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Nonlinear impulsive Hahn—Sturm—Liouville problems on the whole line
No full textImpulsive Hahn—Sturm—Liouville problems in singular cases are discussed. The existence
of solutions of such equations on the whole axis and in the case of Weyl’s limit-circle has been
investigated. First, we construct the corresponding Green’s function. This boundary-value
problem is thus reduced to a fixed point problem. Later, we demonstrate the existence
and uniqueness of the solutions to this problem by using the traditional Banach fixed
point theorem. Finally, we derive an existence theorem without considering the solution’s
uniqueness. We apply the well-known Schauder fixed point to obtain this result
Borden Parker Bowne and American Personalism
No full textAmerican personalism did not emerge as a random phenomenon. Firstly, it was shaped by political, social,
and importantly, economic factors. Secondly, this personalism has always been closely linked to its historical roots,
particularly with German theological schools, a connection it has consistently maintained. The fact that many American
scholars and philosophers, as well as the majority of representatives of the personalism school, received their education
extensively in Europe, especially in Germany, is not coincidental. Moreover, their ongoing relationships with Europe’s
scientific environment further confirm this fact. It is known that Methodism is primarily a Protestant movement widely
spread in the United States and Great Britain. Although Borden Parker Bowne’s system of personalism developed primarily
within a philosophical paradigm, it was largely an idea – personalism – that also drew heavily from theology. In this sense,
his teachings on personalism primarily emerged as a liberalizing phenomenon. In the United States, the personalism
promoted by the Boston School formed in alignment with Protestantism, liberalism, and historically established traditions,
responding to the modern conditions, demands, and challenges of the time, as well as serving as an intellectual response
to pragmatism (alongside and in certain respects influenced by it), market economics, secularization, and events stemming
from this context. Thus, American personalism also arose against the backdrop of social problems and conflicts within
society, which prompted its emergence. Looking at the Western European philosophical milieu, it is evident that it had
the potential to generate spiritual crises such as existentialism and personalism. Furthermore, as noted earlier, the foundations
of American personalism were also shaped by European philosophical teachings, directly drawing nourishment from
them. These European teachings chronologically span a period of 200 years from the 17th to the 19th centur
Quantum thermodynamics of the charged AdS black hole with nonlinear electrodynamics field
No full textIn this paper, we investigate the thermodynamic properties of an AdS-charged black hole coupled with a nonlinear electrodynamic field, taking into account the effects of thermal fluctuations. Our analysis focuses on how thermal fluctuations impact the entropy of the black hole. It is known that at the quantum level, thermal fluctuations bring about changes in the entropy of a black hole in both exponential and logarithmic ways. We present the logarithmic and exponentially corrected thermodynamic characteristics of the black hole, such as Helmholtz free energy, pressure, enthalpy, Gibbs free energy, and specific heat. A comparative analysis of equilibrium states with corrected thermodynamic potentials is conducted to observe the significant influence of the black hole under consideration. Additionally, we examine a second-order phase transition in the case of non-perturbed correction
V “Məmməd Araz Poeziya günü”nə yekun vurulub
Get PDFOn April 22, 2024, as part of the V "Mammed Araz Poetry Day", a ceremony was held to award the winners of the poetry contest across the republic, announced last year on the occasion of the poet's 90th birthday
Xəzər Universitetində “Mübariz” filminin təqdimatı
Get PDFOn March 29, 2024, the presentation of the full-length feature film "Mubariz" dedicated to the national hero of Azerbaijan, Mubariz Gurbanov, was held in the Marble Hall of Khazar University. University staff and students attended the event
