Displaying 21 – 40 of 120

Showing per page

Periodic solutions for first order neutral functional differential equations with multiple deviating arguments

Lequn Peng, Lijuan Wang (2014)

Annales Polonici Mathematici

We consider first order neutral functional differential equations with multiple deviating arguments of the form ( x ( t ) + B x ( t - δ ) ) ' = g ( t , x ( t ) ) + k = 1 n g k ( t , x ( t - τ k ( t ) ) ) + p ( t ) . By using coincidence degree theory, we establish some sufficient conditions on the existence and uniqueness of periodic solutions for the above equation. Moreover, two examples are given to illustrate the effectiveness of our results.

Periodic solutions for n -th order delay differential equations with damping terms

Lijun Pan (2011)

Archivum Mathematicum

By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for n th order delay differential equations with damping terms x ( n ) ( t ) = i = 1 s b i [ x ( i ) ( t ) ] 2 k - 1 + f ( x ( t - τ ( t ) ) ) + p ( t ) . Some new results on the existence of periodic solutions of the investigated equation are obtained.

Periodic solutions for some delay differential equations appearing in models of power systems

Bingwen Liu, Lihong Huang (2005)

Annales Polonici Mathematici

The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance.

Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia

A. Halanay (2012)

Mathematical Modelling of Natural Phenomena

Existence and stability of periodic solutions are studied for a system of delay differential equations with two delays, with periodic coefficients. It models the evolution of hematopoietic stem cells and mature neutrophil cells in chronic myelogenous leukemia under a periodic treatment that acts only on mature cells. Existence of a guiding function leads to the proof of the existence of a strictly positive periodic solution by a theorem of Krasnoselskii....

Currently displaying 21 – 40 of 120