Vibration of the Liénard Oscillator with Quadratic Damping and Constant Excitation
MathematicsIn this paper, the Liénard oscillator with nonlinear deflection, quadratic damping, and constant excitation is considered. In general, there is no analytic solution for the Liénard equation.
Livija Cveticanin +3 more
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Control System Design for a Ducted-Fan Unmanned Aerial Vehicle Using Linear Quadratic Tracker
International Journal of Aerospace Engineering, 2015 Tracking control system based on linear quadratic (LQ) tracker is designed for a ducted-fan unmanned aerial vehicle (UAV) under full flight envelope including hover, transition, and cruise modes.
Junho Jeong, Seungkeun Kim, Jinyoung Suk
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On the solvability of the integral electric field equation for nonabsorbing media
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. The problem of solvability of the electric field integral equation for non-absorbing media is considered. Materials and methods. The method of quadratic forms is applied to investigation of the operators of the problem.
Yuriy G. Smirnov
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First and Second Integrals of Hopf–Langford-Type Systems
AxiomsThe work examines a seven-parameter, three-dimensional, autonomous, cubic nonlinear differential system. This system extends and generalizes the previously studied quadratic nonlinear Hopf–Langford-type systems.
Vassil M. Vassilev, Svetoslav G. Nikolov
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The Unified Transform for Burgers’ Equation: Application to Unsaturated Flow in Finite Interval
MathematicsIn this paper, we focus on one-dimensional vertical infiltration, assuming constant diffusivity and a quadratic relationship between hydraulic conductivity and water content. Under these assumptions, Richards’ equation reduces to Burgers’ equation, which
Konstantinos Kalimeris +2 more
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Integral solutions of certain Diophantine equations in quadratic fields
Indian Journal of Pure and Applied Mathematics8
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Adomian solution of a nonlinear quadratic integral equation
Journal of the Egyptian Mathematical Society, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solvability of a quadratic integral equation of fredholm type in Hölder spaces
Electronic Journal of Differential Equations, 2014 In this article, we prove the existence of solutions of a quadratic integral equation of Fredholm type with a modified argument, in the space of functions satisfying a Holder condition. Our main tool is the classical Schauder fixed point theorem.
Josefa Caballero +2 more
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Results on fixed points in b-metric space by altering distance functions
HeliyonWe discuss the existence of a fixed point for a self mapping and its uniqueness satisfying (ϕ˙,η˙)-generalized contractive condition including altering distance functions of rational terms in an ordered b-metric space.
N. Seshagiri Rao +2 more
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Solvability of a class of systems of quadratic integral equations
The article is devoted to the existence of solutions of a certain system of quadratic integral equations in H^1(R, R^N). We show the existence of a perturbed solution by using a fixed point technique in the Sobolev space on the real line.
Chen, Yuming, Vougalter, Vitali
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