[PDF] Top 20 On Complex Oscillation Property of Solutions for Higher Order Periodic Differential Equations

... are replaced, respectively, by G ∗ j (t) and g ∗ j (t). Thus, Lemma 2.6 is proved. Remark 2.7 (see [10, 11]). Let h(z) be a transcendental entire function with order σ (h) = σ < 1/2. Then there exists a subset ... See full document

... of solutions vanishing at infinity, and the closely related problem on exis- tence of bounded oscillatory solutions, has attracted the attention in many papers, see, ...nonlinear equations with middle ... See full document

... of periodic solutions for delayed differential equations is an important research topic in ODE qualitative analysis, which has wide applications in mechanics, physics, ecology, economics, and other ... See full document

... of complex differential ...differential equations in the complex plane by using Nevanlinna theory; see, for example ...The order of growth of solutions of the ... See full document

... neutral differential equations find numerous applications in natural science and ...the oscillation and nonoscillation of solutions of various types of neutral functional differential ... See full document

... However, it seems that there is little work done on equation () whose coefficient func- tions are meromorphic functions. Recently, Wu et al. discussed the problem correlating with this in []. Now we still consider ... See full document

... almost periodic on R if, for any ε > 0, there exists a real number l = l(ε) > 0 with the property that, for any interval with length l(ε), it is possible to find a number δ = δ(ε) in this interval such ... See full document

... differential equations, and then by applying Mawhin’s continuation theory and some new inequalities, we obtain sufficient conditions for the existence of periodic solutions for ...of periodic ... See full document

... The value o f the function X[s] depends on x (-2 ), x(0), x '(-2 ). Therefore the right-hand side o f (9) depends on unknowns x (-2 ), x(0), x '(-2 ). To find these unknown numbers, we use the periodicity property ... See full document

... odic solutions of nonlinear high-order differential ...-periodic solutions for the fol- lowing fourth-order nonlinear differential ... See full document

... t, and τ is periodic and continuous with respect to t for each fixed s. In certain special cases, the results obtained generalize and improve some existing ones in the literature. Copyright © 2007 R. S. Dahiya and ... See full document

... a periodic boundary value problem for third-order linear differential equations,” Differentsial’nye Uravneniya, ...Differential Equations, ...“Periodic solutions of ... See full document

... Theorem 1.1 [5]: “If 𝐴(𝑧) and“ 𝐵("𝑧) are entire functions with“𝜌(𝐵) < 𝜌(𝐴) < ∞“and 𝑇 (𝑟, 𝐴)"~𝑙𝑜𝑔𝑀(𝑟; "𝐴) as“𝑟 → ∞“outside a set“𝐺“of finite logarithmic measure, then any non-constant solution of (1.2) ... See full document

... positive periodic solutions to second order differential equations with singular nonlinear ...positive solutions under reasonable ... See full document

... In this paper, we study the existence of solutions of periodic boundary value problems for impulsive differential equations depending on a parameter λ . By employing an existing critical point ... See full document

... Differential equations involving impul- sive effects occur in many applications: physics, population dynamics, ecology, biological systems, biotechnology, industrial robotic, pharmacokinetics, optimal control, ... See full document

... differential equations has been a significant development in the last two ...decades. Periodic solutions and periodic boundary value problems of impulsive differential equations have ... See full document

... Inspired by the work of Li [5], we give sufficient conditions for the existence and uniqueness of the 2π -periodic solution of 1.1 by using the initial value problem method and homeomorphi[r] ... See full document

... difference equations has been intensively studied in recent ...with equations of type ...the oscillation of higher-order di ff erence equation similar to ... See full document

... In recent years, Guo and Yu [16] considered (1.1) with N = 2 by variational methods directly, and they obtain the Kaplan-Yorke type periodic solutions. That is to say that they do not necessarily transform ... See full document