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pro vyhledávání: '"Shair Ahmad"'
Autor:
Shair Ahmad, Ivanka M. Stamova
In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application poin
Autor:
Antonio Ambrosetti, Shair Ahmad
The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally
Autor:
Alan C. Lazer, Shair Ahmad
Publikováno v:
Journal of Mathematical Analysis and Applications. 445:710-718
In this paper, we study Logistic equations with non-periodic harvesting. We introduce the notion of separated solutions and then show the existence of upper and lower solutions that are separated. We further show that the lower solution is unique and
Autor:
Shair Ahmad, Antonio Ambrosetti
This book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught in an unde
Autor:
Shair Ahmad, Dung Le
Publikováno v:
Advances in Nonlinear Analysis, Vol 4, Iss 3, Pp 209-219 (2015)
Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Autor:
Shair Ahmad, Alan C. Lazer
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 33:1-6
We consider Kolmogorov-type systems which are not necessarily competitive or cooperative. Our main result shows that such systems cannot have nontrivial periodic solutions whose orbits are orbitally stable. We obtain our results under two assumptions
Autor:
Shair Ahmad, Antonio Ambrosetti
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more ch
Publikováno v:
Nonlinear Analysis: Real World Applications. 11:1878-1881
Tridiagonal Kolmogorov systems of dimension n can be seen as models describing the evolution of n biological species living in a “linear environment”. We will say that such a system is predator–prey if each planar subsystem, composed of two nei
On almost periodic processes in impulsive competitive systems with delay and impulsive perturbations
Autor:
Gani Tr. Stamov, Shair Ahmad
Publikováno v:
Nonlinear Analysis: Real World Applications. 10:2857-2863
In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with the general impulsive nonautonomous Lotka–Volterra system of integro-differential equations with infinite delay. The impul