Results 1 to 10 of about 531,135 (290)
A numerical scheme for solutions of a class of nonlinear differential equations
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
Åuayip YüzbaÅı
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Nonlinear resonance set for nonlinear matrix equations
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
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An efficient method for vibration equations with time varying coefficients and nonlinearities
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
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Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions [PDF]
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
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Oscillation criteria for nonlinear matrix differential equations [PDF]
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’)
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Solution of a class of nonlinear matrix equations
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
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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
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On the Ψ−uniform asymptotic stability of nonlinear Lyapunov matrix differential equations [PDF]
This paper deals with obtaining (necessary and) sufficient conditions for Ψ− uniform asymptotic stability of solutions of nonlinear Lyapunov matrix differential equations.
Diamandescu Aurel
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The Matrix Nonlinear Schrödinger Equation in Dimension 2
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Zuhan, L, Pedersen, Michael
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Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications
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
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