Stability of Runge-Kutta Methods for Neutral Delay Differential Equations by Liping Wen, Xiong Liu, Yuexin Yu

“…This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. …”
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Asymptotic Properties of Third-Order Delay Trinomial Differential Equations by J. Džurina, R. Komariková

“…The aim of this paper is to study properties of the third-order delay trinomial differential equation ((1/r(t))y′′(t))′+p(t)y′(t)+q(t)y(σ(t))=0, by transforming this equation onto the second-/third-order binomial differential equation. …”
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The Asymptotic Behavior for a Class of Impulsive Delay Differential Equations by Zhichun Yang

“…This paper is concerned with asymptotical behavior for a class of impulsive delay differential equations. The new criteria for determining attracting sets and attracting basin of the impulsive system are obtained by developing the properties of quasi-invariant sets. …”
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Measure Functional Differential Equations in the Space of Functions of Bounded Variation by S. M. Afonso, A. Rontó

“…We establish general conditions for the unique solvability of nonlinear measure functional differential equations in terms of properties of suitable linear majorants.…”
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Oscillation Solutions for Nonlinear Second-Order Neutral Differential Equations by Omar Bazighifan, Nawa Alshammari, Faten Aldosari, Loredana Florentina Iambor

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Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients by Fatima N. Ahmed, Rokiah R. Ahmad, Ummul K. S. Din, Mohd S. M. Noorani

“…A class of nonlinear neutral delay differential equations is considered. Some new oscillation criteria of all solutions are derived. …”
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Note on Some Nonlinear Integral Inequalities and Applications to Differential Equations by Khaled Boukerrioua

“…International Journal of Differential Equations…”
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Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations by Qixiang Dong, Guangxian Wu, Lanping Zhu

“…This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. …”
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Existence and Compactness Results for a System of Fractional Differential Equations by Cheikh Guendouz, Jamal Eddine Lazreg, Juan J. Nieto, Abdelghani Ouahab

“…The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. …”
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Analytic Solutions of an Iterative Functional Differential Equation near Resonance by Tongbo Liu, Hong Li

“…International Journal of Differential Equations…”
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Least Square Homotopy Perturbation Method for Ordinary Differential Equations by Mubashir Qayyum, Imbsat Oscar

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Partial Differential Equations-Based Segmentation for Radiotherapy Treatment Planning by Frédéric Gibou, Doron Levy, Carlos Cárdenas, Pingyu Liu, Arthur Boyer

“…We develop new image processing techniques that are based on solving a partial differential equation for theevolution of the curve that identifies the segmented organ. …”
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The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type by Hui Liu, Run Xu

“…In this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and 0<α≤1. …”
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Properties of solutions to a second order nonlinear differential equation by Allan J. Kroopnick

“…In this note, we show when all solutions to the nonlinear differential equation x″+c(t)f(x)g(x′)x′+a(t,x)=0 are bounded. …”
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Global Existence for Functional Differential Equations with State-Dependent Delay by Mouffak Benchohra, Imene Medjadj, Juan J. Nieto, P. Prakash

“…Our aim in this work is to study the existence of solutions of a functional differential equation with state-dependent delay. We use Schauder's fixed point theorem to show the existence of solutions.…”
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On Stability of Linear Delay Differential Equations under Perron's Condition by J. Diblík, A. Zafer

“…The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. …”
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Advanced Theoretical and Applied Studies of Fractional Differential Equations 2013 by Dumitru Baleanu, Juan J. Trujillo, Bashir Ahmad

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Solving Nonlinear Partial Differential Equations by the sn-ns Method by Alvaro H. Salas

“…We present the application of the sn-ns method to solve nonlinear partial differential equations. We show that the well-known tanh-coth method is a particular case of the sn-ns method.…”
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A comprehensive literature review of fuzzy differential equations with applications by Kamal Hossain Gazi, Aditi Biswas, Payal Singh, Mostafijur Rahaman, Suman Maity, Animesh Mahata, Sankar Prasad Mondal

Subjects: “…fuzzy differential equations…”
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Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application by Xiao-Feng Yang, Yi Wei

“…The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE). By applying perturbation method, subsidiary ordinary differential equation (sub-ODE) method, and compatible condition to bilinear equation, more exact solutions of NLPDE are obtained. …”
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