Reprint
New Trends in Differential and Difference Equations and Applications
Edited by
October 2019
198 pages
- ISBN978-3-03921-538-6 (Paperback)
- ISBN978-3-03921-539-3 (PDF)
This is a Reprint of the Special Issue New Trends in Differential and Difference Equations and Applications that was published in
Computer Science & Mathematics
Physical Sciences
Summary
This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.
Format
- Paperback
License and Copyright
© 2019 by the authors; CC BY-NC-ND license
Keywords
Legendre wavelets; collocation method; three-step Taylor method; asymptotic stability; time-dependent partial differential equations; non-instantaneous impulses; Caputo fractional derivative; differential equations; state dependent delays; lipschitz stability; limit-periodic solutions; difference equations; exponential dichotomy; strong nonlinearities; effective existence criteria; population dynamics; discrete Lyapunov equation; difference equations; Hilbert space; dichotomy; exponential stability; ϕ-Laplacian operator; mean curvature operator; heteroclinic solutions; problems in the real line; lower and upper solutions; Nagumo condition on the real line; fixed point theory; coupled nonlinear systems; functional boundary conditions; Schauder’s fixed point theory; Arzèla Ascoli theorem; lower and upper solutions; first order periodic systems; SIRS epidemic model; mathematical modelling; Navier–Stokes equations; global solutions; regular solutions; a priori estimates; weak solutions; kinetic energy; dissipation; Bäcklund transformation; Clairin’s method; generalized Liouville equation; Miura transformation; Korteweg-de Vries equation; second-order differential/difference/q-difference equation of hypergeometric type; non-uniform lattices; divided-difference equations; polynomial solution; integro-differentials; Sumudu decomposition method; dynamical system