Multiplicity Results for Positive Solutions to Differential Systems of Singular Coupled Integral Boundary Value Problems

By constructing a special cone and using a fixed-point theorem in cone, this paper investigates the existence of multiple solutions of coupled integral boundary value problems for a nonlinear singular differential system

On existence of positive solutions of coupled integral boundary value problems for a nonlinear singular superlinear differential system

By constructing a special cone and using fixed point index theory, this paper investigates the existence of positive solutions of singular superlinear coupled integral boundary value problems for differential systems $$\left\{ \begin{array}{ll} -x''(t)=f_1(t,x(t),y(t)),\ \ t\in (0,1),&\\ -y''(t)=f_2(t,x(t),y(t)),\ \ t\in (0,1),&\\ x(0)=y(0)=0, x(1)=\alpha[y], y(1)=\beta[x],& \end{array} \right.$$ where $\alpha[x], \beta[x]$ are bounded linear functionals on $C[0,1]$ given by $$\alpha[x]=\int_0^1x(t)dA(t), beta[x]=\int_0^1x(t)dB(t)$$ with $A,B$ functions of bounded variation with positive measures

Monotone iterative technique for (k,n−k)(k, n-k) conjugate boundary value problems

In this paper, a comparison result for $(k, n-k)$ conjugate boundary value problems is established. By using the monotone iterative technique and the method of upper and lower solutions, we investigate the existence of extremal solutions for a nonlinear differential equation with $(k, n-k)$ conjugate boundary value problems. As an application, an example is presented to illustrate the main results

Existence of solutions for second-order integral boundary value problems

In this paper, using a new comparison result and monotone iterative method, we consider the existence of solution of integral boundary value problem for second-order differential equation. To obtain corresponding results, we also discuss second order differential inequalities. The interesting point is that the one-sided Lipschitz constant is related to the first eigenvalues corresponding to the relevant operators

Existence Results for Singular Boundary Value Problem of Nonlinear Fractional Differential Equation

By applying a fixed point theorem for mappings that are decreasing with respect to a cone, this paper investigates the existence of positive solutions for the nonlinear fractional boundary value problem: 0+()+(,())=0, 0<<1, (0)=′(0)=′(1)=0, where 2<<3, 0+ is the Riemann-Liouville fractional derivative

Existence and nonexistence results for second-order Neumann boundary value problem

In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u),    t∈(0,1) </CENTER>with Neumann boundary conditions <CENTER>u'(0)=u'(1)=0, </CENTER>where M>0,  f∈<B>C</B>([0,1]×<B>R</B><SUP>+</SUP>, <B>R</B><SUP>+</SUP>). By making use of fixed point index theory in cones, some new results are obtained

Analyzing Green Finance Incentives: An Empirical Study of the Chinese Banking Sector

Climate change is a major contemporary issue. In response, financial institutions offer green financing to fund low-carbon investments to those organizations who want to help mitigate this issue. Nevertheless, a lack of green credit remains the case. Therefore, to learn how to close this financing gap, this empirical study explores China’s green finance through the lens of the Chinese banks who are the providers of such loans. Green finance has been growing rapidly in China since the Chinese government issued the Green Credit Policy. Previous studies have posited that banks have incentives in the form of credit risk management, new business opportunities, corporate reputation, and compliance risk to offer green loans. The objective of this thesis is to ascertain whether green loans provide better risk management and more business opportunities in practice. As a part of the research, this thesis explores China’s banking system and the development of, and current research into, China’s Green Credit Policy. This study identifies a distinct characteristic of the Chinese banking system (i.e., heavy government involvement) and posits how the government may influence the development of green finance in China. A dataset with a panel design was collected to perform the quantitative tests. The dataset contains financial and green finance data from 24 banks in China between 2009 and 2015. Panel regression techniques, such as Two-stage Least Square Regression Analysis (2sls) and Random-effect Panel Regression (RE), were used to examine whether the banks’ green finance practices lead to better financial performance. The results reveal that green loans grow at a faster rate than do other types of loans, and that allocating more green loans to the total loan portfolio reduces a bank’s NPL ratio. The findings imply that green financing is a less risky investment with increasing demand. Through empirical evidence, this thesis contributes to the existing green finance literature and fills the literature gap on the Green Credit Policy in China through its study of the policy’s implementation from the banks’ perspective

A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator

In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions is established, a sufficient and necessary condition on existence of blow-up solutions is given, and some further results are obtained.&nbsp

New uniqueness results for boundary value problem of fractional differential equation

In this paper, uniqueness results for boundary value problem of fractional differential equation are obtained. Both the Banach's contraction mapping principle and the theory of linear operator are used, and a comparison between the obtained results is provided