Cylindricality and autonomy of integrals and last multipliers of multidimensional differentional systems
V.N. Gorbuzov
TL;DR
This paper establishes conditions under which first integrals, last multipliers, and integral manifolds of linear homogeneous PDE and total differential systems exhibit cylindricality and autonomy.
Contribution
It introduces new criteria for the cylindricality and autonomy of integrals and multipliers in multidimensional differential systems.
Findings
Conditions for cylindricality of integrals identified
Criteria for autonomy of last multipliers developed
Applicable to linear homogeneous PDE and total differential systems
Abstract
The conditions of cylindricality and autonomy of first integrals, last multipliers and integral manifolds for linear homogeneous systems of partial differential equations and total differential systems are established.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Differential Equations and Numerical Methods · Mathematical Control Systems and Analysis