By Michael Gil
Difference equations seem as traditional descriptions of saw evolution phenomena simply because so much measurements of time evolving variables are discrete. in addition they seem within the purposes of discretization equipment for differential, necessary and integro-differential equations.
The software of the speculation of distinction equations is speedily expanding to numerous fields, corresponding to numerical research, keep an eye on conception, finite arithmetic, and laptop sciences. This ebook is dedicated to linear and nonlinear distinction equations in a normed house. the most method awarded during this publication is predicated on a mixed use of modern norm estimates for operator-valued features with the next equipment and results:
- The freezing method
- The Liapunov variety equation
- The approach to majorants
- The multiplicative illustration of solutions
- Deals systematically with distinction equations in normed areas
- Considers new sessions of equations that may no longer be studied within the frameworks of normal and partial distinction equations
- Develops the freezing approach and offers contemporary effects on Volterra discrete equations
- Contains an procedure in accordance with the estimates for norms of operator functions
Read or Download Difference Equations in Normed Spaces: Stability and Oscillations (North-Holland Mathematics Studies) PDF
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