Results 21 to 30 of about 2,136,673 (353)

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

Alexandria Engineering Journal, 2019
In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformable ...
Zeyad Al-Zhour, Nouf Al-Mutairi, Fatimah Alrawajeh, Raed Alkhasawneh   +3 more
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Conjugacy and principal solution of generalized half-linear second order differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new ...
Ondrej Dosly, J. Reznickova
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Exponential Stabilization of Linear Time-Varying Differential Equations with Uncertain Coefficients by Linear Stationary Feedback

Mathematics, 2020
We consider a control system defined by a linear time-varying differential equation of n-th order with uncertain bounded coefficients. The problem of exponential stabilization of the system with an arbitrary given decay rate by linear static state or ...
Vasilii Zaitsev, Inna Kim
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Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

Mathematics, 2021
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
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A Problem in Linear Differential Equations [PDF]

Proceedings of the American Mathematical Society, 1959
In the Bulletin of the American Mathematical Society, March 1958, page 61, R. E. Bellman suggests the following for research. "Consider the second order linear differential equation (1) u" + (1 + Xg(x))u = O where X is a real constant and fo7 I g(x) I dx 0 for x _ 0, is the singularity nearest the origin on the negative axis?" We assume that g(x) is ...
openaire   +1 more source

A Jacobi operational matrix for solving a fuzzy linear fractional differential equation

, 2013
This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order ...
A. Ahmadian, M. Suleiman, S. Salahshour, D. Baleanu   +3 more
semanticscholar   +1 more source

On the local linearization of differential equations [PDF]

Proceedings of the American Mathematical Society, 1963
1. Consider the autonomous system of real, nonlinear differential equations (1.1) x' = Ex+F(x), where F(I x)= o(IxI) as x -0, x is a (Euclidean) vector, F(x) a smooth vector-valued function of x, and E a constant matrix with eigenvalues el, e2, -satisfying (1.2) Re ej 5 0.
openaire   +1 more source

On a differential equation with Caputo-Fabrizio fractional derivative of order $1<\beta\leq 2$ and application to mass-spring-damper system [PDF]

, 2016
In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order ...
N. Al-Salti, E. Karimov, K. Sadarangani
semanticscholar   +1 more source

Explicit Solutions to Large Deformation of Cantilever Beams by Improved Homotopy Analysis Method I: Rotation Angle

Applied Sciences, 2022
An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li, Xinye Li, Shuhao Huo, Chen Xie   +3 more
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