Periodic solutions of singular equations

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August undefined, 2024

WebA novel class of nonlinear stochastic fractional differential equations with delay and the Jumarie and Ito differentials is introduced in the paper. The aim of the study is to prove existence and uniqueness of solutions to these equations. The main results of the paper generalise some previous findings made for the non-delay and three-scale equations … WebMar 9, 2024 · Vector ODE solution is not periodic/ as expected. I am coding a solver for the orbital differential equations, which of course i expect to be periodic as the orbit is nearly circular. Instead The resulting orbit makes little physical sense and all parameters either diverge or tend to unrealistic constants.

Nonconstant periodic solutions created by impulses for singular ...

WebOscillations of mechanical devices are commonly modeled with Liénard equations. Examples of such devices are MEMS (Micro-Electro-Mechanical Systems), and in particular the Nathanson actuator, Comb-drive finger, and Atomic forcé microscope. Perhaps, for any Liénard type equations, the most interesting question is about the study of periodic … WebMa, J., Protter, P., and Yong, J. (1994), Solving Forward-Backward Stochastic Differential Equations Explicitly-A Four Step Scheme. Probability Theory and Related Fields, 98; 339 … rochem group ag

Positive Periodic Solutions for a First Order Singular Ordinary ...

http://www.kurims.kyoto-u.ac.jp/EMIS/journals/EJDE/Volumes/1995/12/Rabinowitz.pdf 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 WebDec 1, 2015 · Periodic solutions of singular equations Authors: Antonio J. Ureña University of Granada Abstract We study second-order ordinary differential equations of Newtonian … rochem inspectors

Periodic Solution - an overview ScienceDirect Topics

Periodic solutions for damped differential equations with a weak ...

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 WebAug 17, 2014 · In some suitable weak singularities, the existence of periodic solutions may help. 1. Introduction The theory of second-order periodic differential equation has been widely studied [1–20] because of great practical importance. In addition, may take some negative values. rochem germanyWebNov 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. rochem international company

"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

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 … WebApr 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 …

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WebIn this paper, we study the existence of almost periodic solutions and also the nonexistence of non-uniformly continuous Stepanov-almost periodic solutions of the nthorder differential equation u~((n 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 .

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 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 … WebTopics typically include stable and center manifolds theorem, linearization of vector fields, variational equations, Floquet theory and Poincare; maps for periodic orbits, bifurcation of …

WebApr 11, 2024 · In what follows, we discuss the periodic solutions with three cases: \rho _1>\rho _2, \rho _1<\rho _2 and \rho _1=\rho _2. Theorem 3.1 Assume that condition ( A) and \rho _1>\rho _2 hold. Moreover, suppose there exist constants R and r satisfying R>r>0 (where R is a sufficiently large constant) such that: (H_1): 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 …

WebOct 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)

WebThe periodic solution of system is constructed as a convergent series using a formal procedure. A formula for periodic solutions of a nonhomogeneous linear system with … rochem ltd case study answershttp://math.bu.edu/dynamics/courses.html rochem india pvt ltdWebThe rate equations for a laser with a saturable absorber have a singular point solution whose character changes from a stable focus to an unstable one with increasing pumping rate. At this transition point a stable limit cycle can emerge. rochem indiaWebNov 20, 2024 · We study a second-order ordinary differential equation coming from the Kepler problem on S 2. The forcing term under consideration is a piecewise constant with … rochem technical services so23WebDec 20, 2024 · In this paper, we look for positive T-periodic solutions of the first-order singular problem \begin {aligned} x' (t)=-\dfrac {1} { (x (t))^\alpha }+e (t) \end {aligned} … rochem pvt limitedWebThe 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. rochem malaysiaWebJan 15, 2024 · On periodic solutions of second-order differential equations with attractive-repulsive singularities. J. Differ. Equ. 248 ( 2010 ), 111 – 126. CrossRef Google Scholar 10 Hakl, R. and Zamora, M.. Periodic solutions of an indefinite singular equation arising from the Kepler's problem on the sphere. rochem ro-water desalination