A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator

In [1,2] we have developed a method (we call it the S-function method) that is successful in treating certain classes of rational second order ordinary differential equations (rational 2ODEs) that are particularly `resistant' to canonical Lie methods and to Darbouxian approaches. In this present paper, we generalize the S-function method making it capable of dealing with a class of elementary 2ODEs presenting elementary functions. Then, we apply this method to a Duffing-Van der Pol forced oscillator, obtaining an entire class of first integrals

Environmental corporate social responsibility and workplace pro-environmental behaviors: Person-organization fit and organizational identification’s sequential mediation

Organizations’ environmental performance has come increasingly under scrutiny given the need for sustainable, low-carbon economies. Workers’ pro-environmental behaviors (PEBs) can contribute to greener operations, but research on workplace PEBs is still an emerging field. This study examined how employees’ perceptions of environmental corporate social responsibility (CSR) policies and practices are related to their self-reported voluntary PEBs, including person-organization fit (P-O fit) and organizational identification’s role as sequential mediators. Data were gathered from 178 workers from different organizations via an online survey. The results reveal a positive relationship between perceived environmental CSR practices and work PEBs, which are both directly and indirectly connected through P-O fit and organizational identification. Managers can thus use environmental CSR activities to capitalize on employees’ P-O fit and organizational identification, thereby fostering work PEBS.info:eu-repo/semantics/publishedVersio

Organisational climate and pro-environmental behaviours at work: The mediating role of personal norms

Organisations are currently strongly encouraged to adopt more responsible production patterns aligned with sustainable development goals. Pro-environmental behaviours (PEBs) in the workplace can strengthen the expected positive impacts of organisations’ environmental performance and engender more sustainable transitions to low-carbon production. Research on PEBs at work is relatively recent, so this field still lacks studies of the role of organisational policies and practices in workers’ adoption of these behaviours and of psychosocial processes that contribute to more sustainable workplaces. The present research examined how perceptions of organisations’ environmental policies and practices (i.e. organisational climate or injunctive norms) and of coworkers’ PEBs (i.e. descriptive norms) affect employees’ self-reported voluntary PEBs. Thogersen’s norm taxonomy model was also applied to address the role of personal norms. Self-commitment to sustainable goals at work can play a fundamental role in workers’ behavioural choices, so this research further investigated whether personal norms mediate the relationship between perceived pro-environmental organisational climate and reported workplace PEBs. To test the proposed model, data were collected on 210 workers from different business sectors, who completed an online questionnaire. The analyses showed that, after controlling for the effects of tenure, education level and a management position, a pro-environmental organisational climate predicts stronger personal norms and a greater tendency to adopt PEBs at work (adjusted R squared = 0.36), providing evidence of complete mediation. Coworkers’ perceived descriptive norms also contribute directly to self-reported PEBs. The discussion of the results focuses on the importance of organisational level initiatives as a way to promote change in individuals’ behaviours, which can have positive consequences for workplaces’ transition to sustainability.info:eu-repo/semantics/publishedVersio

Solving 1ODEs with functions

Here we present a new approach to deal with first order ordinary differential equations (1ODEs), presenting functions. This method is an alternative to the one we have presented in [1]. In [2], we have establish the theoretical background to deal, in the extended Prelle-Singer approach context, with systems of 1ODEs. In this present paper, we will apply these results in order to produce a method that is more efficient in a great number of cases. Directly, the solving of 1ODEs is applicable to any problem presenting parameters to which the rate of change is related to the parameter itself. Apart from that, the solving of 1ODEs can be a part of larger mathematical processes vital to dealing with many problems.Comment: 31 page

Waste separation—who cares? Organizational climate and supervisor support’s role in promoting pro-environmental behaviors in the workplace

Corporate environmental sustainability is currently a major goal of many businesses. This study’s main objectives were to examine the interactive role of green organizational climate and supervisor support in predicting pro-environmental behaviors (PEBs) at work, namely paper and plastic waste separation, and to test the mediating role of individual-level variables of the Theory of Planned Behavior (TPB) in this relationship. The research specifically tested the attitude, subjective norms, and perceived behavioral control’s mediation of the relationship between green organizational climate and self-reported waste separation, and whether supervisor support moderates the relationship between green climate and TBP variables. Data for this cross-sectional study were collected with an online survey of 311 workers and multiple regression analyses, with the macro Process, were performed to test the hypotheses. The findings confirm the TPB variables’ mediating effect. Perceived green climate is positively related to employees’ attitudes, subjective norms, and perceived behavioral control regarding waste separation, which in turn are connected to higher reported levels of paper and plastic separation. The workers’ perception of supervisor support moderates the relationship between green climate and subjective norms in favor of paper separation. These findings indicate that green climate is less strongly linked to subjective norms when supervisor support is perceived as stronger than when it is seen as weaker. In conclusion, a green organizational climate plays a determining role in workers’ separation of waste at work as it fosters individual motives to perform these behaviors. Moreover, supervisors can provide their workers with social norms and inspire them to support environmental sustainability practices. Thus, as part of an overall transition strategy to achieve sustainability, organizations need to invest in green policies and practices and incentivize supervisors to encourage PEBs and capitalize on their close links to subordinates to foster sustainable norms.info:eu-repo/semantics/publishedVersio