Existence and global stability of positive periodic solutions of a discrete delay competition system.
Huo, Hai-Feng, Li, Wan-Tong (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Displaying similar documents to “Positive periodic solutions in neutral nonlinear differential equations.”
Existence and global stability of positive periodic solutions of a discrete delay competition system.
Periodic solutions of nth order delay Rayleigh equations
Gen-Qiang Wang, Sui Sun Cheng (2002)
Annales Polonici Mathematici
Similarity:
A priori bounds are established for periodic solutions of an nth order Rayleigh equation with delay. From these bounds, existence theorems for periodic solutions are established by means of Mawhin's continuation theorem.
Existence and uniqueness of periodic solutions for a kind of nonlinear nth order differential equations with delays
Weiwen Shao, Fuxing Zhang, Ya Li (2008)
Annales Polonici Mathematici
Similarity:
By applying the continuation theorem of coincidence degree theory, we establish new results on the existence and uniqueness of 2π-periodic solutions for a class of nonlinear nth order differential equations with delays.
Periodic solutions for some delay differential equations appearing in models of power systems
Bingwen Liu, Lihong Huang (2005)
Annales Polonici Mathematici
Similarity:
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.
Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays
Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi (2022)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.
Two periodic solutions of neutral difference equations modelling physiological processes.
Wu, Jun, Liu, Yicheng (2006)
Discrete Dynamics in Nature and Society
Similarity:
Existence of periodic solution for first order nonlinear neutral delay equations.
Wang, Genqiang, Yan, Jurang (2001)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Existence and Stability of Periodic Solutions for Nonlinear Neutral Differential Equations with Variable Delay Using Fixed Point Technique
Mouataz Billah MESMOULI, Abdelouaheb Ardjouni, Ahcene Djoudi (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
Our paper deals with the following nonlinear neutral differential equation with variable delay By using Krasnoselskii’s fixed point theorem we obtain the existence of periodic solution and by contraction mapping principle we obtain the uniqueness. A sufficient condition is established for the positivity of the above equation. Stability results of this equation are analyzed. Our results extend and complement some results obtained in the work [Yuan, Y., Guo, Z.: On the existence and...
Periodic solutions of differential equations with a general piecewise constant argument and applications.
Chiu, Kuo-Shou, Pinto, M. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Periodic solutions of a differential delay equation of Rayleigh type
S. Invernizzi, F. Zanolin (1979)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis.
Alzabut, J.O., Nieto, J.J., Stamov, G.Tr. (2009)
Boundary Value Problems [electronic only]
Similarity:
Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
A. Halanay (2012)
Mathematical Modelling of Natural Phenomena
Similarity:
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...
Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations
Božena Dorociaková, Rudolf Olach (2016)
Open Mathematics
Similarity:
The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered.