Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations by Junwei Liu, Chuanyi Zhang

“…The existence of piecewise almost periodic solutions for impulsive neutral functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. …”
Get full text

Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments by Juan J. Nieto, Rosana Rodríguez-López

“…We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. …”
Get full text

Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations by Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas

“…Applications to Caputo fractional differential equations with “maxima” are also presented.…”
Get full text

Dynamical Aspects of Initial/Boundary Value Problems for Ordinary Differential Equations by Jifeng Chu, Juntao Sun, Patricia J. Y. Wong, Yonghui Xia

Get full text

Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments by B. Baculíková

“…The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [𝑎(𝑡)[𝑥″(𝑡)]𝛾]′=𝑞(𝑡)𝑓(𝑥[𝜏(𝑡)])+𝑝(𝑡)ℎ(𝑥[𝜎(𝑡)]). …”
Get full text

On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…International Journal of Differential Equations…”
Get full text

Perspectives of Experts in the Selection of Contents for a Course of Differential Equations in Engineering by José Luis Díaz Palencia

Subjects: Get full text

Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations by Zhanbing Bai, Weichen Sun, Weihai Zhang

Get full text

Radial Kernels Collocation Method for the Solution of Volterra Integro-Differential Equations by Stephen Mkegh Nengem, Friday Haruna, Shalom Danjuma Bitrus

Subjects: “…Volterra Integro-Differential Equations…”
Get full text

The Stochastic Θ-Method for Nonlinear Stochastic Volterra Integro-Differential Equations by Peng Hu, Chengming Huang

“…The stochastic Θ-method is extended to solve nonlinear stochastic Volterra integro-differential equations. The mean-square convergence and asymptotic stability of the method are studied. …”
Get full text

Oscillation Criteria of Third-Order Nonlinear Impulsive Differential Equations with Delay by Xiuxiang Liu

Get full text

Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments by Minghui Song, M. Z. Liu

“…In this paper, the asymptotic stability of the analytic and numerical solutions for differential equations with piecewise continuous arguments is investigated by using Lyapunov methods. …”
Get full text

Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities by Shurong Sun, Tongxing Li, Zhenlai Han, Yibing Sun

“…We study the following second-order neutral functional differential equation with mixed nonlinearities (r(t)|(u(t)+p(t)u(t-σ))'|α-1(u(t)+p(t)u(t-σ))′)′+q0(t)|u(τ0(t))|α-1u(τ0(t))+q1(t)|u(τ1(t))|β-1u(τ1(t))+q2(t)|u(τ2(t))|γ-1u(τ2(t))=0, where γ>α>β>0, ∫t0∞(1/r1/α(t))dt<∞. …”
Get full text

Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order by Devaraj Vivek, Elsayed M. Elsayed, Kuppusamy Kanagarajan

Subjects: “…pantograph differential equation…”
Get full text

The stability of collocation methods for higher-order Volterra integro-differential equations by Edris Rawashdeh, Dave McDowell, Leela Rakesh

Get full text

Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation by Irena Rachůnková, Lukáš Rachůnek

“…Singular differential equation (p(t)u′)′=p(t)f(u) is investigated. …”
Get full text

Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity by Xiaohong Hu, Dabin Wang, Changyou Wang

“…By using minimax methods in critical point theory, we obtain the existence of periodic solutions for second-order ordinary differential equations with linear nonlinearity.…”
Get full text

Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations by Yige Zhao, Shurong Sun, Zhenlai Han, Qiuping Li

“…We study the existence of positive solutions for the boundary value problem of nonlinear fractional differential equations D0+αu(t)+λf(u(t))=0, 0<t<1, u(0)=u(1)=u'(0)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative, λ is a positive parameter, and f:(0,+∞)→(0,+∞) is continuous. …”
Get full text

Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations by Khaled A. Gepreel, Taher A. Nofal, Fawziah M. Alotaibi

“…Also, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations. …”
Get full text

Oscillation Criteria for Certain Even Order Neutral Delay Differential Equations by Ruba Al-Hamouri, Ali Zein

“…International Journal of Differential Equations…”
Get full text