International Journal Of Nonlinear Analysis And Applications
Volume:16 Issue: 7, Jul 2025

In this manuscript, we investigate a (p, q)-Schrödinger-Kirchhoff equation involving a continuous positive potential that meets the del Pino-Felmer type conditions. Using Recceri's classical variational approach, we prove the existence of three weak solutions.

In this paper, we introduce the subclass $\mathcal{K}\mathcal{S}(\alpha)$ of univalent functions in $\mathcal{A}$ and study some properties of this class. We apply matters of differential subordinations, to investigate some results concerning the subclasses $\mathcal{K}\mathcal{S}(\alpha)$ and $\mathcal{B}\mathcal{S}(\alpha)$ of $\mathcal{A}$, where $\alpha \in [0,1)$.

In the present study, the expected returns of cryptocurrencies were compared capital asset pricing model (CAPM) and downside capital asset pricing model (D-CAPM) approaches. For this purpose, fifty cryptocurrencies were studied as representative of risky assets in a five-year period from 2018 to 2022 with daily frequency. First, the panel was investigated using Levin-Lin-Chu, Im-Pesaran, and Shin and Dickey-Fuller's tests. Then, using paired t-statistics, the difference between the return estimates of the two models was investigated. Finally, using R2 and the generalized linear test model, the better model was selected to justify the changes in asset returns in these cryptocurrencies and portfolios. Based on the results, in almost 90% of the analyzed portfolios, the D-CAPM model was better than the CAPM model and had more justification power than the old CAPM model. In less than 1% of the models, the degree of justification and the appropriateness of the models were the same.

In this paper, we extend the $q$-derivative operator, which plays an essential role in quantum calculus. Indeed, by using the Hadamard product and generalized Koebe function we define the following $(\alpha,\beta,\gamma)$-derivative operator\begin{equation*}    {\rm d}_{\alpha,\beta,\gamma} f(z)=\frac{1}{z}\left\{f(z)*\mathfrak{L}_{\alpha,\beta,\gamma}(z)\right\},\end{equation*}where\begin{equation*}    \mathfrak{L}_{\alpha,\beta,\gamma}(z)=\frac{2(1-\gamma)z}{(1-\alpha z)(1-\beta z)},\end{equation*}and $\alpha\in[-1,1]$, $\beta\in[-1,1]$, $\alpha\beta\neq \pm1$ and $\gamma\in[0,1)$. Then by subordination relation, the operator ${\rm d}_{\alpha,\beta,\gamma} f(z)$, and a special function $\phi_\delta(z)=1+\delta z/\exp(\delta z)$ ($0<\delta\leq1$), we define a new particular Ma-Minda class. We investigate some properties of this class, such as, radius problem and coefficient estimate.

The purpose of this research is to study the factors affecting financial reporting transparency using the meta-analysis method. In the present research, 3rd version of the meta-analysis software was used to test the hypotheses and objectives of the research. The results showed that the square of accord (I2) statistics was above 90%. For both research hypotheses, a z-value of 1.96 was obtained; on the other hand, the p-value was less than 0.05 for each research, which indicates that the research hypotheses can be confirmed with a 95% confidence level or 5% error. The Z-values are 3.15, and 5.30, respectively, and the p-values are 0.001, and 0.000 for the first and second hypotheses respectively.

We establish the existence and uniqueness of solutions to a mean-field reflected backward stochastic differential equation with an infinite horizon under a Lipschitz condition on the coefficient. As an application, we prove the existence of an optimal strategy for the mean-field mixed stochastic control problem.

The historical study of Iran's economy shows that one of the main problems that Iran's economy has always faced is exchange rate fluctuations and their effects. For this purpose, in the current research, wavelet coherence analysis has been used to investigate the relationship between the exchange rate and the rental rate (the price of money in the housing market) in different time scales between the spring of 1980 and the winter of 2021. The results show that in the short-term time scale, The real exchange rate and the rental rate have a high degree of coherence, and the two variables are in opposite phases in most intervals, which shows the confirmation of the monetary model with a sticky price. But in the medium-term and long-term time scale, this relationship is the same phase, which shows the approval of the monetary model with flexible prices. Also, the results show that in the long term, this relationship was significant only in years when the real exchange rate was negative and strictly controlled.

The main goal of this study was to design a model of technological business accelerators in communication service companies. The method used in this study included exploratory designs. The preset study was fundamental in terms of the goal. The statistical population of this study in the qualitative section consisted of experts and the quantitative section consisted of managers at Iran’s telecommunication companies. For this, 19 experts in this field were interviewed via semi-structured in-depth methods. The interviews were analyzed by using Atlas T8 Software. According to the grounded theory analysis of the specialized interviews, 52 indicators were finally determined. Fuzzy Delphi was used to screen and ensure the significance of the identified indicators and select the final indicators. The Interpretive Structural Model (ISM) was used to determine the relationship and significance of activities. Data in the quantitative section were analyzed based on data collected using questionnaires in the statistical population of corporate managers. The method used was a structural equation method and path analyses were performed in SPSS and SmartPLS software. Qualitative section findings led to the identification of 52 selective codes. Using the fuzzy Delphi method for screening, 11 main categories were identified. In the Interpretive Structural Model, coaching and technological entrepreneurship were ranked first. Findings revealed that considering the current situation of the country and understanding the appropriate position of technological businesses in creating employment and new opportunities in economic fields, as well as the recognition of the accelerators of technological businesses in communication service companies help create new opportunities for entrepreneurs to achieve economic and social accomplishments in society. In the end, the study model was confirmed in the form of hypotheses.

The wave equations are one of the most important equations in engineering and physics, which are usually formulated as hyperbolic partial differential equations with special boundary conditions. In this paper, a numerical method for solving these equations based on Bernstein polynomials is introduced. The properties of Bernstein polynomial operational matrices turn this differential equation and its boundary conditions into a system of algebraic equations. Some numerical examples illustrate the accuracy, validity, and applicability of the new technique.

According to the increasing concern of rejecting the connection with unethical behaviours and its underlying factors, paying attention to the ethical behaviour of auditors in the current era has gained great importance, and the abundance of research conducted in this chapter and recent studies is proof of this claim. In this regard, the present study aims to explain the role of social trust structures on auditors' ethical responsibilities by predicting the causal relationships between social trust structures on auditors' moral responsibilities by predicting the causal relationships between confidence, honesty, openness, trust-based behaviour, and cooperative tendencies and ethical responsibilities of auditors. The statistical population of this research is employed and non-employed certified accountants and a standardized questionnaire was used to collect data. After conducting the reliability and validity tests of the sample data, related analyses were done based on the linear structural relations. The results of the structural model show that some constructs of social trust, including honesty, openness, trust-based behaviour and cooperation-seeking tendencies, have a significant effect on auditors' ethical responsibilities.

In this paper, we introduce an effective multistep collocation method for solving delay differential equations (DDEs) with constant delays. We determine the convergence properties of the proposed method for delay differential equations with solutions in appropriate Sobolev spaces and show that the proposed scheme enjoys spectral accuracy. Numerical results show that the proposed method can be implemented efficiently and accurately for various DDE model problems.

Supply chain management is an efficient approach for reducing production costs and shortening waiting time. Field method and interview tools were used to identify variables and reference patterns, and the history and background of the issue were examined with the documentary method. This study aimed to present a model of problem-solving in the supply chain of the heavy leather industry with a system dynamics approach. The documentary method examined the reference patterns and the history and background of the problem. This study was conducted on 302 active and semi-active productions, including 162 heavy leather industry managers and business owners in Charmshahr Tabriz (Split) and 140 in cow leather. The analysis method was the simulation of system dynamics by VENSIM software. The decrease in the supply of cow rawhide increased the bargaining power of intermediaries and brokers in selling rawhide. It reduced the bargaining power of leather trimmers for the supply and purchase of rawhide. The supplier forces the buyer to sell the rawhide at any price and quality by reducing the bargaining power of supplying the rawhide. Therefore, the price of each kilo of rawhide increased thrice in the last two years due to the decrease in the supply of rawhide.

Economic institutions and companies in the industry generally keep part of their assets in the form of cash balances, and determining the amount of cash is one of the crucial decisions taken by the management of the business unit. Therefore, this study evaluated the life cycle of dynamic cash holding and cash management policies of companies admitted to the Tehran Stock Exchange. The population of this research is the companies accepted in the Tehran Stock Exchange, which were tested in the time series between 2015 and 2021 using library and field methods. A multivariate regression line equation was used to test the hypotheses and estimate the statistical relationships between the life cycle of dynamic cash holdings and the cash management policies of companies. The results showed that the life cycle of dynamic cash holding significantly affected the cash management policies of companies listed on the Tehran Stock Exchange.

In this paper, the class of nonconvex vector-valued optimization problems with inequality constraints is considered. We introduce two constraint qualifications and derive the weak and strong Karush-Kuhn-Tucker type of necessary conditions for a (weakly) efficient solution to the considered problem. All results are given in terms of Dini directional derivative and Clarke subdifferential.

The problem of distinguishing between distributions is always important. It becomes more complicated when data is contaminated by outliers. Here, we use two well-known Lindley and exponential distributions infected by outliers. The closeness of the Lindley distribution in comparison with the exponential distribution with outliers is discussed in this research. Three ways such as likelihood ratio, asymptotic likelihood ratio tests and minimum Kolmogorov distance are used to select the proper fitted model for a real data set. We perform Monte Carlo simulation to obtain the probability of correct selection for various values of sample sizes and parameters based on the best criteria in the distributions. In general, it has been seen that the Lindley distribution is closer to exponential distribution contaminated by outliers based on the likelihood ratio and Kolmogorov criteria. An actual example of real data is used to see the behaviour of the distributions.