Titlebook: Qualitative Theory of Volterra Difference Equations; Youssef N. Raffoul Book 2018 Springer Nature Switzerland AG 2018 Volterra Difference

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Book 2018hers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory..

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e of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory..978-3-030-07318-3978-3-319-97190-2

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agenda

Mortar

Fixed Point Theory in Stability and Boundedness,e of periodic and bounded solutions. The author has extensively used Lyapunov functions/functionals for the purpose of analyzing solutions of functional equations, and each time the suitable Lyapunov functional presented us with unique difficulties, that could only overcome by the imposition of seve

ambivalence

Periodic Solutions,sults concerning Volterra difference equations with finite and infinite delays, using fixed point theory. Fixed point theory will enable us to obtain results concerning stability, classification of solutions, existence of positive solutions, and the existence of periodic solutions and positive perio

Intuitive

Population Dynamics,different types of population models including predator-prey models. Most commonly studied version of population models are described by continuous-time dynamics, whereas in real ecosystem the changes in populations of each species due to competitive interaction cannot occur continuously. Hence, dis

報(bào)復(fù)

Exponential and ,,-Stability in Volterra Equations,analysis. It is pointed out that in the case of exponential stability, Lyapunov functionals are hard to extend to vector Volterra difference equations or to Volterra difference equations with infinite delay. In addition, we use nonstandard discretization scheme due to Mickens [.] and apply them to c

絆住

Book 2018rra difference equations.? The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout...This book will be of use as a primary reference to researc