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New Trends in Differential and Difference Equations and Applications
Feliz Manuel Minhós and João Fialho
2019
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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.
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Keywords
- ?-Laplacian operator
- a priori estimates
- Arzèla Ascoli theorem
- asymptotic stability
- Bäcklund transformation
- Caputo fractional derivative
- Clairin’s method
- collocation method
- coupled nonlinear systems
- dichotomy
- difference equations
- Differential equations
- discrete Lyapunov equation
- dissipation
- divided-difference equations
- dynamical system
- effective existence criteria
- exponential dichotomy
- exponential stability
- first order periodic systems
- fixed point theory
- functional boundary conditions
- generalized Liouville equation
- global solutions
- heteroclinic solutions
- Hilbert space
- integro-differentials
- kinetic energy
- Korteweg-de Vries equation
- Legendre wavelets
- limit-periodic solutions
- lipschitz stability
- lower and upper solutions
- mathematical modelling
- mean curvature operator
- Miura transformation
- Nagumo condition on the real line
- Navier–Stokes equations
- non-instantaneous impulses
- non-uniform lattices
- polynomial solution
- Population Dynamics
- problems in the real line
- regular solutions
- Schauder’s fixed point theory
- second-order differential/difference/q-difference equation of hypergeometric type
- SIRS epidemic model
- state dependent delays
- strong nonlinearities
- Sumudu decomposition method
- three-step Taylor method
- time-dependent partial differential equations
- weak solutions
Links
DOI: 10.3390/books978-3-03921-539-3Editions
