2024 Periodic solutions of singular equations

Periodic solutions of singular equations

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August undefined, 2024

WebAug 28, 2024 · This paper is devoted to an investigation of the existence of a positive periodic solution for the following singular Liénard equation: x''+f\bigl (x (t)\bigr)x' (t)+a (t)x= \frac {b (t)} {x^ {\alpha }}+e (t), where the external force e (t) may change sign, α is a constant and \alpha >0. Web3 Solution to Problem “A” by Separation of Variables 5 4 Solving Problem “B” by Separation of Variables 7 5 Euler’s Diﬀerential Equation 8 6 Power Series Solutions 9 7 The Method of Frobenius 11 8 Ordinary Points and Singular Points 13 9 Solving Problem “B” by Separation of Variables, continued 17 10 Orthogonality 21

Periodic Solutions of an Indefinite Singular Equation …

WebApr 11, 2024 · Kink wave and traveling wave solutions to the sG equation are built using the Hirota bilinear approach . Recent developments include the construction of solutions for the precise traveling wave such as single and multi-solitons, periodic waves, breaking kink waves, singular waves, periodic singular waves, and compacton wave’s solutions . WebJul 13, 2024 · Liénard equation, Mawhin's continuation theorem, periodic solution, singularity Abstract In this paper, the existence of positive periodic solutions is studied for a singular Liénard equation where the weight function has an indefinite sign. new life sealcoating

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http://math.bu.edu/dynamics/courses.html WebFeb 1, 2010 · The existence of periodic solutions for nonautonomous second order differential equations with singular nonlinearities is discussed and simple sufficient conditions that enable many distinct periodic solutions are provided. Expand WebA singular solution y s (x) of an ordinary differential equation is a solution that is singular or one for which the initial value problem (also called the Cauchy problem by some authors) … new life sealcoating company westchester il

DIFFERENTIAL EQUATIONS FOR ENGINEERS MA 311 - New …

Positive periodic solution to an indefinite singular equation

WebFeb 1, 2004 · We study the existence of twist periodic solutions of second order differential equations with an attractive-repulsive singularity. Such twist periodic solutions are stable … WebAug 12, 2009 · The analysis described here will be used to study more complicated, higher dimensional systems that arise in models for neuronal systems. Using the existence of … into the gloss mac mineralizeWebApr 11, 2024 · Abstract. In this paper, we aim to study a second-order differential equation with indefinite and repulsive singularities. It is the first time to study differential equation … into the gloss mattifying

"WebFeb 21, 2024 · 1. 2. In this article, some sufficient conditions for the existence of positive periodic solutions of a more general indefinite singular differential equation are established. The results are applicable to strong singularities as well as weak singularities. Some results in literature are generalized. " - Periodic solutions of singular equations

Periodic solutions of singular equations

WebOscillations of mechanical devices are commonly modeled with Liénard equations. Examples of such devices are MEMS (Micro-Electro-Mechanical Systems), and in … WebDec 20, 2024 · Some efficient conditions guaranteeing the existence of periodic solutions with minimal period mT are established. These periodic solutions rotate exactly once around the singularity in the...

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WebMar 15, 2009 · A T -periodic solution of Eq. (3.1) is just equivalent to a fixed point of the continuous map L: P T → P T defined by (3.2) ( L x) ( t) = ∫ t t + T G ( t, s) [ f ( s, x ( s)) + c ( s)] d s = ∫ t t + T G ( t, s) f ( s, x ( s)) d s + γ ( t). WebApr 11, 2024 · The Fourier series method was used to reduce the boundary value problem to triple series equations, then to singular integral equations with Cauchy kernel. The analytical solutions are in a closed form for the stress field, and the stress intensity factors and the energy release rates of the phonon and phason fields near the crack tip are ...

WebNov 20, 2024 · Periodic Solutions of an Indefinite Singular Equation Arising from the Kepler Problemon the Sphere Published online by Cambridge University Press: 20 November 2024 Robert Hakl and Manuel Zamora Article Metrics Save PDF Share Cite Rights & Permissions Abstract HTML view is not available for this content. WebApr 11, 2024 · The Fourier series method was used to reduce the boundary value problem to triple series equations, then to singular integral equations with Cauchy kernel. The …

WebSep 11, 2024 · Essentially any second order linear equation of the form can be written as after multiplying by a proper factor. Example : Sturm-Liouville Problem Put the following equation into the form : Multiply both sides by to obtain The Bessel equation turns up for example in the solution of the two-dimensional wave equation. WebIn this article, we study a periodic boundary value problem related to valveless pumping. The valveless pumping is described by the unidirectional flow of liquid in a system. We …

WebSINGULAR SOLUTIONS OF ELLIPTIC EQUATIONS 15 21. F. Pacard, Solutions de ∆u = −λeu ayant des singularit´es ponctuelles prescrites, C. R. Acad. Sci. Paris S´er. I Math. 311(6)(1990), 317–320. Institute of Mathematics Simion …

WebSep 14, 2010 · In this paper we study the existence of positive periodic solutions to second-order singular differential equations with the sign-changing potential. Both the repulsive … new life seamless guttersWebThe literature on the subject of periodic solutions is enormous, and we will restrict ourselves to describing and presenting a sequence of famous examples. Let x ˙ = f ( x, t) = f ( x, t + T) be a vector differential equation with periodic forcing function f. Any its periodic solution with period T is called harmonic vibration or oscillation. new life sedieWebpositive solutions to periodic boundary value problem of singular semi-positone nonlinear third-order ordinary differential equations [j]. 微分方程年刊：英文版 . 2010 ,第003期 into the gloss locationWebMar 1, 2016 · Periodic solutions of singular equations A. J. Ureña Published 1 March 2016 Mathematics Topological Methods in Nonlinear Analysis We study second-order ordinary differential equations of Newtonian type. The forcing terms under consideration are the … new life seamless gutteringWebOct 23, 2015 · In this work we discuss the existence of nonconstant periodic solutions for nonautonomous singular second order differential equations in the presence of impulses. Our approach is variational. ... Recent existence results for second order singular periodic differential equations. Bound. Value Probl. 2009, Article ID 540863 (2009) into the gloss moisturizerWebIn this article, we study a periodic boundary value problem related to valveless pumping. The valveless pumping is described by the unidirectional flow of liquid in a system. We establish some conditions for globally asymptotic stability and the existence of a positive periodic solution to the considered equation. Finally, a numerical example shows that the … into the gloss lula herselfWebJan 31, 2024 · Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity Pablo Amster 1 , and Manuel Zamora 2 , , … into the gloss mejuri