On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation by Ercan Tunç, Said R. Grace

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

Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations by Yansheng Liu

“…This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. …”
Get full text

Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance by Lei Hu, Shuqin Zhang, Ailing Shi

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

Uniqueness and Nonuniqueness in Inverse Problems for Elliptic Partial Differential Equations and Related Medical Imaging by Kiwoon Kwon

“…Unique determination issues about inverse problems for elliptic partial differential equations in divergence form are summarized and discussed. …”
Get full text

Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations by S. Bivani, M. Ghasemi, A. Goligerdian

Get full text

Existence Theorem for Impulsive Differential Equations with Measurable Right Side for Handling Delay Problems by Z. Lipcsey, J. A. Ugboh, I. M. Esuabana, I. O. Isaac

“…In order to support handling impulsive differential equations with delay like in other chapters of differential equations, we formulated and proved existence and uniqueness theorems for impulsive differential equations with measurable right sides following Caratheodory’s techniques. …”
Get full text

A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets by Mutaz Mohammad, Alexander Trounev

“…Based on the operational matrix, the neutral delay differential equations are reduced to a system of algebraic equations, which is solved through a numerical algorithm. …”
Get full text

Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities by Yongxiang Li, Lanjun Guo

“…This paper is concerned with the existence of periodic solutions for the fully second-order ordinary differential equation u′′(t)=ft,ut,u′t, t∈R, where the nonlinearity f:R3→R is continuous and f(t,x,y) is 2π-periodic in t. …”
Get full text

Two-Point Oscillation for a Class of Second-Order Damped Linear Differential Equations by Kong Xiang-Cong, Zheng Zhao-Wen

“…Using the comparison theorem, the two-point oscillation for linear differential equation with damping term is considered, where . …”
Get full text

Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters by Zhenguo Luo, Liping Luo, Yunhui Zeng

“…We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. …”
Get full text

On Semianalytical Study of Fractional-Order Kawahara Partial Differential Equation with the Homotopy Perturbation Method by Muhammad Sinan, Kamal Shah, Zareen A. Khan, Qasem Al-Mdallal, Fathalla Rihan

“…In this study, we investigate the semianalytic solution of the fifth-order Kawahara partial differential equation (KPDE) with the approach of fractional-order derivative. …”
Get full text

Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe by Yefeng He, Yepeng Xing

“…This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic orbit of impulsive differential equations on Moebius stripe by employing displacement functions. …”
Get full text

Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices by Mohsen Alipour, Dumitru Baleanu

“…We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the Bernstein polynomials (BPs). …”
Get full text

Research on Image Recognition of Building Wall Design Defects Based on Partial Differential Equation by Xiwen Yu, Kai Wang, Shaoxuan Wang

“…Then, the improved partial differential equation is used to recognize the image as a whole. …”
Get full text

Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations by Hector Vazquez-Leal

“…This work presents the novel continuum-cancellation Leal-method (CCLM) for the approximation of nonlinear differential equations. CCLM obtains accurate approximate analytical solutions resorting to a process that involves the continuum cancellation (CC) of the residual error of multiple selected points; such CC process occurs during the successive derivatives of the differential equation resulting in an accuracy increase of the inner region of the CC-points and, thus, extends the domain of convergence and accuracy. …”
Get full text

Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative by Xin Liu, Kamran, Yukun Yao

“…The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and in financial mathematics. …”
Get full text

On Solvability of Third-Order Operator Differential Equation with Parabolic Principal Part in Weighted Space by Araz R. Aliev, Sabir S. Mirzoev, Mustafa A. Soylemezo

“…Sufficient conditions are found for the correct and unique solvability of a class of third-order parabolic operator differential equations, whose principal parts have multiple characteristics, in a Sobolev-type space with exponential weight. …”
Get full text

Oscillation Criteria for Third-Order Emden–Fowler Differential Equations with Unbounded Neutral Coefficients by George E. Chatzarakis, Said R. Grace, Irena Jadlovská, Tongxing Li, Ercan Tunç

“…New sufficient conditions for the oscillation of all solutions to a class of third-order Emden–Fowler differential equations with unbounded neutral coefficients are established. …”
Get full text

Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition by Allaberen Ashyralyev, Fadime Dal

“…The numerical and analytic solutions of the mixed problem for multidimensional fractional hyperbolic partial differential equations with the Neumann condition are presented. …”
Get full text

Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations by Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Zeeshan Ali, Zhengqing Fu, Jiafa Xu

“…This article concerns with the existence and uniqueness for a new model of implicit coupled system of neutral fractional differential equations involving Caputo fractional derivatives with respect to the Chebyshev norm. …”
Get full text