Periodic Solutions for a Second-order Neutral Differential Equation with Variable Parameter and Multiple Deviating Arguments
نویسندگان
چکیده
By employing the continuation theorem of coincidence degree theory developed by Mawhin, we obtain periodic solution for a class of neutral differential equation with variable parameter and multiple deviating arguments.
منابع مشابه
Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments
Using Kranoselskii fixed point theorem and Mawhin’s continuation theorem we establish the existence of periodic solutions for a second order neutral differential equation with multiple deviating arguments. 1This project is supported by grant 10871213 from NNSF of China, by grant 06021578 from NSF of Guangdong. 154 Chengjun Guo, Donal O’Regan & Ravi P. Agarwal CUBO 12, 3 (2010)
متن کاملPeriodic solutions for p-Laplacian neutral functional differential equation with deviating arguments ✩
By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with deviating arguments such as (φp(x(t) − cx(t − σ))′)′ + g(t, x(t − τ (t)))= p(t), a result on the existence of periodic solutions is obtained. © 2006 Elsevier Inc. All rights reserved.
متن کاملPeriodic Solutions for p-Laplacian Differential Equation With Multiple Deviating Arguments
By employing Mawhin’s continuation theorem, the existence of periodic solutions of the p-Laplacian differential equation with multiple deviating arguments (φp(x′(t)))′ + f(x(t))x′(t) + n ∑ j=1 βj(t)g(x(t− γj(t))) = e(t) under various assumptions are obtained. Keywords—periodic solution, Mawhin’s continuation theorem, deviating argument.
متن کاملExistence of Positive Periodic Solutions to Third-order Delay Differential Equations
Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions to the following third-order neutral delay functional differential equation with deviating arguments ... x (t) + aẍ(t) + g(ẋ(t− τ(t))) + f(x(t− τ(t))) = p(t). Our results complement and extend known results and are illustrated with examples.
متن کامل