Convergent Power Series of sech⁡(x) and Solutions to Nonlinear Differential Equations by U. Al Khawaja, Qasem M. Al-Mdallal

“…International Journal of Differential Equations…”
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Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions by Guotao Wang, Sanyang Liu, Lihong Zhang

“…By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.…”
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The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry by Delphin Mwinken

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New oscillation criteria for third order nonlinear functional differential equations by John Graef, Said Grace, Gokula Chhatria

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On Solutions to a Class of Functional Differential Equations with Time-Dependent Coefficients by Muhammad Mohsin, Syed Touqeer H. Shah, Ali A. Zaidi

“…In this paper, we study initial boundary value problems that involve functional (nonlocal) partial differential equations with variable coefficients. These problems arise in cell growth models with symmetric and asymmetric modes of division. …”
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Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations by Feng Gao, Chunmei Chi

“…We also gave the definition of the corresponding fractional integral and illustrated the applications of the improved conformable derivative to fractional differential equations by some examples.…”
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Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation by Kai Wang, Ling Zhu

“…In this paper, from the perspective of capital flow, the insurance company’s capital flow is regarded as a dynamic system, the stochastic differential equations model is established to describe its flow characteristics, and the existence of positive equilibrium point of the system is proved, as well as the conditions of stability at equilibrium point, that is, the requirements of the insurance company’s solvency. …”
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Solving Partial Integro-Differential Equations via Double Formable Transform by Bayan Ghazal, Rania Saadeh, Abdelilah K. Sedeeg

“…Additionally, we use a convolution kernel to solve linear partial integro-differential equations (PIDE) by using the double formable transform. …”
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Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem by Wichai Witayakiattilerd

“…The existence and uniqueness of a mild solution to nonlinear fuzzy differential equation constrained by initial value were proven. …”
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Automatic Recognition of Financial Instruments Based on Anisotropic Partial Differential Equations by Wenfu Pan, Li Chen, Ruxing Zhang

“…In this paper, anisotropic partial differential equations are used to conduct an indepth study and analysis of automatic recognition of financial bills. …”
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New Qualitative Results for Solutions of Functional Differential Equations of Second Order by Cemil Tunç, Sultan Erdur

“…In this paper, we are concerned with the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of nonlinear functional differential equations of second order by the second method of Lyapunov. …”
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Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series by Xiang-Chao Shi, Lan-Lan Huang, Zhen-Guo Deng, Dan Liu

“…In this paper, the Adomian decomposition method is applied to nonlinear fractional differential equation and the error analysis is given which shows the convenience.…”
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Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations by Şuayip Yüzbaşı, Mehmet Sezer

“…This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations. …”
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Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations by Yunfei Li, Shoufu Li

“…The methods and theories presented in this paper are applicable to nonneutral, nonstiff, and nonlinear initial value problems in ODEs, Volterra delay differential equations (VDDEs), Volterra integro-differential equations (VIDEs), Volterra delay integro-differential equations (VDIDEs), etc. …”
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Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation by Osama Moaaz, Ali Muhib, Saud Owyed, Emad E. Mahmoud, Aml Abdelnaser

“…The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation rlu′lγ′+qlxβσl=0, where l≥l0 and ul≔xl+pxϱl. …”
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Estimating the distribution of parameters in differential equations with repeated cross-sectional data. by Hyeontae Jo, Sung Woong Cho, Hyung Ju Hwang

“…Differential equations are pivotal in modeling and understanding the dynamics of various systems, as they offer insights into their future states through parameter estimation fitted to time series data. …”
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Diffeomorphism neural operator for various domains and parameters of partial differential equations by Zhiwei Zhao, Changqing Liu, Yingguang Li, Zhibin Chen, Xu Liu

“…Abstract Solving partial differential equations (PDEs) across varying geometric domains and parameters represents a significant challenge in fields such as materials science, engineering, design and medical imaging, primarily due to the high computing cost associated with recomputing the solution for every change in geometry or parameters. …”
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Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order by Yang Liu, Zhang Weiguo

“…We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. …”
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On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control by Ngo Van Hoa, Nguyen Dinh Phu

“…In this paper, we present the existence of extremal solutions of set-valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form DHX(t)=F(t, X(t),H(t,X(t))), X(0)=X0,  for all t∈[0,T] with the monotone iterative technique and we will verify that monotone sequence of approximate solutions converging uniformly to the solution of the problem, that is useful for optimization problems.…”
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Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation by Xiaoqian Cui, Junjie Wei

“…A kind of fourth-order delay differential equation is considered. Firstly, the linear stability is investigated by analyzing the associated characteristic equation. …”
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