Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications by Caiqin Wang, Hongbin Xie, Zengtai Gong

“…The obtained results provide a framework for analyzing nonlinear differential equations.…”
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Modified Wiener equations by Will Watkins

“…This paper is concerned with a class of functional differential equations whose argument transforms are involutions. …”
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Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions by Xian-Feng Zhou, Song Liu, Zhixin Zhang, Wei Jiang

“…The monotonicity of the solutions of a class of nonlinear fractional differential equations is studied first, and the existing results were extended. …”
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Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media by Ivan Tsyfra, Tomasz Czyżycki

“…The method is also applicable to nonstationary and nonintegrable in quadratures differential equations.…”
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Cryptographic secrecy of steganographic matrix encoding by Jia-yong CHEN, Jiu-fen LIU, Yue-fei ZHU, Wei-ming ZHANG

“…Based on an information theory model,the cryptographic security of matrix encoding,which can be applied in steganographic codes or wet paper codes,under different attack conditions was studied.The cryptographic security about matrix encoding under the condition of known-cover attack with key equivocation,message equivocation and unicity distance of stego-key was presented.The result that n groups of differential equations could sufficiently recover the share key of matrix encoding under the condition of chosen-stego attack was pointed out.…”
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Algebro-Geometric Solutions of a (2+1)-Dimensional Integrable Equation Associated with the Ablowitz-Kaup-Newell-Segur Soliton Hierarchy by Xiaohong Chen

“…The (2+1)-dimensional Lax integrable equation is decomposed into solvable ordinary differential equations with the help of known (1+1)-dimensional soliton equations associated with the Ablowitz-Kaup-Newell-Segur soliton hierarchy. …”
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Positive Solutions for Singular p-Laplacian Fractional Differential System with Integral Boundary Conditions by Liping Wang, Zongfu Zhou, Hui Zhou

“…This paper investigates the existence of positive solutions for a class of singular p-Laplacian fractional differential equations with integral boundary conditions. …”
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Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay by Bo Zhu, Minhui Zhu

“…An example involving partial differential equations with noninstantaneous impulses is given to show the application of our main results.…”
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Existence of Solutions for G-SFDEs with Cauchy-Maruyama Approximation Scheme by Faiz Faizullah

“…We present the Cauchy-Maruyama (CM) approximation scheme and establish the existence theory of stochastic functional differential equations driven by G-Brownian motion (G-SFDEs). …”
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A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions by Hamid Lmou, Khalid Hilal, Ahmed Kajouni

“…In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. …”
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Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay by Xian-Feng Zhou, Song Liu, Wei Jiang

“…Some flaws on impulsive fractional differential equations (systems) have been found. This paper is concerned with the complete controllability of impulsive fractional linear time-invariant dynamical systems with delay. …”
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Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays

“…The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf bifurcation theorem due to Wu and Bendixson's criterion for high-dimensional ordinary differential equations due to Li and Muldowney. It is shown that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of the sum of two delays. …”
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Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System by Peiguang Wang, Tiantian Kong

“…We study the boundary value problems of second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. …”
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Function Spaces with a Random Variable Exponent by Boping Tian, Yongqiang Fu, Bochi Xu

“…After discussing the properties of the spaces 𝐿𝑝(𝜔)(𝐷×Ω) and 𝑊𝑘,𝑝(𝜔)(𝐷×Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.…”
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Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints by Yong Guo

“…The Galerkin method is applied to produce a set of ordinary differential equations. The effect of the internal material length scale parameter on the critical flow velocity is investigated. …”
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A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method by Changqing Yang, Jianhua Hou

“…The collocation method transforms the differential equation into a system of algebraic equations. …”
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Nonuniform Continuity of the Osmosis K(2, 2) Equation by Aiyong Chen, Yong Ding, Wentao Huang

“…The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. …”
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Analytic Approximation of the Solutions of Stochastic Differential Delay Equations with Poisson Jump and Markovian Switching by Hua Yang, Feng Jiang

“…Most SDDEsPJMSs cannot be solved explicitly as stochastic differential equations. Therefore, numerical solutions have become an important issue in the study of SDDEsPJMSs. …”
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On Partial Complete Controllability of Semilinear Systems by Agamirza E. Bashirov, Maher Jneid

“…Many control systems can be written as a first-order differential equation if the state space enlarged. Therefore, general conditions on controllability, stated for the first-order differential equations, are too strong for these systems. …”
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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.…”
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