Convexity, boundedness, and almost periodicity for differential equations in Hillbert space by Jerome A. Goldstein

Subjects: “…differential equations in Hilbert space…”
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Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations by K. S. Govinder

“…We apply the method of preliminary group classification to ordinary differential equations of the form y(n)=E(x,y,y',…,y(n-1),fi(x)),  i=0,…,m. …”
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Stability analysis of linear multistep methods for delay differential equations by V. L. Bakke, Z. Jackiewicz

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A New Comparison Principle for Impulsive Functional Differential Equations by Gang Li, Weizhong Ling, Changming Ding

“…Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.…”
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Collocation for High-Order Differential Equations with Lidstone Boundary Conditions by Francesco Costabile, Anna Napoli

“…A class of methods for the numerical solution of high-order differential equations with Lidstone and complementary Lidstone boundary conditions are presented. …”
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Quenching Time Optimal Control for Some Ordinary Differential Equations by Ping Lin

“…This paper concerns time optimal control problems of three different ordinary differential equations in ℝ2. Corresponding to certain initial data and controls, the solutions of the systems quench at finite time. …”
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On closed-form solutions of some nonlinear partial differential equations by S. S. Okoya

“…This paper is devoted to closed-form solutions of the partial differential equation: θxx+θyy+δexp(θ)=0, which arises in the steady state thermal explosion theory. …”
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A New Approach for Solving Fractional Partial Differential Equations by Fanwei Meng

“…This approach can be suitable for solving fractional partial differential equations with more general forms than the method proposed by S. …”
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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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