Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications by Fengrong Zhang, Xiangshuai Zhang, Yan Hao

“…The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. …”
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A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping by Pushpendra Semwal, Ramesh Chandra Dimri

“…We also give an application to certain functional equations arising in dynamic programming.…”
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Control of Nonlinear Distributed Parameter Systems Based on Global Approximation by Chunyan Du, Guansheng Xing

“…We extend an iterative approximation method to nonlinear, distributed parameter systems given by partial differential and functional equations. The nonlinear system is approached by a sequence of linear time-varying systems, which globally converges in the limit to the original nonlinear systems considered. …”
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Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder by Marina Chugunova, Roman M. Taranets

“…We obtain sufficient conditions for finite speed of support propagation and for waiting time phenomena by application of a new extension of Stampacchia's lemma for a system of functional equations.…”
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Contrast Expansion Method for Elastic Incompressible Fibrous Composites by Piotr Drygaś, Vladimir Mityushev

“…Contrast parameter expansion of the elastic fields for 2D composites is developed by Schwarz’s method and by the method of functional equations for the case of circular inclusions. …”
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Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations by M. De la Sen

“…The proofs are based on a Perron-type theorem for functional equations so that the comparison is governed by the real part of a dominant zero of the characteristic equation of the nominal differential equation. …”
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Linear algebra and differential geometry on abstract Hilbert space by Alexey A. Kryukov

“…Tensor equations then describe families of functional equations on various spaces of functions. The formalism itself and its applications in linear algebra, differential equations, and differential geometry are carefully analyzed.…”
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Optimization Design Method of Offset Slider Crank Mechanism based on the Optimum Transmission Force Performance by Ye Jinhu

“…The offset slider crank mechanism transmission angle function is derived,and the explicit analytical function equation for the sum of unit invalid force（ the symbol is） in the slow working-stroke is derived too. …”
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Equivariant Perturbation in Gomory and Johnson’s Infinite Group Problem. VII. Inverse Semigroup Theory, Closures, Decomposition of Perturbations by Hildebrand, Robert, Köppe, Matthias, Zhou, Yuan

“…The infinite-dimensional subspaces have partial symmetries; to describe them, we develop a theory of inverse semigroups of partial bijections, interacting with the functional equations satisfied by the perturbations. Our paper provides the foundation for grid-free algorithms for the Gomory–Johnson model, in particular for testing extremality of piecewise linear functions whose breakpoints are rational numbers with huge denominators.…”
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A Decision-Making Model Using Machine Learning for Improving Dispatching Efficiency in Chengdu Shuangliu Airport by Yingmiao Qian, Shuhang Chen, Jianchang Li, Qinxin Ren, Jinfu Zhu, Ruijia Yuan, Hao Su

“…The mathematical methods such as function equation, BP neural network algorithm, and queuing theory were used to establish a complete decision-making model for taxi drivers and an optimization model of dispatching efficiency at the airport. …”
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On Complex Differential-Difference Equations of Malmquist Type by Jianjun Zhang

“…We also consider related complex functional equations in the paper. These results are improvements of some several previous results.…”
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The Existence and Uniqueness of Global Solutions to the Initial Value Problem for the System of Nonlinear Integropartial Differential Equations in Spatial Economics: The Dynamic Co... by Minoru Tabata, Nobuoki Eshima

“…This system of equations is an essentially new kind of system of nonlinear integropartial differential equations in the theory of functional equations. The purpose of this paper is to obtain a sufficient condition for the initial value problem for this system to have a unique global solution.…”
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Analysis of Pose and Workspace Characteristic of 5-DOF Parallel Robot by Zhiyong Yang, Hongjun Zhou, Qiao Fang, Zihao Zhang, Jun Wang, Chen Miao

“…The robot workspace constraint equation and objective function equation are established， the tool end space pose are analyze， and spatial scatter diagrams and three-dimensional diagrams are drawn. …”
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Analysis of Influencing Factors and Mechanism of Strength of Cement-Modified Silty Sand by Weidong Jin, Zhe Wang, Yongming Ai, Chenyang Liu

“…Two kinds of different water qualities have little effect on unconfined compressive strength of cement-improved soil; with the increase in cement content, the unconfined compressive strength increases, and the power function equation established by the two is significantly correlated. …”
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A Modern Syllogistic Method in Intuitionistic Fuzzy Logic with Realistic Tautology by Ali Muhammad Rushdi, Mohamed Zarouan, Taleb Mansour Alshehri, Muhammad Ali Rushdi

“…The MSM combines the premises into a single function equated to 1 and then produces the complete product of this function. …”
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Sexing the sternal rib end in modern Greeks: A virtual osteometric approach using high-resolution 3D surface models by Ioanna Karagiorgou, Ioanna Anastopoulou, Fotios Alexandros Karakostis, Elena Kranioti, Konstantinos Moraitis

“…The cross-validated discriminant functions equations for the current sample, produced results ranging between 74.0–82.9% indicating that population-specific formulas produce results of higher accuracy, that are vital in cases of forensic interest.…”
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A Novel an All-Optical Refractive Index Biosensor Based-on Glass Cylinder Cavity Resonance for Detection of Malaria-Infected Red Blood Cells by Gregory T. MacLennan

“…The interaction of light with matter and samples of Maxwell's functional equations, and to obtain the output results in the software, the finite difference time domain method in two-dimensional is used. …”
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Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State by Hui Zhang, Wenbin Zha, Xiangrong Xu, Yongfei Zhu

“…Its convergence is verified by establishing the Lyapunov function equation and asymmetric term. The trajectory optimization results show that the proposed trajectory optimization method can increase the individual diversity and enhance the individual local optimization, thus avoiding the premature impact of the elite retention genetic algorithm. …”
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Dynamic Modeling and Adaptive Robust Synchronous Control of Parallel Robotic Manipulator for Industrial Application by Haiqiang Zhang, Hairong Fang, Qi Zou, Dan Zhang

“…Furthermore, linear parameterization regression matrix was determined by virtue of command function “equationsToMatrix” in MATLAB. Secondly, the three adaptive robust synchronous controllers (i.e., sliding mode control, high gain control, and high frequency control) are developed, by incorporating the camera sensor technique into adaptive robust synchronous control architecture. …”
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Study on the safety distance determination model for natural gas wells in Ordos Basin subsidence areas of coal mining by Wen Wang, Yang Zhang, Shuang Gong, Junqi Lei, Jiandong Ren, Yanxiong Ding, Xiaowei Lu

“…Abstract To optimize the safe distance between coal mining faces and natural gas wells, with the Ordos Basin as the engineering background for the intersectional development of natural gas and coal resources, a Gaussian function equation for subsidence curves under complete mining was proposed based on the probability integral method, and a model was constructed to determine the coordinated mining safety distance between coal mining faces and natural gas wells. …”
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