, piecewise monotone interval maps. This paper considers semi-conjugacies from m-horseshoe n-horseshoe for m>n≥2. We first give new orientation-preserving/reversing partition on their domains. Then by Matkowski’s fixed point principle we prove existence construct some sequences functions approximate these...