Results 1 to 10 of about 531,135 (290)

A numerical scheme for solutions of a class of nonlinear differential equations

open access: yesJournal of Taibah University for Science, 2017
In this paper, a collocation method based on Bessel functions of the first kind is presented to compute the approximate solutions of a class of high-order nonlinear differential equations under the initial and boundary conditions. First, the matrix forms
Şuayip Yüzbaşı
doaj   +1 more source

Nonlinear resonance set for nonlinear matrix equations

open access: yesLinear Algebra and its Applications, 1999
Given an \(n\times n\) real matrix \(A\), its Fučik spectrum \(A_{-1}\subset\mathbb{R}^2\) is the set of all \([a,b]^T \in\mathbb{R}^2\) such that the (nonlinear) equation \(Ax=ax^+-bx^-\) has a nontrivial solution. Here \(x^\pm\) has the elements \(x_i^\pm= \max\{\pm x_i,0\}\), where \(x_i\) are the elements of \(x\).
Margulies, Caryl, Margulies, William
openaire   +1 more source

An efficient method for vibration equations with time varying coefficients and nonlinearities

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2021
An efficient method for solving vibration equations is the basis of the vibration analysis of a cracked multistage blade–disk–shaft system. However, dynamic equations are usually time varying and nonlinear, and the time required for solving is greatly ...
Jinsong Yang   +3 more
doaj   +1 more source

Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions [PDF]

open access: yesMathematics Interdisciplinary Research, 2020
In this paper, numerical techniques are presented for solving system of nonlinear integro-differential equations. The method is implemented by applying hybrid of Legendre polynomials and Block-Pulse functions.
Mehdi Sabzevari, Fatemeh Molaei
doaj   +1 more source

Oscillation criteria for nonlinear matrix differential equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
Oscillation criteria are established for nonlinear matrix differential equations of the form [ R ( t ) U ′ ] ′ + F ( t , U , U ′ ) = 0 [R(t)U’]’ + F(t,U,U’)
openaire   +2 more sources

Solution of a class of nonlinear matrix equations

open access: yesLinear Algebra and its Applications, 2017
In this article we present several necessary and sufficient conditions for the existence of Hermitian positive definite solutions of nonlinear matrix equations of the form $X^s + A^*X^{-t}A + B^*X^{-p}B = Q$, where $ s, t, p \geq 1$, $ A, B$ are nonsingular matrices and $Q$ is a Hermitian positive definite matrix.
Snehasish Bose   +2 more
openaire   +3 more sources

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

open access: yesAdvances in Difference Equations, 2020
In the present work, a numerical technique for solving a general form of nonlinear fractional order integro-differential equations (GNFIDEs) with linear functional arguments using Chebyshev series is presented.
Khalid K. Ali   +5 more
doaj   +1 more source

On the Ψ−uniform asymptotic stability of nonlinear Lyapunov matrix differential equations [PDF]

open access: yesITM Web of Conferences, 2022
This paper deals with obtaining (necessary and) sufficient conditions for Ψ− uniform asymptotic stability of solutions of nonlinear Lyapunov matrix differential equations.
Diamandescu Aurel
doaj   +1 more source

The Matrix Nonlinear Schrödinger Equation in Dimension 2

open access: yesJournal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuhan, L, Pedersen, Michael
openaire   +3 more sources

Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications

open access: yesJournal of Mathematics, 2020
We use the notions of left- and right-complete quasi-b-metric spaces and partial ordered sets to obtain a couple of common fixed-point results for strictly weakly isotone increasing mappings and relatively weakly increasing mappings, which satisfy a pair
Hemant Kumar Nashine   +4 more
doaj   +1 more source

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