Periodic solutions of singular equations
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 … WebMar 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 …
Periodic solutions of singular equations
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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). Web2. The Auxiliary Equation; Repeated Roots 3. The Auxiliary Equation; Imaginary Roots 4. Systems of Equations F. Equations of Order One and Higher Degree 1. Factoring the Left …
WebThe 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. WebWe study second-order ordinary differential equations of Newtonian type. The forcing terms under consideration are the product of a nonlinearity which is singular at the origin with …
WebDec 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} … 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.
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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 エクスペリア 離れWebFeb 1, 2024 · In this paper, we prove the existence of a positive periodic solution for nonlinear differential equation with an indefinite singularity by using Green’s function and fixed point theorem in... エクスペリア 電池 auWebSep 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. palmerston avenue torontoエクスペリア 録画 アプリ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 … エクスペリア 防水 端子WebThe 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. エクスペリア 音 時間設定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) … エクスペリア 録音 おすすめ