Periodic solutions of singular equations
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 … 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
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WebApr 13, 2024 · Based on the continuation theorem of coincidence degree theory and the method of upper and lower solutions, the multiple periodic solutions of the singular Rayleigh equations can be determined under the weak conditions of the term g. We discuss both the repulsive singular case and the attractive singular case. WebJun 3, 2016 · In this paper, the problem of existence of periodic solution is studied for p -Laplacian Liénard equations with singular at x=0 and x=+\infty. By using the topological degree theory, some new results are obtained, and an example is given to illustrate the effectiveness of our results.
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) 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 …
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 … http://www.kurims.kyoto-u.ac.jp/EMIS/journals/EJDE/Volumes/1995/12/Rabinowitz.pdf
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) …
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 … skyrim screenshots location steamWebIn 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 … skyrim scout armorWebOscillations 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 … sweat shorts mens outfitWebMar 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). skyrim script extender out of dateWebMar 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 … skyrim screen tearing at 60 fpsWebWe 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 … sweat shorts onlineWebSep 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. skyrim screenshots location