The Conical Radial Basis Function for Partial Differential Equations by J. Zhang, F. Z. Wang, E. R. Hou

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Impulsive Multiorders Riemann-Liouville Fractional Differential Equations by Weera Yukunthorn, Sotiris K. Ntouyas, Jessada Tariboon

“…Impulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space. …”
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On point-dissipative systems of differential equations with quadratic nonlinearity by Anile K. Bose, Alan S. Cover, James A. Reneke

“…The system x′=Ax+f(x) of nonlinear vector differential equations, where the nonlinear term f(x) is quadratic with orthogonality property xTf(x)=0 for all x, is point-dissipative if uTAu<0 for all nontrivial zeros u of f(x).…”
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Nonoscillation theorems for functional differential equations of arbitrary order by John R. Graef, Myron K. Grammatikopoulos, Yuichi Kitamura, Takasi Kusano, Hiroshi Onose, Paul W. Spikes

“…The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations. …”
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Approximate Boundary Controllability for Semilinear Delay Differential Equations by Lianwen Wang

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Oscillation of Second-Order Sublinear Impulsive Differential Equations by A. Zafer

“…Oscillation criteria obtained by Kusano and Onose (1973) and by Belohorec (1969) are extended to second-order sublinear impulsive differential equations of Emden-Fowler type: x″(t)+p(t)|x(τ(t))|α-1x(τ(t))=0, t≠θk; Δx'(t)|t=θk+qk|x(τ(θk))|α-1x(τ(θk))=0; Δx(t)|t=θk=0,   (0<α<1) by considering the cases τ(t)≤t and τ(t)=t, respectively. …”
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Reproducing Kernel Method for Fractional Riccati Differential Equations by X. Y. Li, B. Y. Wu, R. T. Wang

“…This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique. …”
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Dirichlet Solutions of Functional Differential Equations without Delay by N. P. Evlampiev, V. S. Mokeichev, I. E. Filippov

Subjects: “…functional differential equation…”
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Recent development in the theory of linear partial differential equations by Jean Dieudonné

“…A historical development of the theory of linear partial differential equation is reviewed with comments. A recent development in the theory of linear partial differential equations is discussed.…”
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Advances in Nonlinear Complexity Analysis for Partial Differential Equations by Zhengde Dai, Qianshun S. Chang, Lan Xu, Syed Tauseef Mohyud-Din, Hafez Tari, Peicheng Zhu

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Generalized Kudryashov Method for Time-Fractional Differential Equations by Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut

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On Constants in Nonoscillation Criteria for Half-Linear Differential Equations by Simona Fišnarová, Robert Mařík

“…We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. …”
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Analytical reduction of a system of partial differential equations by Donatas Jurgaitis

“… A system of four of the first order partial differential equations is transformed into the system, which has blocked diagonal matrix. …”
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On unbounded solutions of the first order ordinary differential equations by Gintautas Gudynas

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k-component disconjugacy for systems of ordinary differential equations by Johnny Henderson

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On the Convergence of Solutions of Certain Third-Order Differential Equations by Ercan Tunç

“…We establish sufficient conditions for the convergence of solutions of a certain third-order nonlinear differential equations. By constructing a Lyapunov function as the basic tool, some results which exist in the relevant literature are generalized.…”
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A method of solving y(k)−f(x)y=0 by P. J. O'Hara, R. Osteen, R. S. Rodriguez

Subjects: “…differential equations…”
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Necessary and sufficient conditions for the oscillation of delay differential equation with a piecewise constant argument by H. A. Agwo

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On the mild solutions of higher-order differential equations in Banach spaces by Nguyen Thanh Lan

“…For the higher-order abstract differential equation u(n)(t)=Au(t)+f(t), t∈ℝ, we give a new definition of mild solutions. …”
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Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations by Wen-Xue Zhou, Ji-Gen Peng, Yan-Dong Chu

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