Method of averaging for the system of functional-differential inclusions
The basic idea of this paper is to give the existence theorem and the method of averaging for the system of functional-differential inclusions of the form ⎧ (0) ⎨ ⎩ (1)
Displaying 21 – 40 of 51
Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions.
Agarwal, S., Bahuguna, D. (2004)
International Journal of Mathematics and Mathematical Sciences
Methods for studying stability of systems with linear delay.
Grebenshchikov, B.G. (2001)
Siberian Mathematical Journal
Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces.
Yang, He (2010)
Journal of Inequalities and Applications [electronic only]
Model of AIDS-related tumour with time delay
Marek Bodnar, Urszula Foryś, Zuzanna Szymańska (2009)
Applicationes Mathematicae
We present and compare two simple models of immune system and cancer cell interactions. The first model reflects simple cancer disease progression and serves as our "control" case. The second describes the progression of a cancer disease in the case of a patient infected with the HIV-1 virus.
Modeling the role of constant and time varying recycling delay on an ecological food chain
Banibrata Mukhopadhyay, Rakhi Bhattacharyya (2010)
Applications of Mathematics
We consider a mathematical model of nutrient-autotroph-herbivore interaction with nutrient recycling from both autotroph and herbivore. Local and global stability criteria of the model are studied in terms of system parameters. Next we incorporate the time required for recycling of nutrient from herbivore as a constant discrete time delay. The resulting DDE model is analyzed regarding stability and bifurcation aspects. Finally, we assume the recycling delay in the oscillatory form to model the...
Modelling and analysis of a pest-control pollution model with integrated control tactics.
Chen, Yiping, Liu, Zhijun, Qin, Wenjie (2010)
Discrete Dynamics in Nature and Society
Modified Wiener equations.
Watkins, Will (2001)
International Journal of Mathematics and Mathematical Sciences
Moment Lyapunov exponent of delay differential equations.
Fofana, M.S. (2002)
International Journal of Mathematics and Mathematical Sciences
Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces
Pengyu Chen, Yongxiang Li (2014)
Applications of Mathematics
In this paper we use a monotone iterative technique in the presence of the lower and upper solutions to discuss the existence of mild solutions for a class of semilinear impulsive integro-differential evolution equations of Volterra type with nonlocal conditions in a Banach space
Monotone iterative method for differential equations with piecewise constant arguments.
Zhang, Fengqin, Zhao, Aimin, Yan, Yurang (2000)
Portugaliae Mathematica
Monotone iterative technique for first-order nonlinear periodic boundary value problems on time scales.
Zhao, Ya-Hong, Sun, Jian-Ping (2010)
Advances in Difference Equations [electronic only]
Monotone iterative techniques and a periodic boundary value problem for first-order differential equations with a functional argument.
Qi, Aiqin, Liu, Yansheng (2000)
Georgian Mathematical Journal
Monotone Methods for Periodic solutions of Second Order Scalar Functional Differential Equations.
A. Bellen (1983)
Numerische Mathematik
Monotone semiflows generated by neutral equations with different delays in neutral and retarded parts.
Krisztin, T., Wu, J. (1994)
Acta Mathematica Universitatis Comenianae. New Series
Monotone solutions for a nonconvex functional differential inclusions of second order.
Ibrahim, Ahmed G., Al-Adsani, Feryal A. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function.
Hristova, S.G., Rangelova, M.A. (2002)
International Journal of Mathematics and Mathematical Sciences
Multiple periodic solutions for a class of second-order nonlinear neutral delay equations.
Shu, Xiao-Bao, Xu, Yuan-Tong (2006)
Abstract and Applied Analysis
Multiple periodic solutions to a class of second-order nonlinear mixed-type functional differential equations.
Shu, Xiao-Bao, Xu, Yuan-Tong (2005)
International Journal of Mathematics and Mathematical Sciences
Multiple positive periodic solutions for delay differential system.
Hao, Zhao-Cai, Xiao, Ti-Jun, Liang, Jin (2009)
Discrete Dynamics in Nature and Society