Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments

Periodic Solutions for a Second-order Neutral Differential Equation with Variable Parameter and Multiple Deviating Arguments

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.

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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Existence and Uniqueness of Anti-Periodic Solutions for Nonlinear Higher-Order Differential Equations with Two Deviating Arguments

In this paper, we use the Leray–Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with two deviating arguments of the form x(t) + f(t, x(n−1)(t)) + g1(t, x(t− τ1(t))) + g2(t, x(t− τ2(t))) = e(t). As an application, we also give an example to demonstrate our results. AMS Subject Cla...

Existence 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.

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY