The five gradients inequality for non quadratic costs by Caillet, Thibault

“…We give a proof of the “five gradients inequality” of Optimal Transportation Theory for general costs of the form $c(x,y)=h(x-y)$ where $h$ is a $C^1$ strictly convex radially symmetric function.…”
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Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions by Hernán R. Henríquez, Marcos Rabelo, Luciana Vale

“…Our results are obtained by using fixed point theory for the measure of noncompactness.…”
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Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation by Tieshan He, Fengjian Yang

“…By means of the minimax methods in the critical point theory, some new results are obtained. Two examples are also given to illustrate the main results.…”
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Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance by Lei Hu, Shuqin Zhang, Ailing Shi

“…We establish the existence results for two-point boundary value problem of fractional differential equations at resonance by means of the coincidence degree theory. Furthermore, a result on the uniqueness of solution is obtained. …”
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Uniqueness of L-Functions Concerning Certain Differential Polynomials by Wen-Jie Hao, Jun-Fan Chen

“…Relying on Nevanlinna theory and the properties of L-functions in the extended Selberg class, we mainly study the uniqueness problems on L-functions concerning certain differential polynomials. …”
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Ontology of functional synergetics in virtual cognitive-semiotic design of information processes and systems by R. G. Bolbakov, V. A. Mordvinov, P. V. Berezkin, I. I. Sivitsky

“…The concept of functional synergetics was clarified and deepened based on the method of ontologies. In the theory of information processes and systems, it is manifested in updating ontologies accompanying scientific and engineering projects that use synergetics as an initial methodological basis. …”
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A note on the homomorphism theorem for hemirings by D. M. Olson

“…The fundamental homomorphism theorem for rings is not generally applicable in hemiring theory. In this paper, we show that for the class of N-homomorphism of hemirings the fundamental theorem is valid. …”
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A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation by Sun Sook Jin, Yang-Hi Lee

“…We investigate the stability of the functional equation 2𝑓(𝑥+𝑦)+𝑓(𝑥−𝑦)+𝑓(𝑦−𝑥)−3𝑓(𝑥)−𝑓(−𝑥)−3𝑓(𝑦)−𝑓(−𝑦)=0 by using the fixed point theory in the sense of Cădariu and Radu.…”
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Refinements of the Lower Bounds of the Jensen Functional by Iva Franjić, Sadia Khalid, Josip Pečarić

“…Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.…”
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A Review of Electronic Band Structure of Graphene and Carbon Nanotubes Using Tight Binding by Davood Fathi

“…The electronic band structure variations of single-walled carbon nanotubes (SWCNTs) using Huckle/tight binding approximation theory are studied. According to the chirality indices, the related expressions for energy dispersion variations of these elements are derived and plotted for zigzag and chiral nanotubes.…”
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1-Quasiconformal Mappings and CR Mappings on Goursat Groups by Qing Yan Wu, Zun Wei Fu

“…This can reduce the determination of 1-quasiconformal mappings to the determination of CR automorphisms of CR manifolds, which is a fundamental problem in the theory of several complex variables.…”
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Solvability of Nonlocal Fractional Boundary Value Problems by Zhongmin Huang, Chengmin Hou

“…The proof relies on coincidence degree theory.…”
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On the Diamond Bessel Heat Kernel by Wanchak Satsanit

“…We find the solution by method of convolution and Fourier transform in distribution theory and also obtain an interesting kernel related to the spectrum and the kernel which is called Bessel heat kernel.…”
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Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations by Yansheng Liu

“…The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.…”
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Fixed Point Theorems for α,k,θ,φ-Contraction Multivalued Mappings in b-Metric Space by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

“…Our results expand and refine some of the literature’s findings in fixed point theory.…”
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Research on Slope Stability Evaluation Based on Improved Set Pair Analysis Method: A Case of Tonglvshan Open-Pit Mine by Xiaojie Yang, Zhenli Hao, Gaotong Ma, Gan Li

“…In this paper, combined with fuzzy analytic hierarchy process (FAHP), information entropy theory, and set pair analysis (SPA) theory, an improved set pair analysis model (EFAHP-SPA) for open-pit mine slope stability evaluation based on entropy method and FAHP is proposed. …”
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Catastrophic and violent tornadoes: a detailed review of physical-mathematical models by Sergey A. Arsen’yev, Lev V. Eppelbaum

“…A method for nonstochastic long-term forecasting using the pattern recognition theory and Fourier analysis has recently been developed. …”
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Analysis and Experimental Demonstration of Reflectarray Antennas in Quasi-Regular Lattices by Borja Imaz-Lueje, Juan Corcoles, Marcos R. Pino, Manuel Arrebola

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EGOISM AS A WAY OUT OF EXISTENTIAL CRISIS FOR A PERSON IN DISABILITY SITUATION by N. A. Mrinskaya

“…Methodological system in the study of the positive role of egoism, the modern theory of meta-anthropology by Nazip Khamitov is used. …”
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The surface tension and cloud condensation nuclei (CCN) activation of sea spray aerosol particles by J. Kleinheins, N. Shardt, U. Lohmann, C. Marcolli

“…This effect is not considered in classical Köhler theory, which assumes droplets to be homogeneous with a surface tension of pure water. …”
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