By Anatoly M Samoilenko,Yuri V Teplinsky

Evolutionary equations are studied in summary Banach areas and in areas of bounded quantity sequences. For linear and nonlinear distinction equations, that are outlined on finite-dimensional and infinite-dimensional tori, the matter of reducibility is solved, specifically, in neighborhoods in their invariant units, and the fundamentals for a idea of invariant tori and bounded semi-invariant manifolds are tested. additionally thought of are the questions about life and approximate development of periodic suggestions for distinction equations in infinite-dimensional areas and the matter of extendibility of the recommendations in degenerate circumstances. For nonlinear differential equations in areas of bounded quantity sequences, new effects are received within the thought of countable-point boundary-value problems.

The e-book comprises new mathematical effects that would be invaluable in the direction of advances in nonlinear mechanics and theoretical physics.

Contents:

  • Reducibility difficulties for distinction Equations
  • Invariant Tori of distinction Equations within the area M
  • Periodic strategies of distinction Equations. Extention of Solutions
  • Countable-Point Boundary-Value difficulties for Nonlinear Differential Equations

Readership: Graduate scholars and researchers operating within the box of study and differential equations.

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Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces (World Scientific Series on Nonlinear Science Series A) by Anatoly M Samoilenko,Yuri V Teplinsky


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