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Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients (Paperback, Softcover Repri)
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Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients (Paperback, Softcover Repri)
Series: Mathematics and its Applications, 87
Expected to ship within 10 - 15 working days
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Many problems in celestial mechanics, physics and engineering
involve the study of oscillating systems governed by nonlinear
ordinary differential equations or partial differential equations.
This volume represents an important contribution to the available
methods of solution for such systems. The contents are divided into
six chapters. Chapter 1 presents a study of periodic solutions for
nonlinear systems of evolution equations including differential
equations with lag, systems of neutral type, various classes of
nonlinear systems of integro-differential equations, etc. A
numerical-analytic method for the investigation of periodic
solutions of these evolution equations is presented. In Chapters 2
and 3, problems concerning the existence of periodic and
quasiperiodic solutions for systems with lag are examined. For a
nonlinear system with quasiperiodic coefficients and lag, the
conditions under which quasiperiodic solutions exist are
established. Chapter 4 is devoted to the study of invariant
toroidal manifolds for various classes of systems of differential
equations with quasiperiodic coefficients. Chapter 5 examines the
problem concerning the reducibility of a linear system of
difference equations with quasiperiodic coefficients to a linear
system of difference equations with constant coefficients. Chapter
6 contains an investigation of invariant toroidal sets for systems
of difference equations with quasiperiodic coefficients. For
mathematicians whose work involves the study of oscillating
systems.
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