Results 71 to 80 of about 159,062 (288)

Carleman linearization of differential-algebraic equations systems

open access: yesResults in Applied Mathematics
Carleman linearization is a mathematical technique that transforms nonlinear dynamical systems into infinite-dimensional linear systems, enabling simplified analysis.
Marcos A. Hernández-Ortega   +3 more
doaj   +1 more source

Some prospective criteria for non-unique solutions of ordinary differential equations

open access: yesSystems Science & Control Engineering, 2019
Ordinary differential equations (ODEs) have a wide range of potential applications in science and engineering with regard to nonlinear dynamic systems. Frequently, there is a focus upon locating unique solutions to ODEs, with non-unique solutions being ...
Juxia Xiong   +3 more
doaj   +1 more source

Boundary value problems for doubly perturbed first order ordinary differential systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2006
The aim of this paper is to present new results on existence theory for perturbed BVPs for first order ordinary differential systems. A nonlinear alternative for the sum of a contraction and a compact mapping is used.
Mouffak Benchohra   +2 more
doaj   +1 more source

A Numerical–Experimental Approach for Multi‐Matrix Fiber‐Reinforced Plastics Characterization Using Finite Element Model Updating

open access: yesAdvanced Engineering Materials, EarlyView.
A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora   +4 more
wiley   +1 more source

Transformations of ordinary differential equations via Darboux transformation technique

open access: yes, 2000
A new approach for obtaining the transformations of solutions of nonlinear ordinary differential equations representable as the compatibility condition of the overdetermined linear systems is proposed.
Ablowitz   +36 more
core   +2 more sources

Positive Solutions for Second-Order Nonlinear Ordinary Differential Systems with Two Parameters

open access: yesISRN Applied Mathematics, 2011
By using fixed-point theorem and under suitable conditions, we investigate the existence and multiplicity positive solutions to the following systems: , where are four positive constants and , , and . We derive two explicit intervals of and , such that the existence and multiplicity of positive solutions for the systems is guaranteed.
Sun, Lan, An, Yukun, Jiang, Min
openaire   +2 more sources

Effect of Oxygen Content on Surface and Subsurface Integrity During Turning of Ti–6Al–4V

open access: yesAdvanced Engineering Materials, EarlyView.
This study examines how oxygen content in the ambient atmosphere affects the surface and subsurface properties of Ti–6Al–4V during turning. Results show that oxygen does not influence surface roughness. However, machining in an extremely high vacuum‐adequate atmosphere increases surface hardness by up to 7.8% and induces compressive residual stresses ...
Benjamin Bergmann   +3 more
wiley   +1 more source

Existence and Properties of the Solution of Nonlinear Differential Equations with Impulses at Variable Times

open access: yesAxioms
In this paper, a class of nonlinear ordinary differential equations with impulses at variable times is considered. The existence and uniqueness of the solution are given.
Huifu Xia, Yunfei Peng, Peng Zhang
doaj   +1 more source

Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution

open access: yesResults in Physics, 2019
This study deal with the oblique plane wave solutions with dynamical behaviours for (2 + 1)-dimensional resonant nonlinear Schrodinger equations having Bhom’s quantum potential with distinct law of nonlinearities (Kerr and parabolic law) and fractional ...
M.G. Hafez   +3 more
doaj   +1 more source

Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations

open access: yesJournal of Ocean Engineering and Science, 2020
The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS).
K. Hosseini   +6 more
doaj   +1 more source

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