An asymptotic result for linear nonhomogeneous mixed type differential equation by Ali Fuat Yeniçerioğlu

Subjects: “…mixed differential equation…”
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Input-to-State Stability of Linear Stochastic Functional Differential Equations by Ramazan Kadiev, Arcady Ponosov

“…The purpose of the paper is to show how asymptotic properties, first of all stochastic Lyapunov stability, of linear stochastic functional differential equations can be studied via the property of solvability of the equation in certain pairs of spaces of stochastic processes, the property which we call input-to-state stability with respect to these spaces. …”
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Controllability of Mild Solution of Nonlocal Conformable Fractional Differential Equations by Mohamed Hannabou, Mohamed Bouaouid, Khalid Hilal

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Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients by Juan F. Navarro, Antonio Pérez-Carrió

“…The aim of this paper is to introduce a symbolic technique for the computation of the solution to a complete ordinary differential equation with constant coefficients. The symbolic solution is computed via the variation of parameters method and, thus, constructed over the exponential matrix of the linear system associated with the homogeneous equation. …”
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Oscillation properties of nonlinear neutral differential equations of nth order by T. Candan, R. S. Dahiya

“…We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. …”
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New Stability Conditions for Linear Differential Equations with Several Delays by Leonid Berezansky, Elena Braverman

“…New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 with measurable delays and coefficients. …”
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Implicit Numerical Solutions for Solving Stochastic Differential Equations with Jumps by Ying Du, Changlin Mei

“…To realize the applications of stochastic differential equations with jumps, much attention has recently been paid to the construction of efficient numerical solutions of the equations. …”
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An Application of Fixed Point Theory to a Nonlinear Differential Equation by A. P. Farajzadeh, A. Kaewcharoen, S. Plubtieng

“…By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation.…”
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Oscillation of a Class of Fractional Differential Equations with Damping Term by Huizeng Qin, Bin Zheng

“…We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. …”
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Existence and uniqueness theorem for a solution of fuzzy differential equations by Jong Yeoul Park, Hyo Keun Han

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Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations by Tongxing Li, Yuriy V. Rogovchenko

“…We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. …”
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Smooth Solutions of a Class of Iterative Functional Differential Equations by Houyu Zhao

“…By Faà di Bruno’s formula, using the fixed-point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x′(t)=1/(c0x[0](t)+c1x[1](t)+⋯+cmx[m](t)).…”
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Recent Advance in Function Spaces and Their Applications in Fractional Differential Equations by Xinguang Zhang, Lishan Liu, Yonghong Wu, Liguang Wang

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The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations by Yabin Shao, Huanhuan Zhang

“…We generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.…”
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Bilateral Harnack Inequalities for Stochastic Differential Equation with Multiplicative Noise by Zihao An, Gaofeng Zong

“…By constructing a coupling with unbounded time-dependent drift, a lower bound estimate of dimension-free Harnack inequality with power is obtained for a large class of stochastic differential equation with multiplicative noise. The key is an application of the inverse Hölder inequality. …”
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A Collocation Method for Solving Fractional Riccati Differential Equation by Yalçın Öztürk, Ayşe Anapalı, Mustafa Gülsu, Mehmet Sezer

“…We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term. This method is based on first taking the truncated Taylor expansions of the solution function in the fractional Riccati differential equation and then substituting their matrix forms into the equation. …”
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Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions by D. A. León-Velasco, M. M. Morín-Castillo, J. J. Oliveros-Oliveros, T. Pérez-Becerra, J. A. Escamilla-Reyna

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Some results on boundary value problems for functional differential equations by P. Ch. Tsamatos, S. K. Ntouyas

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Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations by Hui-Zeng Qin, Yongsheng Ren

“…International Journal of Differential Equations…”
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Existence of solutions of boundary value problems for functional differential equations by S. K. Ntouyas, P. Ch. Tsamatos

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