We will study the asymptotic solutions for a nonlinear damped wave problem showing the existence and uniqueness of solutions by contraction mapping {[ v_tt + 2κ v_t-η v_xx=-δ∂ _x( | v| ^ρv); v( 0,x) =γ( x) , v_t( 0,x) =χ( x) , x∈ ]. where Ω =[ -π ,π] , κ , η , δ , ρ >0 . We prove that if initial data γ∈ H^1 and χ∈L^2 , then there exists” a unique solution u(t,x) ∈ C([0,+∞ ):H^1) of the periodic problem for all t>0 .
This study examines the association between coastal climate pressure and labor market vulnerability in four Colombian Caribbean cities: Barranquilla, Cartagena, Santa Marta, and Riohacha. Using open-access secondary sources from DANE, IDEAM, UNGRD, INVEMAR, and DNP, the study constructs a 48-observation city-quarter analytical panel and estimates city and period fixed-effects models, distributed-lag specifications, and an event study design. A one-standard-deviation increase in climate pressure was associated with a 0.90 percentage point increase in informality (robust SE = 0.15, p < 0.001) and a 0.25 standard deviation increase in the composite labor vulnerability index (robust SE = 0.04, p < 0.001). The contemporaneous effect remained positive in the distributed-lag model, while the first lag was weaker and the second lag was not statistically distinguishable from zero. Emergency-quarter estimates also indicated a temporary increase in informality relative to the pre-event quarter. Taken together, the results provide empirical evidence consistent with a short-run relationship between hydrometeorological pressure and labor vulnerability in Colombian Caribbean coastal cities.
Introduction. This study investigates the relationship between start-up ecosystems (SE) and start-up performance (SP) in the Australian environment. It analyses SE as a critical antecedent of SP by considering the underlying effects of network learning capability (NLC). Objective. We test the hypothesized relationships by a study of 203 start-ups in Australia and validate the theoretical model using survey information. Materials and Methods. We apply a structural equation modelling PLS-SEM. Results. The results verify the positive influence of SE on SP independently of NLC development. Nevertheless, network learning as a capability acts as a moderator by establishing the impact of the SE on SP. The moderating is determined by a strong NLC linking the SE’s government, financial and organisational support. Conclusions. The findings contribute to the literature on entrepreneurship and innovation with relevant management implications by providing new evidence regarding the benefits of SE in terms of SP effectiveness.
Reliable electricity supply is essential for healthcare institutions, particularly where grid instability can disrupt service continuity, compromise patient safety, and affect the operation of critical medical equipment. In this context, selecting an appropriate photovoltaic (PV) proposal is a complex decision problem that requires assessing technical, economic, environmental, and regulatory factors jointly. This study develops a hybrid multi-criteria decision-making framework that integrates the Fuzzy Analytic Hierarchy Process (FAHP), the Decision-Making Trial and Evaluation Laboratory (DEMATEL), and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) to support PV proposal selection in healthcare institutions. The framework was applied to four competing proposals for a hospital case study in Barranquilla, Colombia. After integrating FAHP and DEMATEL, the economic, technical, and environmental criteria received balanced interdependence-adjusted weights of 0.324, 0.337, and 0.338, respectively. At the same time, DEMATEL identified the technical dimension as the main net influencing dimension within the expert-elicited influence network. The final ranking placed Proposal 1 first, followed by Proposal 4, Proposal 2, and Proposal 3, with closeness coefficients of 0.530, 0.518, 0.498, and 0.492, respectively. Additional comparative analysis showed that omitting DEMATEL changed the winning alternative, whereas preserving the FAHP–DEMATEL weighting structure and replacing TOPSIS with MARCOS yielded the same ranking. Robustness analyses further showed that the ranking remained stable in most supplier-exclusion and leave-one-expert-out scenarios. In contrast, bootstrap-based probabilistic sensitivity analysis showed that Proposal 1 ranked first in 96.2% of the replications. These results support the practical usefulness of the proposed framework for decision-making in healthcare energy planning.
Introduction: Sterile surgical textiles are critical supplies for hospital biosafety and the continuity of surgical procedures. In the Colombian Caribbean, their supply depends largely on suppliers located in other regions, which increases logistics costs and delivery times. Objective: To design and validate a business model for the local production of sterile surgical textiles in the department of Atlántico. Methodology: A mixed-methods design of an exploratory-descriptive and cross-sectional nature was employed. The literature review followed the PRISMA 2020 guidelines and was conducted using Scopus, WOS, and institutional reports from the 2015–2025 period. Sixty documents were extracted, and the analysis was supplemented with surveys of 15 experts in the health sector, which were subjected to descriptive statistical analysis and thematic coding. The final model was structured using Canvas, TAM-SAM-SOM, Design Thinking, and Lean Startup. Results: It was determined that 80% of the experts considered the presence of regional suppliers to be viable. The resulting model projected a reduction in logistics costs of between 15% and 20%, an IRR of 35%, and an ROI of 33.5% by the third year. Conclusions: The evidence led to the conclusion that local production is a factor in strengthening the resilience of hospital supply chains.
