On the stability of the linear delay differential and difference equations by A. Ashyralyev, P. E. Sobolevskii

“…We consider the initial-value problem for linear delay partial differential equations of the parabolic type. We give a sufficient condition for the stability of the solution of this initial-value problem. …”
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The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative by Chun-Guang Zhao, Ai-Min Yang, Hossein Jafari, Ahmad Haghbin

“…Analytical solutions for the homogeneous and nonhomogeneous local fractional differential equations are discussed by using the Yang-Laplace transform.…”
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On Eigenvalues of the Generator of a C0-Semigroup Appearing in Queueing Theory by Geni Gupur

“…We describe the point spectrum of the generator of a C0-semigroup associated with the M/M/1 queueing model that is governed by an infinite system of partial differential equations with integral boundary conditions. …”
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Sociodynamics applied to the evolution of urban and regional structures by Wolfgang Weidlich

“…From it the set of nonlinear coupled differential equations for the quasi-meanvalues of the macrovariables can be derived.…”
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The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation by Rubén Figueroa

“…The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when dealing with ordinary differential equations with functional arguments of bounded variation. …”
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Benjamin-Ono Equation on a Half-Line by Nakao Hayashi, Elena I. Kaikina

“…We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.…”
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Hyperbolic differential-operator equations on a whole axis by Yakov Yakubov

“…Then we show applications of obtained abstract results to hyperbolic differential equations which, in particular, may represent the longitudinal displacements of an inhomogeneous rod under the action of forces at the two ends which are proportional to the acceleration.…”
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Building Infinitely Many Solutions for Some Model of Sublinear Multipoint Boundary Value Problems by Guy Aymard Degla

“…The idea of the proof is of independent interest since it shows a constructive way to have ordinary differential equations with multiple solutions.…”
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The Method of Lines for Ternary Diffusion Problems by Henryk Leszczyński, Milena Matusik

“…These equations are transformed by a discretization in space variables into systems of ordinary differential equations. The proposed ODEs satisfy the mass conservation law. …”
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Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method by Saleh Alshammari, Salah Abuasad

“…Two examples are given to prove the proficiency of the suggested method, to resolve diverse categories of fractional partial differential equations.…”
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Positive Solutions of a Generalized Nonautonomous Fractional Differential System by Mohammed S. Abdo, Heba Y. Zahran, El Sayed Yousef, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty

“…In this work, we investigate the existence and uniqueness of positive solutions to a system of nonautonomous fractional differential equations. The fractional derivative of the system at hand is ψ- Riemann–Liouville fractional derivative. …”
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Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics by Ahmed Alawneh

“…This enzyme-substrate reaction is formed by a system of nonlinear ordinary differential equations of fractional order. The fractional derivatives are described in the Caputo sense. …”
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Calculation of bending deflection and stresses of a pipe with flowing fluid in the case of variable ground load by Rimantas Didžgalvis, Antanas Sudintas, Irena Tiknevičienė

“…Using the methods of approximate solutions of differential equations, the analytical pipe bend dynamic expressions were given at the case, when the ground load minimises expo­nentially. …”
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Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate by Li Yingke, Chen Liang, Wang Kai

“…Applying some classical analysis techniques for ordinary differential equations and the method proposed by Wang (2002), the threshold value for the permanence and extinction of the model was obtained.…”
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Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation by Masoud Mosaddeghi

“…By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized Zakharov equation are classified in to different parametric regions. …”
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Calculation of pipe bend and tension in case of fluid velocity pulsation by Rimantas Didžgalvis, Antanas Sudintas, Irena Tiknevičienė

“… The mathematical model of a bend pipe with a flowing fluid at a fluid pulsation was created. By solving differential equations, an analytical expression of solution is received, which may be well used for calculation of normal tension of the pipe at different ground load quantities and flow velocity pulsation. …”
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Centralized and Decentralized Data-Sampling Principles for Outer-Synchronization of Fractional-Order Neural Networks by Jin-E Zhang

“…Using centralized and decentralized data-sampling principles and the theory of fractional differential equations, sufficient criteria about outer-synchronization of the controlled fractional-order neural networks are derived for structure-dependent centralized data-sampling, state-dependent centralized data-sampling, and state-dependent decentralized data-sampling, respectively. …”
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions by Shoukry Ibrahim Atia El-Ganaini

“…The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. …”
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Numerical Method for a Markov-Modulated Risk Model with Two-Sided Jumps by Hua Dong, Xianghua Zhao

“…We first derive a system of differential equations for the Gerber-Shiu function. Furthermore, a numerical result is given based on Chebyshev polynomial approximation. …”
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Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector by A. Lecko, M. Lecko

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