Results 21 to 30 of about 5,335,458 (280)

On linear homogeneous differential equation of Chebyshev type

open access: yesLietuvos Matematikos Rinkinys, 2008
Let L[y] = y(n)(z)+gn-1(z)y(n-1)(z)+. . .+g1(z)y(1)(z)+g0(z)y(z) = 0  be a differential equation of nth order with analytic in circle |z| < R coefficients.
Eduard Kiriyatzkii
doaj   +1 more source

On linear differential equations and systems with reflection [PDF]

open access: yesApplied Mathematics and Computation, 2017
In this paper we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green's functions.
Alberto Cabada, F. Adrián F. Tojo
openaire   +5 more sources

Half-linear Euler differential equation and its perturbations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
doaj   +1 more source

On Some Novel Results About the Behavior of Some Numerical Solutions of a Neutrosophic Generalized Half – Linear Second Order Differential Equation [PDF]

open access: yesNeutrosophic Sets and Systems
The generalized neutrosophic differential equation is a differential equation with neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second
Norah Mousa Alrayes   +5 more
doaj   +1 more source

Positive Stabilization of Linear Differential Algebraic Equation System

open access: yesInternational Journal of Differential Equations, 2016
We study in this paper the existence of a feedback for linear differential algebraic equation system such that the closed-loop system is positive and stable. A necessary and sufficient condition for such existence has been established. This result can be
Muhafzan
doaj   +1 more source

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

open access: yesOpuscula 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
doaj   +1 more source

Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

open access: yesAlexandria 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   +3 more
doaj   +1 more source

Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions

open access: yesComplexity, 2021
This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad   +2 more
doaj   +1 more source

A Problem in Linear Differential Equations [PDF]

open access: yesProceedings 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

Conjugacy and principal solution of generalized half-linear second order differential equations

open access: yesElectronic 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
doaj   +1 more source

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