Periodic solutions of differential equations
WebApr 22, 2024 · In [9], the authors gave several methods to study periodic solutions of one-dimensional -periodic differential equations, including Poincare’s map, the stability of zero solution and its multiplicity, normal form, and averaging method. They summarized and improved some existing results and obtained some new conclusions as well. WebApr 11, 2024 · On Periodic Solutions of Delay Differential Equations with Impulses CC BY Authors: Mostafa Bachar King Saud University Abstract The purpose of this paper is to study the nonlinear distributed...
Periodic solutions of differential equations
Did you know?
Weban active search for periodic solutions of partial differential equations, employing a variety of meth-ods and motivated, at least in part, by the impor-tant role that periodic solutions play in under-standing the behavior of ordinary differential equations. My goal in what follows is to describe a new technique for constructing such solutions WebOscillations of mechanical devices are commonly modeled with Liénard equations. Examples of such devices are MEMS (Micro-Electro-Mechanical Systems), and in …
WebApr 10, 2024 · (*) to be asymptotic $1$-periodic, or there exists an asymptotic mild solution that is asymptotic $1$-periodic. Skip to search form Skip to main content Skip to account menu WebMar 6, 2024 · In this paper we obtain necessary and sufficient conditions for the existence of solutions of a class of periodic-Dirichlet problems for parabolic- partial differential equations. The structure of the solution set and the asymptotic behaviour of the solution is also studied. Download to read the full article text References
WebApr 10, 2024 · On asymptotic periodic solutions of fractional differential equations and applications. In this paper we study the asymptotic behavior of solutions of fractional … Webquestion of the existence of nontrivial periodic solutions of nonlinear autonomous differential and integral equations, m is greater than one. This is the case for example in Hopf-type bifurcation problems. In this paper the study of such cases is carried out by using m > 2 parameters which appear
Webis T-periodic then any solution to (1.1), (1.2) can be extended to the whole real line as a T-periodic solution of (1.1). Conversely, any T-periodic solution of (1.1) satisfies (1.2). We thus may refer to solutions of (1.1), (1.2) as T-periodic solutions of (1.1). 2000 Mathematics Subject Classification. Primary 34B15, 34C25. Key words and ...
WebTo find the wave solutions of nonlinear fractional partial differential equations in the literature, the G ′ G-expansion method, which is a reliable and effective method that greatly … linksfield cornerWebSep 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 case and the attractive case are studied. The proof is based on Schauder’s fixed point theorem. Recent results in the literature are generalized and significantly improved. … linksfield hospital doctorsWebTheorem 1 If u(x) is a solution of (1) with u(P)=u(0), then u is periodic with period P, that is, u(x+P)=u(x) for all x. Proof The key ingredient is the uniqueness assertion: If u(x) and v(x) both satisfy (1) with u(0)=v(0), then u(x)=v(x) for all x. We take this as a known fact. … linksfield farm cockermouthWebSep 11, 2024 · Differential Equations Differential Equations for Engineers (Lebl) 5: Eigenvalue problems ... (x\) will also oscillate with the same frequency. This, in fact, will … linksfield hospital maternityWebPeriodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. hourly home health careWebTo find the wave solutions of nonlinear fractional partial differential equations in the literature, the G ′ G-expansion method, which is a reliable and effective method that greatly reduces the size of the transaction volume compared to existing techniques, has been applied to different versions of (n + 1)-dimensional KP equations. hourly horseback ridingWebThe existence theorem of R. Nussbaum for periodic solutions of difference-differential equations is generalized to equations with a damping term. The study of such equations … linksfield hospital orthopedic surgeon